diff --git a/doc/source/examples/03IQModulatedGauss.ipynb b/doc/source/examples/03IQModulatedGauss.ipynb new file mode 100644 index 00000000..444f3cf5 --- /dev/null +++ b/doc/source/examples/03IQModulatedGauss.ipynb @@ -0,0 +1,238 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from qupulse.pulses import *\n", + "from qupulse.pulses.plotting import plot\n", + "import numpy as np\n", + "import sympy as sp\n", + "\n", + "gauss = FunctionPT('ampl * exp(-((t - t_gauss/2) / tau)**2)', 't_gauss', 'C')\n", + "\n", + "gauss_iq = AtomicMultiChannelPT(\n", + " gauss.with_mapping(channel_mapping={'C': 'I'}) * 'cos(omega * t + phi)',\n", + " gauss.with_mapping(channel_mapping={'C': 'Q'}) * 'sin(omega * t + phi)',\n", + ")\n" + ] + }, + { + "cell_type": "markdown", + "source": [], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 2, + "outputs": [ + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "parameters = {\n", + " 'ampl': 1.,\n", + " 'tau': 30.,\n", + " 't_gauss': 200,\n", + " 'omega': .2,\n", + " 'phi': 0.\n", + "}\n", + "\n", + "_ = plot(gauss_iq, parameters=parameters, stepped=False)" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "markdown", + "source": [ + "Often one wants a single channel\n", + "\n", + "Area theorem:\n", + "\n", + "$$H(t) = cos(\\omega t + \\phi) E(t) \\sigma_x$$\n", + "$$A(t) = \\alpha \\int_{0}^{t}{\\text{d}t'E(t')}$$\n", + "$$\\Psi (A) = \\sqrt{1 - P(A)} g + e^{-i \\phi}\\sqrt{P(A)} e$$\n", + "$$P(A) = \\sin^2 (A / 2)$$\n" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 3, + "outputs": [ + { + "data": { + "text/plain": "
