{ "metadata": { "name": "", "signature": "sha256:17b81fc59b3647722c85ead73efa5a51aa0d784e0ecab7443060d38666bc2e17" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "$\\nu$-SQuIDS Demo: Welcome!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "get_ipython().magic(u'matplotlib inline')\n", "import matplotlib as mpl\n", "import nuSQUIDSpy as nsq\n", "import nuSQUIDSTools\n", "import numpy as np\n", "mpl.rc('font', family='serif', size=20)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Welcome to the $\\nu$-SQuIDS demo. In \n", "this notebook we will demostrate some of the functionalities of the $\\nu$-SQuIDS' python bindings. All of the calculations performed here can also be done in the C++ interface. Enjoy :)! Carlos & Jordi." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "The Basics: simple example" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Basic definitions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To start, like in the C++ case, we need to create a $\\nu$-SQuIDS object. To begin this demonstration we will create a simple single energy three flavor neutrino oscillation calculator. Thus we just need to specify the number of neutrinos (3) and if we are dealing with neutrinos or antineutrinos." ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(3,\"neutrino\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in the C++ $\\nu$-SQuIDS interface one can propagate the neutrinos in various environments (see the documentation for further details), and the user can create and include their own environments. To start a simple case, lets consider oscillactions in Vacuum " ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_Body(nsq.Vacuum())" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we have specify that we are considering vacuum propagation, we must construct - as in the C++ interface - a *trayectory* inside that object. This can be done using the `Track` property of the given `Body`. Each `Body` will have its on `Track` subclass and its constructors. We can set and construct a vacuum trayectory in the following way:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_Track(nsq.Vacuum.Track(0.,100.0*nuSQ.units.km))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we have to set the neutrino energy, which can be done as follows" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_E(1.0*nuSQ.units.GeV)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have to tell $\\nu$-SQuIDS what is the **initial neutrino state** and if such state is given in the **flavor or mass basis**. We can do this using the `Set_initial_state` function and providing it with a *list* and a *string*. If the string is *flavor* then list must contain [$\\phi_e$,$\\phi_\\mu$,$\\phi_\\tau$], similarly if the string is *mass* it the list must specify $\\phi_i$. Lets set the initial state to $\\nu_\\mu$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_initial_state(np.array([0,1,0]),\"flavor\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we can tell $\\nu$-SQuIDS to perform the calculation. In case one (or all) of the above parameters is not set $\\nu$-SQuIDS will throw an exception and tell you to fix it, but if you have defined everything then it will evolve the given state." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%time\n", "nuSQ.EvolveState()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "CPU times: user 2 \u00b5s, sys: 0 ns, total: 2 \u00b5s\n", "Wall time: 5.96 \u00b5s\n" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "After this runs $\\nu$-SQuIDS has evolved the state and store it in memory. Now there are lots of things you can ask $\\nu$-SQuIDS to do. What is the flavor composition now?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "[nuSQ.EvalFlavor(i) for i in range(3)]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "[0.005102281344228465, 0.9081523153175108, 0.08674540333826056]" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Writing and Reading the state" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\nu$-SQuIDS knows everything about the neutrino state at the current moment, it also knows what we did with it so far, where it went, what mixing parameters were used, etc. It would be comvinient to store this information. One way of doing this is to **save the $\\nu$-SQuIDS status**, we can do this in the following way" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.WriteStateHDF5(\"current_state.hdf5\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 64 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Everything that is in the $\\nu$-SQuIDS object is now in that file. We can use that file to create a new $\\nu$-SQuIDS object and do another calculation, we can stop the calculation midway and use it to restart, we can explore that file with other analysis tools, etc. In particular, the `ReadStateHDF5` will return us to the given configuration." ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.ReadStateHDF5(\"current_state.hdf5\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 65 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Simple Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets use the current tool to try to calculate $P(\\nu_\\mu \\to \\nu_e)$ as a function of energy. We can do the following" ] }, { "cell_type": "code", "collapsed": false, "input": [ "energy_values = np.linspace(1,10,40)\n", "nu_mu_to_nu_e = []\n", "for Enu in energy_values:\n", " nuSQ.Set_E(Enu*nuSQ.units.GeV)\n", " nuSQ.Set_initial_state([0,1,0],\"flavor\")\n", " nuSQ.EvolveState()\n", " nu_mu_to_nu_e.append(nuSQ.EvalFlavor(0))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 66 }, { "cell_type": "code", "collapsed": false, "input": [ "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$P(\\nu_\\mu \\to \\nu_e)$\")\n", "plot(energy_values,nu_mu_to_nu_e, lw = 2, color = 