{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Koty Schroedingera\n", "=====================\n", "\n", "Plan\n", "----\n", "\n", "1. Paradoks kota Schroedingera\n", "2. Koty Schroedingera w optyce kwantowej\n", "3. W\u0142asnosci kot\u00f3w\n", "4. Wizualizacja parzystych kot\u00f3w Schroedingera: Funkcje Wignera i Husimiego\n", "5. Wizualizacja nieparzystych kot\u00f3w Schroedingera: Funkcje Wignera i Husimiego\n", "6. Zadania" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kazus kota Schroedingera jest bodaj najbardziej znanym 'paradoksem' kwantowym. Przypomnijmy, \u017ce sam Schroedinger, b\u0119d\u0105c sceptycznie nastawionym do nowopowsta\u0142ej mechaniki kwantowej, pragn\u0105\u0142 by\u0142 wskaza\u0107 na niedorzeczno\u015b\u0107 wnioskowania kwantowego zastosowanego do makro\u015bwiata. W jego przyk\u0142adzie rol\u0119 wiod\u0105c\u0105 odgrywa\u0142 by\u0142 kot, kt\u00f3rego \u017cycie lub \u015bmier\u0107 zale\u017ca\u0142a od wyniku pewnego pomiaru kwantowego. Jak ju\u017c w\u00f3wczas wiedziano pomiar wp\u0142ywa na stan mierzonego uk\u0142adu, rzutuj\u0105c go do jednego z kilku mo\u017cliwych wynik\u00f3w (pomiar rzutowy - wersja uproszczona). W chwilach poprzedzaj\u0105cych pomiar uk\u0142ad kwantowy jest superpozycj\u0105 mo\u017cliwo\u015bci, kt\u00f3rych realizacja zale\u017cy od wyniku przysz\u0142ego pomiaru. Schroedinger zauwa\u017cy\u0142, \u017ce w opisywanym przeze\u0144 _gedanken eksperiment_ rzeczony kot jest r\u00f3wnie\u017c suppozycj\u0105, w tym przypadku kota \u017cywego i zdech\u0142ego. Realizacja tych mo\u017cliwo\u015bci powi\u0105zana by\u0142a z wynikiem eksperymentu. \n", "\n", "W dzisiejszych czasach pod poj\u0119ciem __kota Schroedingera__ rozumie si\u0119 stany uk\u0142ad\u00f3w optycznych, kt\u00f3re mo\u017cna przedstawi\u0107 jako superpozycje stan\u00f3w koherentnych:\n", "\n", "$ |SC\\rangle =N^{-1}(z)(|z\\rangle\\pm |-z\\rangle) $\n", "\n", "Stany te s\u0105 podobne do kot\u00f3w, o kt\u00f3rych my\u015bla\u0142 Schroedinger, gdy\u017c stany koherentne $ |z\\range $ s\u0105, dla dostacznie du\u017cych $ |z|$ makroskopowo odr\u00f3\u017cnialne. \n", "\n", "Koty\n", "\n", "$ |SC\\rangle =N^{-1}(z)(|z\\rangle + |-z\\rangle) $ \n", "\n", "nazywamy parzystymi, za\u015b\n", "\n", "$ |SC\\rangle =N^{-1}(z)(|z\\rangle - |-z\\rangle) $\n", "\n", "nieparzystymi. R\u00f3\u017cnice pomi\u0119dzy nimi b\u0119d\u0105 nas bardzo interesowa\u0142y.\n", "\n", "Rozpocznijmy od pobrania niezb\u0119dnych narz\u0119dzi:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip import *\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib import *\n", "from pylab import *\n", "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING: pylab import has clobbered these variables: ['power', 'linalg', 'draw_if_interactive', 'random', 'save', 'load', 'info', 'fft']\n", "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Okre\u015blmy teraz wymiar obci\u0119tej przestrzeni Hilberta $dim(H) = N$: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=10" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oraz wybierzmy $z$:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "z=3" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jeste\u015bmy gotowi skonstruowa\u0107 koty. Funkcja unit() zapewnia ich normalizacj\u0119" ] }, { "cell_type": "code", "collapsed": false, "input": [ "kot_p=(coherent(N,z)+coherent(N,-z)).unit()\n", "kot_np=(coherent(N,z)-coherent(N,-z)).unit()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Otrzymujemy wi\u0119c nast\u0119puj\u0105ce macierze g\u0119sto\u015bci:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho_p=ket2dm(kot_p)\n", "rho_np=ket2dm(kot_np)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "U\u017cytecznym narz\u0119dziem w badaniu w\u0142asno\u015bci stan\u00f3w kwantowych s\u0105 funkcje (kwazi)prawodopodobie\u0144stwa. \n", "Tutaj wykorzystamy dwie z nich: funkcj\u0119 Wignera i Husimiego. \n", "\n", "Funcja Wignera jest jedn\u0105 z najcz\u0119\u015bciej wykorzystywanych funkcji w optyce kwantowej. Tutaj zdefiniujemy j\u0105 jedynie dla stan\u00f3w czystych $|\\psi\\rangle$ poprzez jedn\u0105 z jej w\u0142\u0105sno\u015bci, kt\u00f3re mo\u017cna otrzyma\u0107 z og\u00f3lnej definicji:\n", "\n", "$ W(\\alpha)=\\frac{2}{\\pi}\\sum_{n=0}^\\infty \\langle \\psi|D(\\alpha)|n\\rangle\\langle n|D^\\dagger(\\alpha)|\\psi\\rangle $\n", "\n", "gdzie operator przesuni\u0119cia $ D $dany jest wzorem:\n", "\n", "$ D(\\alpha) = \\exp(\\alpha a^\\dagger -\\alpha^* a )$\n", "\n", "Podstawow\u0105 cech\u0105 funkcji Wignera, kt\u00f3r\u0105 wykorzystamy jest to, \u017ce przyjmuje ona warto\u015bci ujemne dla stan\u00f3w, kt\u00f3re nale\u017c\u0105 do grupy \"nieklasycznych\". Cecg tej nie posiada funkcja Husimiego: \n", "\n", "$ Q(z) = \\langle z|\\rho | z\\rangle /\\pi $\n", "\n", "ma ona jednak jasn\u0105 interpretacj\u0105 probabilistyczn\u0105 i opisuje prawdopodobie\u0144stwo, \u017ce dany stan $\\rho$ jest stanem koherentnym o danym $z$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Poni\u017cej, wykorzystuj\u0105c funkcj\u0119 QuTipa wigner() wygenerowali\u015bmy funkcj\u0119 Wignera dla stanu $\\rho$, a nast\u0119pnie j\u0105 nakre\u015blili\u015bmy " ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho=rho_p\n", "xvec = linspace(-5,5,200)\n", "X, Y = meshgrid(xvec, xvec)\n", "W = wigner(rho, xvec, xvec)\n", "fig = figure()\n", "ax = Axes3D(fig, azim=-62, elev=25)\n", "ax.plot_surface(X, Y, W, rstride=2, cstride=2, cmap=cm.jet, lw=.1)\n", "ax.set_xlim3d(-6, 6)\n", "ax.set_ylim3d(-6, 6)\n", "ax.set_zlim3d(0, 0.4)\n", "title('Funkcja Wignera')\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WBzTd+85NISm1L/v6nSRJbavv6SZOa0DXdasTBZSONqwUVOEH3cw+7MIo7gH7Gl85j0K1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ZMbAkZaxttwyesqqAJiV8MZR8hFnVJZwVE9oqdDpKqJdp9OuhMjhwJunlGpmow3OniEk9Jhd0z7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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Na szczeg\u00f3ln\u0105 uwag\u0119 zas\u0142uguje obszar, gdzie funkcja Wignera jest ujemna. Istnienia takich obszar\u00f3w oznacza, \u017ce koty Schroedingera s\u0105 stanami nieklasycznymi w rozumieniu optyki kwantowej. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "W przypadku nieujemnej funkcji Husimiego nie mo\u017cemy m\u00f3wi\u0107 o detekcji nieklasyczno\u015b\u0107. Poni\u017cej nakre\u015blona jest funkcja Husimiego dla stanu $\\rho$ przy u\u017cyciu funkcji qfunc(). " ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho=rho_p\n", "Q = qfunc(rho, xvec, xvec)\n", "fig = figure()\n", "ax = Axes3D(fig, azim=-62, elev=25)\n", "ax.plot_surface(X, Y, Q, rstride=2, cstride=2, cmap=cm.jet, lw=.1)\n", "ax.set_xlim3d(-6, 6)\n", "ax.set_ylim3d(-6, 6)\n", "#ax.set_zlim3d(0, 0.4)\n", "title('Funkcja Q')\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Odx9VLggWajrQwpLxMwQ/OtPvTVe5aqtHmL+fiDo8PIzjOKiqSjKZJBwON+TqzXVdMpkM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\nqnJuBHI6HFQVmuMQ0yGjgSo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Stycq+lseYOEHXnieN29BFvW8jzzPoyVUoCmugXAI45EO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\n6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Sc/hj97AvOVFwnEBay9Op6VjmXooojwIAZAPeyhKi6ym4IPnUe7dg3VkJBIol1vohIj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\n", "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Na podstawie wykresu funkcji Husimiego mo\u017cemy przekona\u0107 si\u0119, \u017ce istotnie koty Schroedingera s\u0105 zbudowane z dwu stan\u00f3w klasycznych, makroskopowo rozr\u00f3\u017cnialnych, kt\u00f3rych obecno\u015b\u0107 wskazuj\u0105 maksima funkcji $Q$ " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ostani\u0105 zagadk\u0105, kt\u00f3r\u0105 przyjdzie nam rozwik\u0142\u0105\u0107 jest podzia\u0142 kot\u00f3w na przyste i nieparzyste. W tym celu przeanalizujmy prawdopodobie\u0144stwa obsadzenia stan\u00f3w $|n\\rangle$ o ustalonej liczbie foton\u00f3w \n", "\n", "$a^\\dagger a |n\\rangle=n|n\\rangle $\n", "\n", "czyli \n", "\n", "$P_n=|\\langle n|\\psi\\rangle|$\n", "\n", "U\u017cyjemy funkcji fock_distribution():\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho=rho_p\n", "fock_distribution(rho)#, fig=None, ax=None, figsize=(8, 6), title=None)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zauwa\u017cmy, \u017ce w przypadku kot\u00f3w parzystych niezerowe jest tylko przwdopodobie\u0144stwo obsadzenia stan\u00f3w o parzstym $n$. Inaczej jest w przypadku nieparzystych kot\u00f3\u0142 Schroedingera: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "rho=rho_np\n", "fock_distribution(rho)#, fig=None, ax=None, figsize=(8, 6), title=None)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zadania\n", "-------\n", "1. Udowodni\u0107, \u017ce liczba foton\u00f3w dla parzystych kot\u00f3w Schroedingera nie mo\u017ce by\u0107 nieparzysta\n", "2. Udowodni\u0107, \u017ce liczba foton\u00f3w dla nieparzystych kot\u00f3w Schroedingera nie mo\u017ce by\u0107 parzysta\n", "3. Wykre\u015bli\u0107 tr\u00f3jwymiarow\u0105 funkcj\u0119 Wignera i funkcj\u0119 Husimiego dla wybranych nieparzystych kot\u00f3w. \n", "4. Obliczy\u0107 czynnik normuj\u0105cy $N(z)$ wyst\u0119puj\u0105cy w definicji kot\u00f3w Schroedingera" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 } ], "metadata": {} } ] }