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\n" 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t9wMopX4FXAm8bh6gte4EOpVSbyvOFIWZTPuAcYPKZmk0Bg0xae2PsNnGcc0Mb6vuKcDWFVT96bIkUwXC/T43JR7X6PFO8a2HdvKjJ/YDcMn6hdz0gU2OjicUl2KKRiNweNz7FuD0Is1FmIWYK6OyWxr+o46zC1MAiuWeMnt5WFm9FQx4HescCEaJ9t+91Mq5a+tprg5w+/OHODIQZWFVZiEXZj/FjGlkykrKO2KplPqYUupFpdSLXV1dBUxLmC20D0SoLPVQliUruqzEQzDgpbV/2NZxTQGwZmmkRcPG+lPm+FO5pwCqAz5HCiaaPP9GL92DMa7a1MRH37yClNbc8fwhx8YTik8xRaMFaB73vgloy/eHaa1v1lpv1lpvrq+vL3hywsynrT86ak1kY2FlKUcG7A0Em+4pa0tu0+4pOy2NHETDaUvj/u3tlHpdnL9uAUtqA5yzpp47nj9EPJlybEyhuBRTNF4AViulliulfMD7gHuKOB9hltE+EGHRFG6QuvISeofsFY0x99TUN22zNpS9MQ3jZ021egqMuEd/xBlLI5nSPPDqEc5bu4CAz/g9r9rURGc4xmttIUfGFIpP0URDa50APgk8BOwA/kdr/ZpS6uNKqY8DKKUWKqVagH8E/pdSqkUpVVmsOQszi/aBKIumsDRqy322d84bc09NbWl43EZRQTtXTw2YlsYUgXCA6jIvfQ5ZGjvaQ3QPxrh4/cLRbacuqwFg66E+R8YUik8xA+Fore8H7p+w7aZxr49guK0E4Sii8SS9QyMsnsLScKI8eGjUPTX1k75xnL31p/ojI/g8Lkq9Uz/zVfl9DAzH0VpPWtwwH3YeCQNwQlPV6LaGylIWV5Wy9VA/Hz7b1uGEGYJkhAuzkqlyNExqy322F+0LRePpm7bb0vGVfnvrTw0MG4l9VkSgOuBlJJlieMT+ooW7joTweVwsnVDG5eQlQbYeFktjriKiIcxK2tNJZIuy5GiYOFG0Lxy1VnfKpLLU3p4aA5GpS4iYVKcT/JxYQbWrY5DVC8rxuI++jWxsruZwb2S0j7kwtxDREGYlbWlLY/FUlkaZWX/JvptmKGKtl4ZJpd/emEb/cNzSyilgtKihEyuodh0Jsbah4pjtG5cEAXj5cL/tYwrFR0RDmJWY9aQaKqewNNL1l3psXEEVsthLw8RuS8OoOzV1EBzGLA27RaN/eISOUIy1C48VjQ2NVXhcSoLhcxQRDWFW0hWOUVHqwe+bPK5QW2a6p+yzNKy2ejWxO6YRslCs0KQ6bWnY7Z7alQ6Cr8kgGqVeN8ctquSVlgFbxxRmBlM+LimlNgNvBhYDEeBV4BGtda/DcxOErHSGo9SnrYjJqHUgphGKxKd0i42nstQz2lPD5Sp8BVP/8Eju7imbG0Ht7jBEY10G0QBY01DBX/ZKZYa5SFZLQyl1rVJqC/CvgB/YBXQCbwL+qJS6VSm1ZHqmKQhH0xWOscCCaAR8HgI+t70xjVzdU36vbT014skUQyNJy4FwM5ej3+ZclZ1HwlSUeliYxT24uqGcjlBsNKdEmDtMduWXAWdrrTPWOlZKnQysBqTQjDDtdIZjnNQUtHRsbbnP1kZEObunSseKFuYSQM+EeROeqmufic/joszntt3S2NM5yNqGiqzLflcvKAdgb2eYTUtrbB1bKC5ZLQ2t9Q+yCUZ6/8ta60edmZYgZEdrTWcoZsk9BekEP5uetGOJJNF4Kqclt6ZVMhgr3NLIpYSISdCBooUtvcMsqc3cZhdg9QLDbbWnY9DWcYXik1cgXCn1drsnIsx+Xmsb4B/u2MrVP36W+17Ju/bklAyNJInEk5bcU2DkatgVCM+ll4ZJeVo0wjZUuh1I15HKRTSqy+wtWhhPpjgSitI0SQmXxmo/pV4XezpFNOYa+a6eOtXWWQiznlgiySdv38qfdnWyr2