'blue')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 67, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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48SKEEIiMjGxzPwAM+mmqTW1tLQoKCuDk5IT+/fs3/Uv8Sr+c3fnz5xvdx5xH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\noGvXO+/1P3ftKq01q3+9+73+1dX1zqb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"text": [ "" ] } ], "prompt_number": 67 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Changing the oscillation parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a nice plot. But we do not see an *oscillation* like curve. The reason for this is that the oscillation parameters do not produce an oscillation pattern in this $L/E$ scale. **$\\nu$-SQuIDs has some predefined oscillation mixing angles ($\\theta_{ij}$) and mass splittings ($\\Delta m^2_{ij}$)**, which we have taken from the most recents fits. Perhaps you want to change this parameter to investigate what happens, this can be done easily using the `Set` function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set(\"dm21sq\",7.0e-5) # sets dm^2_{21} in eV^2." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then, again, do a plot with this simple script" ] }, { "cell_type": "code", "collapsed": false, "input": [ "energy_values = np.linspace(1,10,60)\n", "nu_mu_to_nu_e = []\n", "for Enu in energy_values:\n", " nuSQ.Set_E(Enu*nuSQ.units.GeV)\n", " nuSQ.Set_initial_state([0,1,0],\"flavor\")\n", " nuSQ.EvolveState()\n", " nu_mu_to_nu_e.append(nuSQ.EvalFlavor(0))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$P(\\nu_\\mu \\to \\nu_e)$\")\n", "plot(energy_values,nu_mu_to_nu_e, lw = 2, color = 'blue')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Royzud+sTQ+Li4syeMTlgACCTAT/8AJSXA/XuD2KMsXYtMzOzTR41aLWEeJfx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\nnXACAgIQGRmJjo4OVFRUWDQuOzs7ZGZm4uLFi+j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"text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also try to modify the mixing angles (see how to do this in detail in the documentation), for example" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set(\"th12\",1.2) # sets \\theta_{12} in radians.\n", "nuSQ.Set(\"th13\",0.3) # sets \\theta_{23}} in radians.\n", "nuSQ.Set(\"th23\",0.4) # sets \\theta_{23}} in radians." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "energy_values = np.linspace(1,10,60)\n", "nu_mu_to_nu_e = []\n", "for Enu in energy_values:\n", " nuSQ.Set_E(Enu*nuSQ.units.GeV)\n", " nuSQ.Set_initial_state([0,1,0],\"flavor\")\n", " nuSQ.EvolveState()\n", " nu_mu_to_nu_e.append(nuSQ.EvalFlavor(0))\n", "\n", "figure(figsize = (8,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$P(\\nu_\\mu \\to \\nu_e)$\")\n", "plot(energy_values,nu_mu_to_nu_e, lw = 2, color = 'blue')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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tWsyaNcvigKDT6ZCQkIANGzZgw4YNqKiowLZt2/DJJ59g0qRJ0Gg0RscUFhZi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\nJNCbjjHGGGPMDO4zwxhjjDFJ42SGMcYYY5LGyQxjjDHGJI2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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Changing where the neutrino propagation takes place" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in the C++ implementation we can change the `Body` by means of the `Set_Body` function and in similar way we can change the `Track`. Lets do an atmospheric oscillation example =)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(3,\"neutrino\")\n", "nuSQ.Set_Body(nsq.EarthAtm())\n", "nuSQ.Set_Track(nsq.EarthAtm.Track(np.arccos(-1)))\n", "nuSQ.Set(\"rel_error\", 1.0e-15)\n", "nuSQ.Set(\"abs_error\", 1.0e-15)\n", "\n", "nuSQ.Set(\"th12\",0.563942)\n", "nuSQ.Set(\"th13\",0.154085)\n", "nuSQ.Set(\"th23\",0.785398)\n", "nuSQ.Set(\"dm21sq\",7.65e-05)\n", "nuSQ.Set(\"dm31sq\",0.00247)\n", "nuSQ.Set(\"delta1\",0.0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "energy_values = np.linspace(1,100,120)\n", "energy_values = np.logspace(0,2,120)\n", "nu_mu_to_nu_e = []\n", "nu_mu_to_nu_mu = []\n", "nu_mu_to_nu_tau = []\n", "for Enu in energy_values:\n", " nuSQ.Set_E(Enu*nuSQ.units.GeV)\n", " nuSQ.Set_initial_state([0,1,0],\"flavor\")\n", " nuSQ.EvolveState()\n", " nu_mu_to_nu_e.append(nuSQ.EvalFlavor(0))\n", " nu_mu_to_nu_mu.append(nuSQ.EvalFlavor(1))\n", " nu_mu_to_nu_tau.append(nuSQ.EvalFlavor(2))\n", "\n", "figure(figsize = (8,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"Oscillation Probability\")\n", "plot(energy_values,nu_mu_to_nu_e, lw = 2, color = 'red', label = r\"$\\nu_e$\")\n", "plot(energy_values,nu_mu_to_nu_mu, lw = 2, color = 'blue',label = r\"$\\nu_\\mu$\")\n", "plot(energy_values,nu_mu_to_nu_tau, lw = 2, color = 'green', label = r\"$\\nu_\\tau$\")\n", "legend(fancybox = True, fontsize = 15, loc = 7)\n", "semilogx()\n", "ylim(0,1)\n", "savefig(\"earth_oscillation.pdf\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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3oVNGJ652rjkXgUmkjhGpyiKAfLkL2jbaq5c051M7d7H31F4AwMD8geosQGa0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QmiZAO2IxcVFeRqsKcHaOqSycWxpwJnn00u9Z991voEDGh7XAAa5SJTW6S5GRBFCAOqlZ/LzRWs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\n9cUX6FoO4ASQk5+DwupCtI1t67dpqJ7eh9/XccstFMBu3AhUVOh67ZXWn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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_Body(nsq.Earth())\n", "nuSQ.Set_Track(nsq.Earth.Track(0.0,750.0*nuSQ.units.km,750.0*nuSQ.units.km))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set(\"rel_error\", 1.0e-15)\n", "nuSQ.Set(\"abs_error\", 1.0e-17)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "energy_values = np.linspace(1,10,70)\n", "nu_mu_to_nu_e = []\n", "for Enu in energy_values:\n", " nuSQ.Set_E(Enu*nuSQ.units.GeV)\n", " nuSQ.Set_initial_state([0,1,0],\"flavor\")\n", " nuSQ.EvolveState()\n", " nu_mu_to_nu_e.append(nuSQ.EvalFlavor(1))\n", "\n", "figure(figsize = (8,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$P(\\nu_\\mu \\to \\nu_e)$\")\n", "plot(energy_values,nu_mu_to_nu_e, lw = 2, color = 'blue')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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HDh1CUFAQBg8ejNDQ0DKnjhJVlfx8YNQoGTJCQjiVlYhIDUYbo3Hjxg2MGzcO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\nrXZSnw2kGwL29vYett7X1xfAzUcsU0lWVhZCQkL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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(3,\"neutrino\")\n", "nuSQ.Set_Body(nsq.ConstantDensity(13.0,0.5))\n", "nuSQ.Set_Track(nsq.ConstantDensity.Track(0.0,1000.0*nuSQ.units.km))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set(\"th12\",0.569595)\n", "nuSQ.Set(\"th13\",0.201357)\n", "nuSQ.Set(\"th23\",0.785398)\n", "nuSQ.Set(\"dm21sq\",7.9e-5)\n", "nuSQ.Set(\"dm31sq\",2.5e-3)\n", "nuSQ.Set(\"delta1\",0.0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "energy_values = np.logspace(-2,2,500)\n", "nu_mu_to_nu_e = []\n", "for Enu in energy_values:\n", " nuSQ.Set_E(Enu*nuSQ.units.GeV)\n", " nuSQ.Set_initial_state([0,1,0],\"flavor\")\n", " nuSQ.EvolveState()\n", " nu_mu_to_nu_e.append(nuSQ.EvalFlavor(0))\n", "\n", "figure(figsize = (8,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$P(\\nu_\\mu \\to \\nu_e)$\")\n", "plot(energy_values,nu_mu_to_nu_e, lw = 2, color = 'blue')\n", "semilogx()\n", "savefig(\"nu_mu_nue_single_energy.eps\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZrrzyShQVFWHMmDHYuHEjVq5ciagobZmqZcuWaN26teq2Zs2aGXnaftFSCdEyrBEqWish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\ngD//WYwjy2dLUEOeliaXV0KklU4l0sJk+/aJR2+VELWhGMA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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize = (8,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$P(\\nu_\\mu \\to \\nu_e)$\")\n", "plot(energy_values,nu_mu_to_nu_e, lw = 2, color = 'blue')\n", "semilogx()\n", "savefig(\"nu_mu_nue_single_energy.pdf\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YcpJNmjTB+PHjcfDgQRQUFNTZJh1jypQpl14rLy/H0KFDMXbsWJ+Wc9dCGUKk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\nbAmqz93S5PJKiLTSqURamOzAAfHoqRKiNhQDuKbfHjrkmt5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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Advanced example#" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So far we have been able to calculate the oscillation probability in a given `Body` and `Track`. We have also been able to change the oscillation parameters (mixing angles and square mass differences), as well as changing the neutrino energy. This is what solving the **Sch\u00f6dinger evolution equation** does and it is a good approximation for most cases, but $\\nu$-SQuIDS does **more**: it can solve a **quantum Boltzmann equation**. This means that it can solve a system of the following form" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\frac{\\partial\\hat{\\rho}_i}{\\partial x} = i [H,\\hat{\\rho}_i] + \\{A,\\hat{\\rho}_i\\} + O(\\hat{\\rho}_i,\\hat{\\rho}_j)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "where $\\hat{\\rho_i}$ represents the neutrino state at $E_\\nu = E_i$, $H$ is the Hamiltonian, $A$ is a non unitary operator, and $O$ is an operator that contains the interactions between neutrino states of energies $E_i$ and $E_j$. The **SQuIDS package was designed to solve this kind of equations** (and *more*), in particular **$\\nu$-SQuIDS implements this equation for neutrino propagation** in matter including the effects of neutral and charge current interactions, as well as the associated neutral and tau regeneration. For further details refer to [Gonzalez-Garcia et al.](#CHM)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To begin we have to specify the $\\{E_i\\}$ grid where the equation will be solve. $\\nu$-SQuIDS provides two options for this: \n", "- Linear\n", "- Log\n", "\n", "for given $E_{\\rm min}$, $E_{\\rm max}$, and number of nodes. In this example we will construct a linear grid as between $1 {\\rm GeV}$ and $10 {\\rm GeV}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Multiple Energy Mode without Interactions##" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(1.0,10.0,81,3,\"neutrino\",False,False)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the nodes energies $\\{E_i\\}$, which is (in [eV])" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.array(nuSQ.GetERange())" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 44, "text": [ "array([ 1.00000000e+09, 1.11250000e+09, 1.22500000e+09,\n", " 1.33750000e+09, 1.45000000e+09, 1.56250000e+09,\n", " 1.67500000e+09, 1.78750000e+09, 1.90000000e+09,\n", " 2.01250000e+09, 2.12500000e+09, 2.23750000e+09,\n", " 2.35000000e+09, 2.46250000e+09, 2.57500000e+09,\n", " 2.68750000e+09, 2.80000000e+09, 2.91250000e+09,\n", " 3.02500000e+09, 3.13750000e+09, 3.25000000e+09,\n", " 3.36250000e+09, 3.47500000e+09, 3.58750000e+09,\n", " 3.70000000e+09, 3.81250000e+09, 3.92500000e+09,\n", " 4.03750000e+09, 4.15000000e+09, 4.26250000e+09,\n", " 4.37500000e+09, 4.48750000e+09, 4.60000000e+09,\n", " 4.71250000e+09, 4.82500000e+09, 4.93750000e+09,\n", " 5.05000000e+09, 5.16250000e+09, 5.27500000e+09,\n", " 5.38750000e+09, 5.50000000e+09, 5.61250000e+09,\n", " 5.72500000e+09, 5.83750000e+09, 5.95000000e+09,\n", " 6.06250000e+09, 6.17500000e+09, 6.28750000e+09,\n", " 6.40000000e+09, 6.51250000e+09, 6.62500000e+09,\n", " 6.73750000e+09, 6.85000000e+09, 6.96250000e+09,\n", " 7.07500000e+09, 7.18750000e+09, 7.30000000e+09,\n", " 7.41250000e+09, 7.52500000e+09, 7.63750000e+09,\n", " 7.75000000e+09, 7.86250000e+09, 7.97500000e+09,\n", " 8.08750000e+09, 8.20000000e+09, 8.31250000e+09,\n", " 8.42500000e+09, 8.53750000e+09, 8.65000000e+09,\n", " 8.76250000e+09, 8.87500000e+09, 8.98750000e+09,\n", " 9.10000000e+09, 9.21250000e+09, 9.32500000e+09,\n", " 9.43750000e+09, 