uQL9y53bHe1J3p5bZWLY268hLb5jJa4dZCLw0Ts2jhoA2iYeZ75OIeC/p9tjZiOjIQJaWhqTq7peF2KVbWl4tozEHyEg2t9Zftnogwu/nxk/t5o3uI/7r6FG677nSGR5J8+8FdjozVmc40XlBhrdGPWbQwlcq7Xcsoo8UKS6zftE2rJGyDe2q0wm4Olo7d5dEP9xn9SRqrJ19Btqahgr3pVVbC3MHKktsPZtqutf6F/dMRZiM9gzH+6/G9XHbCQt6yxuhl8pE3LefmJ/fzt+esYEV9ua3jmeUpFlRaj2kkU5qBSJzqMmtJcdkYszRyEQ3TPVX4jTuXXh4mwYDX1phGa58R6myaQjRWLSjnrq2thKPxnNx5wszGiqVx6rivNwNfAa5wcE7CLOMP29uJxlP8wwWrR7d96KxlADyyo8P28UxLo77comikczXsyArPpdWryWgg3A73VNR610CT6oCPgUjcFksLoKUvglJTF4s0V1Dt6xqyZVxhZjClaGitPzXu66PARqCwxzVhTnHvtjbWNJSzbuFYq5PGoJ+1DRU8vtP+BK/OcBSf22U5wa0uLS52BMNzafVq4ve6cSl7Vk+Fowm8bmWpLLpJMOAjpe0JxAO09kdoqCjF55l8DitHl91KXGMukU9MYxgjP0MQaO2P8MKBPq44afEx+85bt4AXDvTaWncJDPdUfUWJ5f4QwdGifYWLRj7uIaUU5SUeW27apqsnl94YZiKgXR38WvqGp4xnADRXB3ApONAtlsZcYkrRUErdq5S6J/11H0Zm+O+dn5owG7hvm7G09vJMorG2nkRK89SeblvH7ArHRgsRWiFoY9G+UDSOS0GZL7f+ZRWlXptEI7dsdDCW3AK2dfBr6YtMGc8AI7GwuSbAGz0iGnMJK1ffd8e9TgAHtdYtDs1HmGU8/HoHJzRWsbS27Jh9m5ZWU1Hq4bGdnVx6wiLbxuwMxSZNLJvIWNE+G0QjEqe8xJNzDamKUo8tgfB8ssrNirh2BMMTyRRHBqKWRANgWW2ZWBpzjClFQ2v9xHRMRJh9DMUSbDvcz0ffsiLjfo/bxZkrannhgL21LbsGY2xaVm35eL/Xjc/jss09lcvKKZPyEo9tMY2cLY20aA7YIJod4RiJlKYxaE20l9eV8eKBXkfazQrFId+M8Jvtnogw+3jhQC+JlOaslbVZjzmxqYoDPcO2xTVGEil6h0YsZ4ODEVMI+u3JVQjluXy0orSYomGfpWF1ua3JstoAQyNJuhxK9BSmn3wzwn9k6yyEWckz+3vwuhWbJylIt6GxCoBXW+3prWCWOLea2GdSbVP9pVAkt1avJuU2xTTyEa1Kvxel7HHPtfYbiX2LJykhMp5ldYbb8g1ZdjtnyDcj/CW7JyLMPp7Z18PG5upJGyGdYLNomIl9VkuImAQDXlsqvYZyrHBrYt/qqUTOMQ23S1FZ6mXABtHsCBnnf2GVNdFeUWcsuz3gUDA8nkzxzQd28lc/eoYv3LWdgxJ0dxwrq6fqlVLfVUrdr5R6zPyajskJM5eBSJxXWwc4YxLXFEBteQmLq0rZ3hqyZdyxEiJ5iIZNMY1c3UNgLNEdjBUmWsmUZjCW3/jVAa8tlkZnKEbA5x6tpzUVi4OleN2KN7qHCx57IuFonPf/5DluemIfQyMJ7t7ayntuekbyQhzGiqVxG7ADWA58FTgAvODgnIRZwPNv9JLSTBrPMNnQWGWbpdEZNooVWi0hYmK4p2yyNPKIaZSXeIjGU8STqbzHHhytsJu7aFQFfLZYWp3haE6C7XEby26dWEH1/Uf38MKBXv7zr07mvk+9mbv