9.55000000e+09, 9.66250000e+09,\n", " 9.77500000e+09, 9.88750000e+09, 1.00000000e+10])" ] } ], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets propage this neutrino through the Earth in an atmospheric neutrino telescope setting. We can do that by setting the following `Body` and `Track`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_Body(nsq.EarthAtm())\n", "nuSQ.Set_Track(nsq.EarthAtm.Track(np.arccos(-1)))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets assume that $\\phi_\\nu = N_0 E^{-2}$, with flavor composition $\\phi_e:\\phi_\\mu:\\phi_\\tau$ = $0:1:0$. $\\nu$-SQuIDS input flux is a `numpy.ndarray` formatted in the following way : \n", "\n", "$$InputState \\doteq [[\\phi^1_e,\\phi^1_\\mu,\\phi^1_\\tau],...,[\\phi^i_e,\\phi^i_\\mu,\\phi^i_\\tau],...,[\\phi^n_e,\\phi^n_\\mu,\\phi^n_\\tau]]$$ where i = 1 to n and n is the number of energy nodes. We can implement this in the following way" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N0 = 1.0e18\n", "Eflux = lambda E: N0*E**-2\n", "Einitial = (Eflux(np.array(nuSQ.GetERange())).reshape((81,1)))*(np.array([0.,1.,0.]).reshape(1,3))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the initial flux:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$\\phi_{ini}$\")\n", "plot(np.array(nuSQ.GetERange())/nuSQ.units.GeV,np.array(Einitial)[:,1])\n", "loglog()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 47, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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zyoKmAOBvdr1/hvx6bE5Z0BQA/M2u98+QL2wAAGcJ+UeRAABnobABAByFwgYA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\nUShsAABHobABAByFwgYAcBQKGwDAUf4ftx/Eq54bWykAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets set this initial state" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_initial_state(Einitial,\"flavor\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 48 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets **propage** this flux through the **Earth**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set(\"rel_error\", 1.0e-18);\n", "nuSQ.Set(\"abs_error\", 1.0e-18);\n", "nuSQ.Set(\"h_max\", 500.0*nuSQ.units.km);\n", "nuSQ.Set(\"th12\",0.563942);\n", "nuSQ.Set(\"th13\",0.154085);\n", "nuSQ.Set(\"th23\",0.785398);\n", "nuSQ.Set(\"dm21sq\",7.65e-05);\n", "nuSQ.Set(\"dm31sq\",0.00247);\n", "nuSQ.Set(\"delta1\",0.0);" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.GetTrack().GetX()/nuSQ.units.km" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 51, "text": [ "12742.0" ] } ], "prompt_number": 51 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.EvolveState()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 50 }, { "cell_type": "markdown", "metadata": {}, "source": [ "That' it. Now `nuSQ` contains the evolved object. Lets get the information from it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now calculate all of the flavor contributions at this current time. Notice that we can even increase the energy resolution in this multiple energy mode. The reason for this is that $\\nu$-SQuIDS stores the neutrino states (${\\rho_i}$) in the interaction basis, thus it can interpolate between states and then proyect into flavor. In symbols, for a given neutrino energy $E_\\nu$ and flavor $\\alpha$,\n", "\n", "$$\\texttt{EvalFlavor}(E_\\nu,\\alpha) = {\\rm Tr}\\left[\\Pi_\\alpha (E_\\nu) * \\rho(E_\\nu)\\right]$$\n", "\n", "where $\\Pi_\\alpha (E_\\nu) = e^{-i\\hat{H_0}}\\Pi_\\alpha e^{i\\hat{H_0}}$, with $H_0$ the base hamiltonian evaluated at $E_\\nu$, and $\\rho(E_\\nu)$ is a linear interpolation of the $\\rho_i$ states in the energy (node) axis." ] }, { "cell_type": "code", "collapsed": false, "input": [ "e_range = np.linspace(1.0,10.0,300)\n", "\n", "nu_e = np.array([nuSQ.EvalFlavor(0,EE*nuSQ.units.GeV,0) \n", " for EE in np.linspace(1.0,10.0,300)])\n", "nu_mu = np.array([nuSQ.EvalFlavor(1,EE*nuSQ.units.GeV,0) \n", " for EE in np.linspace(1.0,10.0,300)])\n", "nu_tau = np.array([nuSQ.EvalFlavor(2,EE*nuSQ.units.GeV,0) \n", " for EE in np.linspace(1.0,10.0,300)])\n", "\n", "total = nu_e + nu_mu + nu_tau" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 52 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize = (8,6))\n", "\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$\\phi_e$\")\n", "\n", "plot(e_range,nu_e, lw = 2, color = 'red', label = r\"$\\nu_e$\")\n", "plot(e_range,nu_mu, lw = 2, color = 'blue', label = r\"$\\nu_\\mu$\")\n", "plot(e_range,nu_tau, lw = 2, color = 'green', label = r\"$\\nu_\\tau$\")\n", "plot(e_range,total, lw = 2, color = 'black', label = r\"Total\")\n", "legend(fancybox = True, fontsize = 10)\n", "loglog()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 53, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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JlrvNkcKkhcjMFI/1VxZ2t3PX5pvkldXaIRmGHRNFmLioDTsmGo2GzBIhTCpy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m7iMXQNTtzSEJPKTxYx8XXzRXR4NBgY1lywvhmiGPYk7UFSRhKq+VRDt94aT5P33iuVchl/f96k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\nS5YYJUky5ubmWty/fPlyoyRJxq1bt1rc/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"text": [ "" ] } ], "prompt_number": 53 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now try to reproduce the plot that we did in the single energy case: $P(\\nu_\\mu \\to \\nu_e)$. If you compare with the single energy plot you will notice that they are in agrement and, furthermore, the multiple energy mode **was able to reproduce the *fast* oscillation behaviour** at low energies eventhough it has **less energy nodes**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize = (8,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$P(\\nu_\\mu \\to \\nu_e)$\")\n", "nu_mu_to_nu_e = nu_e/Eflux(np.linspace(1.0,10.0,300)*nuSQ.units.GeV)\n", "ylim(0,0.6)\n", "plot(e_range,nu_mu_to_nu_e, lw = 2, color = 'blue')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 55, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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B2rx+p05AbCzw889Aaqo2fSAi52HQIPJwWgcNgMMnRO6MZ53YiWedkDsqLgZatJCzR/Lz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\nKpX1bpeWlob3338fAQEBGDVqFKZNm4awsDBkZGRAo9Fg5syZyM3NNfq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"text": [ "" ] } ], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize = (8,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"Oscillation Probability\")\n", "nu_mu_to_nu_mu = nu_mu/Eflux(np.linspace(1.0,10.0,300)*nuSQ.units.GeV)\n", "nu_mu_to_nu_tau = nu_tau/Eflux(np.linspace(1.0,10.0,300)*nuSQ.units.GeV)\n", "nu_mu_to_nu_e = nu_e/Eflux(np.linspace(1.0,10.0,300)*nuSQ.units.GeV)\n", "plot(e_range,nu_mu_to_nu_mu, lw = 2, color = 'blue',label = r\"$\\nu_\\mu$\")\n", "plot(e_range,nu_mu_to_nu_e, lw = 2, color = 'green',label = r\"$\\nu_e$\")\n", "plot(e_range,nu_mu_to_nu_tau, lw = 2, color = 'red',label = r\"$\\nu_\\tau$\")\n", "legend(fancybox = True, fontsize = 15, loc = 'upper right')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 55, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Q4IMPgD176B9x82bgtdeAJ54gwb1gAXlFatUiYXHliuPsY5gSAIsIfSwcwGXKCwFYKSIE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Gfvn8XSE0vx9Zmv8VaPt9Cy9TzEXrTDjRs1Xc2iFyIiwvwnuNS8VIzcMBKn7p6Cm4MbNozZgCEt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\nE6JO7Gn0+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WM+H6KpjkkE0RRnqYcoLS3FTz/9hCtXrqCmpgYLFiywu4CP1cGDBwEAzz//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\njuJwAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 55 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Multiple Energy Mode with Interactions##" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The multiple energy mode solves the quantum differential equactions in an energy grid (${E_i}$), this enables to include interactions between nodes at positions $i$ and $j$. We will now exemplify this." ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(1.0e2,1.0e8,200,3,\"neutrino\",True,True)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "N0 = 1.0e18; Power = -1.0\n", "Eflux = lambda E: N0*E**Power\n", "InitialFlux = (Eflux(np.array(nuSQ.GetERange())).reshape(200,1))*(np.array([0.,1.,0.]).reshape(1,3))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set(\"rel_error\", 1.0e-6)\n", "nuSQ.Set(\"abs_error\", 1.0e-6)\n", "nuSQ.Set(\"h_max\", 500.0*nuSQ.units.km)\n", "#nuSQ.Set(\"h_min\", 1.0*nuSQ.units.meter)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_initial_state(InitialFlux,\"flavor\")\n", "nuSQ.Set_Body(nsq.EarthAtm())\n", "nuSQ.Set_Track(nsq.EarthAtm.Track(np.arccos(-1.0)))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "%time nuSQ.EvolveState()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "CPU times: user 51.7 s, sys: 37.3 ms, total: 51.7 s\n", "Wall time: 51.7 s\n" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "nu_e = np.array([nuSQ.EvalFlavorAtNode(0,ie,0) \n", " for ie in range(200)])\n", "nu_mu = np.array([nuSQ.EvalFlavorAtNode(1,ie,0) \n", " for ie in range(200)])\n", "nu_tau = np.array([nuSQ.EvalFlavorAtNode(2,ie,0) \n", " for ie in range(200)])\n", "\n", "E_range = np.array(nuSQ.GetERange())/nuSQ.units.GeV\n", "\n", "total = nu_e + nu_mu + nu_tau" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "figure(figsize = (8,6))\n", "\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$\\phi_\\nu$\")\n", "\n", "plot(E_range,nu_e, lw = 2, color = 'red', label = r\"$\\nu_e$\")\n", "plot(E_range,nu_mu, lw = 2, color = 'blue', label = r\"$\\nu_\\mu$\")\n", "plot(E_range,nu_tau, lw = 2, color = 'green', label = r\"$\\nu_\\tau$\")\n", "plot(E_range,total, lw = 2, color = 'black', label = r\"Total\")\n", "legend(fancybox = True, loc = 'lower left', fontsize = 15)\n", "loglog()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Z0bZt26fWeSmvCv0A79+HnTvlIHP+/JPyNm3ksTHTpoFNxadEKyUlf8T+gVeIF3uv7SW3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JAhqK+vR1ZWFnx9fbteWardQY+q6upqmjNnDgmC0OWuZu1hLE9PT1IoFDRq1ChRh7E0Gg2FhoaK\n2nVmqUyRJyKiQ4cOkZOTE+Xn5xsrdJOSKk9Lly6lnTt3EtGPh2Ct/bCRVLlSKpW0cuVKam5uJqIH\nn6k+ffrQ2bNnJZmH1KTI0/fff0+CIJC9vb0uL+fPnydbW1s6cOCAZHORmil+T5WWltLgwYOpra3N\nmKGblFR5SktLI3d3d7p+/ToREWVmZpKzszMVFRV1GRMXL93w97//ndzc3MjZ2fmhjysgevAX6O/v\nTx4eHvTVV1/RDz/8QCdOnCAHBweaNm3aQ08gTk5Opvj4eCmmYBKmypPWjBkzKCwszJhTMAmp8nTh\nwgWaMGECaTQaIvqxeDl9+rTkc5KKqT9ToaGhNGvWLGNOwSSkytPNmzdJEASDnPz617+mwMBAyeYj\nJVN9plavXk3Lly+XYgomIVWeNBoNOTs701/+8he99wgPDxf13ePiRaQdO3aQu7s7KZVKmjt3bpd/\nia+++ioJgkBKpVKvfevWrborpzqSkpJCs2bNsvirozojdZ60/zv+qT/96U/k6upqnAmYiJR5evPN\nNykgIIDCw8MpPDycgoODSRAEGjt2LIWHh9O3334r2bykYKrv3k8lJCSQv79/r2M3JSnz1NbWRgqF\nghYtWqQ3Njk52eq+e0Sm+0xpNBry8vKiy5cvGzV+U5EyT7dv3yZBEOjDDz/UGzt37lx66qmnuoyN\nixeR8vPzdZdod/WgyLq6OlIoFDRs2DCDvrt375JMJiMfHx+DvrS0NIqKiqKWlhYiIiorK6MvvvjC\niLOQntR56ugflN/+9rf0i1/8wgjRm44pPk9aFRUVVn3YSOpcJScnU2Njo15bZGSkwZU1lk7qPD3/\n/PM0e/ZsvbbExEQKCAgw0gxMx1Tfvy+++IKCg4ONF7iJSZmn9vZ2UigUBg9UjoqKoqioqC5jeyRu\nUmcKISEhcHR0FDU2NzcXzc3NePbZZw36XFxc4OPjg9LSUly7dk3XnpGRgY0bN2LVqlW4ePEiCgsL\nkZOTg7y8PKPNwRSkzlN9fT127Nihe33hwgUcO3YM8+bN633wJiR1nn6KiPT+tDZS5+rs2bN6N8ZS\nqVQ4deoUFi5c2PvgTUjqPK1YsQI5OTkoKSkB8OCGdZ988gkWL15snAmYkKm+f/v27UNSUlKv4zUX\nKfMkk8mQkJCADz74QPdcwqKiIuTm5iIxMbHL7fHVRhLQ3hn355fLaXl5eaGkpARff/01fHx8AADx\n8fFob29HeHi4bpwgCHjjjTekDtdsxObp0qVLujxt3LgRe/bswUcffQQbGxs0NTVh27ZteOWVV0wV\ntsn1JE9aixYtQkFBAQRBwMKFC+Hj44NPPvlE6pDNpie5Sk5Oxl//+lccOXIEGo0GbW1tOHz4MKZN\nm2aqsE2uJ3maPHky0tLSEBsbC3t7e7S1tWHLli1ISEgwVdhm0dPvX11dHbKzs7Fr1y5ThGl2PclT\nSkoK1q1bh8jISNjZ2aGxsRG7du1CbGxsl9vj4kUCt27dAgA4Ozt32D9gwAAAQHV1ta6tpaVF+sAs\njNg83b59W9cWFxeHuLg46YOzID3Jk1Zqaqp0gVmgnuQqKirqsbsXTk8/U/z9M9RZrhwdHXHnzh1p\ng7MgPcmTra0tNm/e3KPt8WEjCWjvq9G3b98O+/v16wcAaGxsNFlMlojzJA7nSTzOlTicJ/E4V+KY\nOk9cvEjA1tYWANDa2tphv3YvS//+/U0WkyXiPInDeRKPcyUO50k8zpU4ps4TFy8S0N4CWnsS0s/V\n1NQAAAYPHmyymCwR50kczpN4nCtxOE/ica7EMXWeuHiRwJgxYwAA5eXlHfZXVFRAEASMHj3alGFZ\nHM6TOJwn8ThX4nCexONciWPqPHHxIoFJkyZBLpfj3LlzBn13795FSUkJRowYgZEjR5ohOsvBeRKH\n8yQe50oczpN4nCtxTJ0nLl4kYG9vj3nz5qGqqgpKpVKvLz09HQCwZMkSM0RmWThP4nCexONcicN5\nEo9zJY7J8yT+XnuPN41GQ2q1mtRqNcXFxeludaxWq3V3IPyp2tpaevrpp8nd3Z3y8vKosbGRjh8/\nTg4ODhQdHW21t//vCudJHM6TeJwrcThP4nGuxLHkPHHxIpL24XbaRSaT6X729vbucB3t0zU9PDxI\nLpeTj4+P6KclWyvOkzicJ/E4V+JwnsTjXIljyXkSiKz0nuGMMcYYeyzxOS+MMcYYsypcvDDGGGPM\nqnDxwhhjjDGrwsULY4wxxqwKFy+MMcYYsypcvDDGGGPMqnDxwhhjjDGrwsULY4wxxqwKFy+MMcYY\nsypcvDDGGGPMqnDxwhhjjDGrwsULY8zqLFu2DEFBQRg/fjwaGhrMHY6B7du3Izg4GL6+vqisrDR3\nOIw9crh4YYxJgogwc+ZMPPXUU5DJZHBwcEBUVBSmTp2KqVOnYsqUKRgzZgxsbGwgk8lQVFQk+r3V\najWOHj2K/Px82NnZdTruypUrWLFiBcLCwjB58mTExsbi5ZdfRllZGTQaDX7zm9+gurpa9HYXLFgA\nd3d3yGQy9O3bFyEhITh27JjBOKVSifPnz6OkpAT+/v44d+6c6G0wxrrWx9wBMMYeTYIg4NNPP4VK\npUJERASWLVuGP//5zwbjvv76awQHB2PYsGHden8i6rSvvr4ef/jDH6BUKvHWW29hw4YN6NPnwa+7\ne/fuYf78+ZDL5bh48SLc3NxEb3P37t345ptv4O/vj9jYWBw8eLDDcdnZ2QgICEB1dTXy8/Ph6enZ\nrbkxxh6OixfGmKTOnDkDAIiMjOywf/To0YiMjMTgwYONsr3vvvsO06dPh6OjI4qLi+Hs7KzX7+Li\ngrfffhs+Pj5YvHhxt9/f29sbAFBVVdXpmBMnTiApKQkXLlx4aJHFGOsZPmzEGJOUSqWCra0tgoOD\ndW1tbW1656oYa89ETU0NoqOj0dzcjKysLIPCRWv48OHw8/PD5MmTu70NW1tbuLm5oby8vMP+uro6\nHDp0CIsWLer2ezPGxOHihTEmmdbWVhQUFGD8+PHo27evrv3IkSMoKCjQvX7hhReMsr3XXnsNV65c\nQVpaGpycnB46duDAgQgPD+/Rdry9vVFZWYn29naDvrVr1+KNN96AIAg9em/GWNf4sBFjTDKFhYVo\namrSKxLu3buHlJQUnD59WtfW2SGl7jh//jwOHTqE559/HmFhYV2OX7t2Lfr376/XVlxcjJ07d8LZ\n2Rmtra343//+h9TUVNjb2+uN8/b2xr/+9S9899138PLy0rWfPXsWdnZ2GD16dK/nwxjrHBcvjDHJ\naM93yczMRF5eHu7du4fi4mKMGzfOoHDorT179gAAfve734kaP2nSJL3X6enp2L59O5RKJYYMGQIA\neOedd5Cbm4uZM2fqjdUWLOXl5bqfW1tbsWnTJmRkZPRiFowxMbh4YYxJRqVSQS6XQ6VSoV+/fgAe\nFBnXrl0z+rZyc3MhCIJBUSJGQUEB5s+fD5VKpStczp07B5VKhcTERIPx2pN2y8vLERERAQDYsmUL\nFi1aBIVC0YtZMMbE4OKFMSaJ9vZ2fPXVVwgMDNQVLgDg5OSkd1jnP//5D5ydneHh4dGr7X3//fdw\ncHDAoEGDDPpKS0uxcOFCqNVqqNVqAMCgQYPwzjvvYOLEiVi3bh1cXFxw4sQJHD9+HO3t7fDz80NG\nRobBISNAf8+L9v2vX7+OlStX9moOjDFxuHhhjEmiuLgY9+/fR2hoqF57YGCgbu8GAOzcuRPvvfde\nr7fn5OQEGxubDvtGjhyJnJwc/PDDD7Czs8PYsWN1Jwy3trbi5MmTePnll/H222+L2pZ2z0tFRQUA\n4PXXX8eOHTt6PQfGmDh8tRFjTBLa810mTpyo1+7t7a07tHL9+nU4OTnpXYnUUyEhIaiurkZ9fX2n\nY/Lz80FEmDJliq7t7t270Gg0GDFihOhteXp6QiaToaysDAcOHEBUVFSHe3wYY9Lg4oUxJgmVSgWZ\nTIYJEyZ02E9EWLZsmegTbLuyfPlyEBF2797d6ZhDhw4B0C+oBg4cCEdHR7S2thqMv3LlCvbu3WvQ\n3q9fPwwdOhRXr17Fp59+iqSkJCPMgDEmFhcvjDGja2trw5dffgk/P78O77dy69YtzJ07F42NjRg5\ncqRRtjlx4kRs3boVa9aswfvvv4+2tjZdX0NDA9avX4+6ujqDgqpPnz5YsGABPv/8c733O3nyJLZs\n2YKXXnqpw+15eXmhsbERGzZsMEr8jDHx+JwXxpjRfPvtt3j11Vdx48YN1NTUQKPRIDo6WnfDtubm\nZty6dQvXrl2DRqPBkSNHdOuuWbMGGzZsQEVFhe6Ou0uWLMFzzz2H2bNni9r+73//ewQFBWH79u3Y\ntWsX3Nzc4OTkBEdHRyQmJmL16tVITEzEgAED9NbbuHEjVqxYgbi4OLi7u6OlpQXPPPNMh3tdtPz8\n/DBt2jSMGjWqu2lijPWSQPzgDcaYBSgtLcWUKVNQVlYG4MHeEl9fX93VSD+VmJiIdevW4cknnzRH\nqKJZS5yMWRs+bMQYswi5ubl692jZvHkzFi9e3OnziRhjjy8+bMQYswi5ubmYMWMGAOCf//wnysrK\ncPDgwU7H87ODGHt88Z4XxphFUKlUiIiIwIEDB5Cfn48DBw48dDwf8Wbs8cV7XhhjZldSUgK5XI6s\nrCxMnDix0yt8tFxcXDB79mz06dMHp06dgp2dnYkiFSclJQUfffQR6urqjHIPG8aYPj5hlzHGGGNW\nhQ8bMcYYY8yqcPHCGGOMMavCxQtjjDHGrAoXL4wxxhizKly8MMYYY8yqcPHCGGOMMavCxQtjjDHG\nrAoXL4wxxhizKv8HB5J8otoQu/EAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compare this calculation with Figure 4 of [Gonzalez-Garcia et al.](#CHM) and find them in excellent agreement. Just note that the small kink at $10^2$ is the result of neutrino oscillations and the difference at high energy attenuation amplitud is due to different cross section." ] }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize = (8,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$(d\\phi^{\\rm final}/dE)/(d\\phi^{\\rm final}/dE)$\")\n", "nu_mu_to_nu_mu = nu_mu/Eflux(E_range*nuSQ.units.GeV)\n", "plot(E_range,nu_mu_to_nu_mu, lw = 2, color = 'blue')\n", "title(r\"Muon Neutrino\", fontsize = 25)\n", "text(5.0e4,3.0,r\"$d\\phi/dE \\sim E^{-1}$\", fontsize = 25)\n", "axhline (1.0, color = \"k\", lw = 3)\n", "ylim(1.0e-3,1.0e1)\n", "xlim(1.0e2,2.0e6)\n", "loglog()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 31, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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CjRs3RsOGDfUVk0ljSwYREVUnOu2TYWFhAVtbW/Tr1w+urq4YPnw4+vXrp16f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\nj5eIiIjkxzkZREREpAgmGURERKQIJhlERESkCCYZREREpAgmGURERKQ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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Handeling neutrinos and antineutrinos with tau regeneration###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To include $\\tau$ regeneration we have to work on the multi energy mode and set the neutrino type to \"both\". We can initialize the $\\nu$-SQuIDS object in the following way" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(1.0e2,1.0e8,200,3,\"both\",True,True)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case we need to specify the neutrino and antineutrino initial fluxes. Those have the following format:\n", "\n", "$$InputState \\doteq [[[\\phi^1_e,\\phi^1_\\mu,\\phi^1_\\tau],[\\bar{\\phi}^1_e,\\bar{\\phi}^1_\\mu,\\bar{\\phi}^1_\\tau]],...,[[\\phi^i_e,\\phi^i_\\mu,\\phi^i_\\tau],[\\bar{\\phi}^i_e,\\bar{\\phi}^i_\\mu,\\bar{\\phi}^i_\\tau]],...,[[\\phi^n_e,\\phi^n_\\mu,\\phi^n_\\tau],[\\bar{\\phi}^n_e,\\bar{\\phi}^n_\\mu,\\bar{\\phi}^n_\\tau]]]$$ where i = 1 to n and n is the number of energy nodes and $\\phi$ ($\\bar{\\phi}$) is the neutrino (antineutrino) flux." ] }, { "cell_type": "code", "collapsed": false, "input": [ "N0 = 1.0e18; Power = -1.0\n", "Eflux = lambda E: N0*E**Power\n", "\n", "InitialFlux = zeros((200,2,3))\n", "for i,E in enumerate(nuSQ.GetERange()):\n", " InitialFlux[i][0][0] = 0.0\n", " InitialFlux[i][1][0] = 0.0\n", " InitialFlux[i][0][1] = Eflux(E)\n", " InitialFlux[i][1][1] = Eflux(E)\n", " InitialFlux[i][0][2] = 0.0\n", " InitialFlux[i][1][2] = 