+7mxSWnP1j5+1tUCjcDRWRKNWa/1TIK61fkJr/RHgDIfnJcxwntnXQ4nHxcYlwSmPPaGxije6h2xZcmq6p2rLcrU0fAwMx9E6/1IaqfSTfl7uKRtKiYyVMMl9/GqbLK3OcCzneNLy2jLb3VOHe4e59emDXHVKE+/Y2AjA2oUV/PzDp9EzNMK3Htxp63jCGFZEw/xPb1dKvU0ptRFocnBOwizgmf09bFpaTYknezzDZEOTEdd4ra1wF1VnOEZNmW/KEhYTCQa8jCRTDI8k8x47HEugdW7Z4CZm8LqQFVT5ZKObBP32FC3sCseoz9HKW1ZXxhvdQ7bVvgL4zkO7cLngny5ae9T2DY1V/M2blnPH84dtX+otGFj5z/sPpVQV8E/APwM/AT7j6KyEGU3v0Ag72kOWXFMA6xcbNal2thcuGl3hmOVCheMZS/DL/8YZzqMsuYkZAyhk6XE4j2KFJsGAz5Ylx52h3NxTYORqxBJG4yY76ArH+MP2dj5wxtKMAfnr37qaxVWlfP3+HQVZlkJmrBQsvE9rPaC1flVrfZ7WepPW+p7pmJwwM3lufw8AZ1oUjfryEipLPeztKjxA2RmO5RzPgLGs6EJunGYDpHwD4VCoe8q0NPJxT/kIRxMkCompxBIMjSRzd0+ll93aFde4d1sbyZTmPZubM+4P+Dx84rxVbD3Uz1N7e2wZUxgjq2gopf6XUirrAnyl1PnS9nVmMZJI8fS+bn79wiEe39nJSCL/G8RkPL2vh4DPzYlNQUvHK6VYtaDcllUtXaFozsttYczSKEg0CogplNvQJ3zM0sjDPWX+/gUEw82OiQ15uKcA22pQ3bW1lQ2NlaxpqMh6zHs2NdFQWcKNj+2xZUxhjMmuvu3AvUqpKLAF6AJKMSrcngw8Anzd6QkKU6O15s4trXzvj7tp7Y+Mbq/ye/nGu07gMhvrPoERzzh1WQ1et/W4wqoF5Ty2s7OgcbXWdA3G8hONdPOlQiq9hgt40jfdU4XkaoQLWD0VHCeadXm49yD3jokmiypLKfG4bLE09naG2d46wP9++/GTHlfqdfO3b1nJv933Os+/0ctpy7MnoAq5kfW/Xmv9e6312cDHgdcANxACfgmcprX+jNba/mYJQk6kUpr/+MMO/uk326gr93HTNZv487+cxy3XbmZ5XRl/d9sWbnpin23jdYai7O0ctOyaMlm1oJzuwZGCVvD0D8eJJ3XONy0YKw9eyLLbsV4a+QfCC2n5mk8vD5OxSr/5n//OHDsmmrhciqW1Ad6wQTTu3daOS5GxFP9E/vq0JdSV+8TasBkrBQv3AHLWZyAjiRT//Jtt3LOtjQ+fvYz//bbjR6uvNtcEOGtlHZ/97St884GdrKgr46L1Cwse85l0PMNqENxk1biGPJuX5ffUl29iH4y7aQ7lf9MsxD1lR8vXcCxBqdeV88oxsMc9Z7qn8jn/y+vKbHFP/mlXJyc3By1Zm36fm4++eQXfeGAnWw/1sXGJ9SKXQnbyrT0lFJnBWIKP/PwF7tnWxucuWceX3n78MeW6S71uvvueEzmxqYp//s02DvcWnpX77P4eKko9rF9cldPnVtUb/udCbhz5lhABo7dDmc9dkE+/EPdQiceFx6UKCoQX0mvbjqKFXeEYPo+LqjxEc1ldGYd7IyQLWHbbMxjjldYBzl27wPJn3n/GUoIBLzc+tjfvcbPRGYpy99ZWfvD4Xr7/6B5ue+4gLx/uLyiBczaQ+9VvI0qpS4AbMFxfP9Faf3PCfpXefxlGx8BrtdZbpn2iM4yucIwP//x5drSH+e57TuKqTdnTZko8bn5w