0.0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_initial_state(InitialFlux,\"flavor\")\n", "nuSQ.Set_Body(nsq.EarthAtm())\n", "nuSQ.Set_Track(nsq.EarthAtm.Track(np.arccos(-1.0)))\n", "nuSQ.Set(\"rel_error\", 1.0e-6);\n", "nuSQ.Set(\"abs_error\", 1.0e-6);\n", "nuSQ.Set(\"h_max\", 500.0*nuSQ.units.km )\n", "nuSQ.Set_nuSQUIDS(\"taureg\",True)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "%time nuSQ.EvolveState()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "CPU times: user 1min 45s, sys: 140 ms, total: 1min 45s\n", "Wall time: 1min 45s\n" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "nu_mu = np.array([nuSQ.EvalFlavorAtNode(1,ie,0) \n", " for ie in range(200)])\n", "nu_mu_bar = np.array([nuSQ.EvalFlavorAtNode(1,ie,1) \n", " for ie in range(200)])\n", "\n", "E_range = np.array(nuSQ.GetERange())/nuSQ.units.GeV" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize = (6,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"${\\rm E} \\times \\phi_\\nu (E_\\nu)$\")\n", "E_times_nu_mu = np.array([ nu_mu[i] for i,EE in enumerate(E_range*nuSQ.units.GeV)])\n", "E_times_nu_mu_bar = np.array([ nu_mu_bar[i] for i,EE in enumerate(E_range*nuSQ.units.GeV)])\n", "plot(E_range,E_times_nu_mu, lw = 3, color = 'blue')\n", "plot(E_range,E_times_nu_mu_bar, lw = 3, color = 'blue')\n", "#axhline (0.5e-13, color = \"k\", lw = 3)\n", "#ylim(1.0e-15,1.0e-12)\n", "#loglog()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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KSsp8zJ9///vQ0FCEhobWug0RUUuSmJiIxMREo/Wv1+3pFhYWUKlUmDBhAh57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\njW3Tpk1CpVKJLl26iCNHjoj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sPDxc4y5B2RjlpneiZi4lJUVIkiT+9a9/aSy/cOGCKCoq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\nSUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Neutrino Oscillation in a (3+1) model##" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(1.0,100.0,201,4,\"neutrino\",False,False)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_Body(nsq.EarthAtm())\n", "nuSQ.Set_Track(nsq.EarthAtm.Track(np.arccos(-1)))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "N0 = 1.0e18\n", "Eflux = lambda E: N0*E**-2\n", "Einitial = (Eflux(np.array(nuSQ.GetERange())).reshape(201,1))*(np.array([0.,1.,0.,0.]).reshape(1,4))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set_initial_state(Einitial,\"flavor\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set(\"rel_error\", 1.0e-12);\n", "nuSQ.Set(\"abs_error\", 1.0e-12);\n", "#nuSQ.Set(\"h_max\", 50.0*nuSQ.units.km);\n", "nuSQ.Set(\"th12\",0.563942);\n", "nuSQ.Set(\"th13\",0.154085);\n", "nuSQ.Set(\"th23\",0.785398);\n", "nuSQ.Set(\"dm21sq\",7.65e-05);\n", "nuSQ.Set(\"dm31sq\",0.00247);\n", "nuSQ.Set(\"dm41sq\", 3.0);\n", "nuSQ.Set(\"th24\", 0.7);\n", "nuSQ.Set(\"delta1\",0.0);" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.EvolveState()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "e_range = np.logspace(0,2,400)\n", "\n", "nu_e = np.array([nuSQ.EvalFlavor(0,EE*nuSQ.units.GeV,0) \n", " for EE in e_range])\n", "nu_mu = np.array([nuSQ.EvalFlavor(1,EE*nuSQ.units.GeV,0) \n", " for EE in e_range])\n", "nu_tau = np.array([nuSQ.EvalFlavor(2,EE*nuSQ.units.GeV,0) \n", " for EE in e_range])\n", "\n", "total = nu_e + nu_mu + nu_tau" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize = (8,6))\n", "\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"$\\phi_\\nu$\")\n", "\n", "plot(e_range,nu_e, lw = 2, color = 'red', label = r\"$\\nu_e$\")\n", "plot(e_range,nu_mu, lw = 2, color = 'blue', label = r\"$\\nu_\\mu$\")\n", "plot(e_range,nu_tau, lw = 2, color = 'green', label = r\"$\\nu_\\tau$\")\n", "plot(e_range,total, lw = 2, color = 'black', label = r\"Total\")\n", "legend(fancybox = True, fontsize = 14)\n", "semilogx()\n", "loglog()\n", "\n", "savefig(\"sterile_osc_demo.pdf\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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n07VrV3r27Mldd91FnTp1GDJkCLt37yYuLo433niDP/74g+PHj3PixAmOHj3K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\n/hPCOAx570liUk5t27YFID4+vtj9CQkJq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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Python Toolbox#" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have included a set of python functions to extend the C++ $\\nu$-SQuIDS class. We demostrate some of these functions, which assume to be run under the ipython environment, further information can be found in the documentation." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import nuSQUIDSTools" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(\"/Users/carguelles/Workspace/SQuIDS/nuSQuIDS/out_muon.hdf5\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "nu_mu = np.array([ nuSQ.EvalFlavorAtNode(1,ie,0) for ie,EE in enumerate(nuSQ.GetERange())])\n", "nu_mu_bar = np.array([ nuSQ.EvalFlavorAtNode(1,ie,1) for ie,EE in enumerate(nuSQ.GetERange())])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize = (6,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"${\\rm E} \\times \\phi_\\nu (E_\\nu)$\")\n", "e_range = np.array(nuSQ.GetERange())/nuSQ.units.GeV\n", "plot(e_range,(nu_mu+nu_mu_bar)*(e_range*nuSQ.units.GeV)*(0.25*10**-13*10**-18), lw = 3)\n", "axhline (0.5e-13, color = \"k\", lw = 3)\n", "ylim(1.0e-15,1.0e-12)\n", "xlim(1.0e2,1.0e6)\n", "grid()\n", "loglog()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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SERWPV406KPYIiYiso8b3Zokeun38+HHs3LkTJ0+eREJCAu7cuQNZllGlShXUr18frVu3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\nmZMmTZIlSZIjIyPzLV+yZEnu1a/mLF2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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(\"/Users/carguelles/Workspace/SQuIDS/nuSQuIDS/out_tau.hdf5\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.EvalFlavorAtNode(2,0,1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "8664002.665584777" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "plot([ nuSQ.EvalFlavorAtNode(2,ei,1) for ei in range(nuSQ.GetNumE())])\n", "semilogy()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 35, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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gISGBqKgoioqKSrbdsmUL/fv3L3nk5OTg7e0NwKBBg0oa/XXv3p2YmBiWLFli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\nH64OGzas1KNHjx6lEpKq6vfe9PiEpKp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"text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "nu_tau = np.array([ nuSQ.EvalFlavorAtNode(2,ie,0) for ie,EE in enumerate(nuSQ.GetERange())])\n", "nu_tau_bar = np.array([ nuSQ.EvalFlavorAtNode(2,ie,1) for ie,EE in enumerate(nuSQ.GetERange())])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize = (6,6))\n", "xlabel(r\"$E_\\nu [GeV]$\")\n", "ylabel(r\"${\\rm E} \\times \\phi_\\nu (E_\\nu)$\")\n", "e_range = np.array(nuSQ.GetERange())/nuSQ.units.GeV\n", "plot(e_range,(nu_tau+nu_tau_bar)*(e_range*nuSQ.units.GeV)*(0.25*10**-13*10**-18), lw = 3)\n", "axhline (0.5e-13, color = \"k\", lw = 3)\n", "ylim(1.0e-15,1.0e-12)\n", "xlim(1.0e2,1.0e6)\n", "grid()\n", "loglog()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 39, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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HRo8ejcmTJ5tsu3//PsLDw/HFF18Y112+fBkNGzasWLQax0JIROZkZgK9egEF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\nTN5rSxwsQ1QCZ+yDsSfmUyx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"text": [ "" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.PrintStatus(\"/Users/carguelles/Workspace/SQuIDS/nuSQuIDS/link/python/example/tex/test.tex\")" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ.Set(\"th12\",0.563942);\n", "nuSQ.Set(\"th13\",0.154085);\n", "nuSQ.Set(\"th23\",0.785398);\n", "nuSQ.Set(\"dm21sq\",7.65e-05);\n", "nuSQ.Set(\"dm31sq\",0.00247);\n", "nuSQ.Set(\"delta1\",0.0);" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#References#\n", "\n", "- [1] *M.C. Gonzalez-Garcia, F. Halzen, and M. Maltoni*, **Physics Reach of High-Energy and High-Statistics IceCube Atmospheric Neutrino Data**, Phys.Rev. D71 (2005) 093010. http://arxiv.org/abs/hep-ph/0502223\n", "- *C.A. Arg\u00fcelles-Delgado and J. Salvado*, **SQuIDS: A Simple Quantum Integro Differential equation Solve.** On preparation.\n", "- *C.A. Arg\u00fcelles-Delgado and J. Salvado*, **$\\nu$-SQuIDS: A tool box for neutrino oscillation experiments.** On preparation.\n", "- M. Galassi et al, GNU Scientific Library Reference Manual (3rd Ed.), ISBN 0954612078. http://www.gnu.org/software/gsl/" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import nuSQUIDSpy as nsq\n", "import numpy as np\n", "rc('font', family='serif', size=20)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(\"/Users/carguelles/Workspace/SQuIDS/nuSQuIDS/out_example1_muon.hdf5\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "e_range = np.array(nuSQ.GetERange())/nuSQ.units.GeV" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "nu_e = np.array([ nuSQ.EvalFlavorAtNode(0,ie,0) for ie in range(nuSQ.GetNumE())])\n", "nu_mu = np.array([ nuSQ.EvalFlavorAtNode(1,ie,0) for ie in range(nuSQ.GetNumE())])\n", "nu_tau = np.array([ nuSQ.EvalFlavorAtNode(2,ie,0) for ie in range(nuSQ.GetNumE())])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(e_range,nu_e)\n", "semilogx()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 36, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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JSd7NFHkISz1Oka42U+QCYjSnRY/WVqXnl9qBqGeiqwVErNDJyGD3vKrK/hiI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\n5cuX8fe//x0/1ptwQRjy+9//HnPmzMHYjvWQ586di7S0NDz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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(\"/Users/carguelles/Workspace/SQuIDS/git_version/nuSQuIDS/mul_ene_ex4.hdf5\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 84 }, { "cell_type": "code", "collapsed": false, "input": [ "e_range = np.array(nuSQ.GetERange())/nuSQ.units.GeV\n", "nu_e = np.array([ nuSQ.EvalFlavorAtNode(0,ie,0) for ie in range(nuSQ.GetNumE())])\n", "nu_mu = np.array([ nuSQ.EvalFlavorAtNode(1,ie,0) for ie in range(nuSQ.GetNumE())])\n", "nu_tau = np.array([ nuSQ.EvalFlavorAtNode(2,ie,0) for ie in range(nuSQ.GetNumE())])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 85 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(e_range,nu_mu)\n", "plot(e_range,nu_tau)\n", "plot(e_range,nu_e)\n", "loglog()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 86, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Lgsfo4p9/apPL5uQAuhJb5JXn1OwAXVFdgdKqYpTkWuFh7mUkJACVyb1xX1Jr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\noFu78uefrZu4+rvf8e3Of/rJ8LhGwwNcexNoBw4EEhL4Fhf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"text": [ "" ] } ], "prompt_number": 86 }, { "cell_type": "code", "collapsed": false, "input": [ "nuSQ = nsq.nuSQUIDS(\"/Users/carguelles/Workspace/SQuIDS/git_version/nuSQuIDS/mul_ene_ex5.hdf5\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "e_range = np.array(nuSQ.GetERange())/nuSQ.units.GeV\n", "nu_e = np.array([ nuSQ.EvalFlavorAtNode(0,ie,0) for ie in range(nuSQ.GetNumE())])\n", "nu_mu = np.array([ nuSQ.EvalFlavorAtNode(1,ie,0) for ie in range(nuSQ.GetNumE())])\n", "nu_tau = np.array([ nuSQ.EvalFlavorAtNode(2,ie,0) for ie in range(nuSQ.GetNumE())])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "ax = plt.gca()\n", "#ax.set_xticks(np.array([10,20,30,40,50,100]))\n", "#ax.set_xlim(10,100)\n", "ax.semilogx(e_range,nu_mu)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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D6T6O7HUchNN3icjWGJRANBoNZs2aheDgYHh4eCAyMhILFixAdXW1yQ0fO3YM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\nXL9+Hfn5+WjdunV9WU1NDTp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