9SlcesOf+fI9r3HLtacWNPbT+3o4fXkt7hz7STRW+ynxuAoSjdFs8DxEAwxro5CbZigSx+915xTLMVFKFVzpNhTJr4QIQJUdlkZ6uXM+Jc6X15YxkkzR1h+hucZ6L5TxPLmnC63h3LX1lj9TXuLhujct57sP7+bV1oHRApqF8GrrAN9+aBd/Ts9nIlV+L287cRHv2tjIpqXVc64kfNFEQynlBn4AXAi0AC8ope7RWr8+7rBLMQLvq4HTgR+mvxcdrTU9QyO09kVo7Y+Mfj8yEGU4biSQ+b0uGipLWVpbxklNVZzQVGUpGW4yDvYM8cFbnqczFOMnH9zMeeumfupqrgnwqfNX8Y0HdvLE7i7OWWP9n248rf0RDvYM88Ezl+X8WbdLsaK+vKBlt50FWBpg1p8qzNKo9Of/L1NeWljRwnxLmABUlHhwu1RBCwE6w9G8ljvDuBVU3UN5i8afdnVRV+5jQ45W7gfPWsbNT+7nhkf38OMPbs5rbIBYIsk37t/Jrc8coCbg41Pnr+bi9Q2sqCvH41Z0hmNsPdTHI693cNeWVm5/7hBLagK8+5Qm3r2pkabq/H7vqUimNApybgyWL1P+Byil1mDcrBu01huUUicCV2it/6PAsU8D9mqt96fH+RVwJTBeNK4EfqGNDJ1nlVJBpdQirXV7PgMe6hnmGw/swOdxUeJxUeJxZ37tdeFzG77jWDxFOJZgMJqgIxyltS9CS98wrf0RovGjzdDyEg+LqkoJpFfKHBlI8My+ntH19RUlHt56fAOXbljIW9bUU+rNTUBeOtjH3/6/F0mmNLd/9PScfLTXnr2M258/xL/f9zpnf/rNePJ4Wn5mXzo/Y0Vu8QyTVQvK2XqoL6/PgmFh+b3Wi+VNpNCihfn20jApLymsPHq+xRJhrKdIIQsBOkMxVtQf26HRCsvHicZb8nhoSaY0T+7u4ry1C3K+OVaWevnIm5bzn4/sydva6ArHuO4XL7LtcD/XnrWMf7xozTEC3hj00xj08/YTFzMYS/DQq0f43ZYW/u8ju/nPR3dz1spaLlm/kDevrmdpbWBSCySZ0nSFY7T2R2jrj4x+N15HaR+IEBlJEk+mMD1+5j2rxGN89/vcBHxuAl7P6OsvXX48i6qslbXPhpUr8MfAZ0n30NBav6KUuh0oVDQagcPj3rdwrBWR6ZhG4BjRUEp9DPgYwJIlSzIOOBxPsK9rkFgixUgiRSyRIhZPMpJMEU9O7WutDnhpqg6wekEF565dQGPQT1O1n8ZqP03BAJV+T8YLoTMcZcvBfh7d0cEfd3Rw19ZWKko9XH7SYq7a1MTG5uCkF1AimeJnTx3gWw/uZHHQz88+fCor68unnO94SjxuPn/JOj5x2xbufaWNd27MvRLMn/d0UVvmY93C7OvjJ2NlfRn3vdJGNJ7MWTBhLLEvX3M/GPDR3p9/VrrxpJ+/pVFRYKXbcDROo8U+FpkoVDQ7QtGcV82ZLKgoobzEw/48Lc0d7SH6huO8eU1dXp//8NnL+fnTB/j6/Tu47brTc7qGWvsjXPOT5zgyEOWma07hkg1TL2EvL/Hw7k1NvHtTE4d7h/ndlhbu3trK//79a4BxL1leV8bCqlL8Xg/xZIqBSJxQNE73YIwjA9Fj7kmVpR4Wp+85m5YGKSvx4HO78LhcpLRmJJkiFk8xkkwSjaeIxJNERpIMjyToGx6htT9ZUEzJxMp/QEBr/fyEk1x4YwDI9Feb+BtZOcbYqPXNwM0AmzdvznjMuoWVPPyZczJOJpnSjIyKSdIQlESKUq+LihIvZSXuvJ7OwVjXfsmGhVyyYSHxZIpn9vVw99ZW7tzSwu3PHWJFXRnv3tTERcc3sLK+fPRJKhyN88fXO7jpiX3s7hjkwuMb+O57TsorEAlw8fqFrFtYwX89tpcrTmrMKS5hPumdm8eTnsnyujK0hkO9w5MmZmWjYyBKQ2Xuy21NqgvsqRGOJqhJ53vkQ0WJp6BSGqEC3WPVBZQSicaThKKJvONJSilW1pfl7Z587g2jjtQZeVq5VX4vn3nrGr58z2s8/HoHF1tcSbi/a5BrfvIc4ViCX153GpsmaTiWjeaaANe/dQ2fvmA1+7uHeG5/L6+09HOwZ5hdR8JE4ym8bkWV30ul30tzdYDGE/2jlsvioJ/FwdKCrFw7sXIFdiulVpK+WSulriLDk34etADj6wA0AW15HGMLbpfC73OnGwo598fxul28ZU09b1lTz1evXM8D24/w2y0tfOehXXznoV2Ul3ioK/cxkq7Vk9LGzfamazZx8fqGgoJqLpfik+ev4pO3b+WBV9t5+4lTr3U32d46QN9wPKcg5ESW1Y65KPISjXDUchZ6JoJ+H/3DI6RSOi/hC0XiLK3Nzz0DRkxjsKs4q6fAsDRa+/MTra48E/vGs3JBOU/t7c7rs8/u72FpbaAg18r7T1/CL589yH/84XXOXlU3pZvz9bYQH7zlObSGX33sjJxXDE7EEM5yVtaXc/Xpmb0hswErovH3GE/w65RSrcAbwDU2jP0CsFoptRxoBd4HXD3hmHuAT6bjHacDA/nGM2YiFaVe3ntqM+89tZnDvcM8s7+H19tC9AyN4HUrmqoDnLOmno3NQduCXJduWMTK+t3c+OheLtuwyPLP/dOuTpSCN68uQDQKqEGktaYjFKUhzyddMG6aKW1YDOZqolwIRfNr9WpSUerJe8ntSCJFNJ6iIs94DhjuudfzrDRsrlzLtcLteFYtKOfOLa05B/RTKc3zb/RySYF5Rh63i6+98wTed/MzfOHO7dzwvpOzPoS9dLCPD//secpKPPzyutNzdgfPZawk9+0H3qqUKgNcWuuwHQNrrRNKqU8CD2Esub1Fa/2aUurj6f03AfdjLLfdi7Hk9sN2jD0Taa4J5L2qJBfcaWvjM7/exsOvd3DJBmv/iH/a1cVJTcGC3DNVfi+1Zb68MoND0QTReKpA99RYKZFcRUNrTTjPVq8mhQTCC6k7ZVJI977OUP6JlSar0jfefZ2DOS3i2HEkxEAkzhkrCy8FctryGv7porV856FdrFtUwSfOWXmMcNy5pYUv3LWdhZWl/PK60x1b9TRbsbJ66h8nvAcYAF7SWr9cyOBa6/sxhGH8tpvGvdYYlo5gI5efuJgbHtnDjY/tseTy6grH2NbSz6cvWF3w2GZvhVwZLZZnsTd1JoKj5dHjLM3RNW503dMF3bQrSj1GsDKRzHnp9WjdqwJEKxjwEYkn81qIkG/dqfGMrwqQi2g8t9+IZ5y+PL94xkQ+cc5KXm8P8e0Hd3Gwe5hPXbCKxVV+dneGufHRvfxheztnrKjhv64+Je86XXMZK/8Bm9Nf96bfvw3DtfRxpdRvtNbfdmpygjN43C7+7rxV/MtvX+HxXZ2cv65h0uPv3daG1vA2GwofLqst4y97cy9Z1pF+0i3MPZV/VnSogF4aJhXjyqOXlOcnGoXGNMDo7567aERxuxS1BViaS2oC+NyunIPhz+7vYUlNgMUFrBwbj8uluPF9G1laE+C//7SPX794GJ/HxUgiRcDn5tMXrOZT56/Ke+HLXMeKaNQCp2itBwGUUl8Gfgu8BXgJENGYhbxzYyPff3QPNzy6l/PWLpjU2jBLUa/OI3g9keV1AX63JcbwSIKAz/pTe8doWe7CLY2BPFw0driHxle6rc3xCTZkw/hB/5ho5noeO0JGNnghsTWP28WyugD7cqgKkEppnnujl4vXT/5gkysul+JfLlnH+05dwv2vttM3NEJzTYDLTlhUkAt2PmBFSpcA4x/N4sBSrXUEiDkyK8FxvG4Xnzh3JdsO9/PnPdlXtOzpMEpR55PXkYmxYHhudbA6zBIiBQRiC6m/NBAp3D1USMvXQroGmox2LxzKXTTzbX41kVz7quw8EmYgErfNNTWRJbUBPn7OSv71suO45oylIhgWsCIat2NkY385bWU8BdyRDoy/PvlHhZnMVZuaWFRVyv99ZHfW/s2/29KK26UslaK2wvjM4FzoDMWoKPXkZJ1MpKqA8uh23LQLafkaKqBYoonpnhvIo5RIPm1eM7GqvpxDvcNE49Z6tT/3hlGF4PQV0g9jpmCl3eu/Y2Ra92MEwD+utf43rfWQ1vr9Ds9PcJASj5vPXLiGrYf6+c1Lh4/Z3z0Y45fPHuTC4xryrvc0ETNX40COXdyODERZWIBrCoyVY5WlHgbyimmYDZgKC4RDfi1fC2kAZTJ+IUCudIVj1BcQBDdZu7CSlIY9HdasjWf399Bc45cVTDMIS5EerfWLwB3AnUCnUmr2ZqYIR/GeTU2ctryGr9+/k+7Bo72NNzyyh0g8yWcvWWvbeGUlHhZUlORsaXSEC8sGN6ku8+V10zQbIBXmnsq/5as5fnlBS27zc8/Fkyl6hkZssTROSNd92t46MOWxZjzDKdeUkB9TioZS6gql1B6MpL4n0t8fcHpiwvSglOLr79xAZCTJR37+wmhtoqf3dnP784d4/+lLbE9sWlZXlnOCX2fIHp96MODLq5SIHU/6hbR8DUcTlKcr1eaL2cAp14UA5sOEHee/ucZPZanHkmjs6gjTPxzPu3SI4AxWLI1/B84AdmutlwNvxYhrCHOEVQsq+OE1p7CzPcyVP3iKf7hjKx+45XmW1Ro1c+xmRV1ZTu6pVErTaZOlEfTnV7QvFI3jcSlKvfkvwywvwNIwSogU1slAKZVO8Mvt9x9L7Cv8/Cul2NBYxasWRMMsOZJvkUTBGaz8B8S11j2ASynl0lo/Dpzs7LSE6eaC4xq45dpTWVBRwlN7u7l0w0Lu/vuzHVlNsqyujO7BEcsB4b7hEeJJXVCOhkk+N00w3EOVfm9Btb/M8vv5WBohG0QD8itaaCb2NdhgaYDhotp1JMxIYvIOd3/e082K+rKCKvsK9mPlKuxXSpUDTwK3KaU6safKrTDDeNPqOt60Or/S07kwGgzvHrJUgPCIDTkaJsE8K70W0stiPBUlnrz6hIejiYJcYyZV/twbUXWM9gYv/PwDbGisYiSZYndHOGtvi1giyXNv9PBXm5sz7heKhxVL40qMuk+fAR4E9gFvd3JSwtwm12W3benKrI3VhT9xBgNG/adEjn2cC+maN57yPFu+2iVa1Xm0vO0Mx1AK6srtsTqtBMNfOthHNJ7iTQUUyBScwYpofElrndJaJ7TWt2qtvw98zumJCXMXo2uZ9QS/lj7jODvcFGNFC3N72jbcUzZYGnlWui20LLpJdVnuPUW6wlFqy3y2ldVYWhugYopg+F/2dON2Kc6Q/IwZh5Wr4MIM2y61eyLC/KHU62Zxld9yMLylL4Lf67YlvmLmKuTqoglHE1SU2GBplOTXJ7zQBkwmVemeIkYtUGt0huzJ0TBRSrFpaTXPptsHZ+LJPV1sbA7OmMZDwhhZRUMp9Qml1HZgrVLqlXFfbwCvTN8UhbnIsroA+y26p1r7IjRW+wsKQpuYWdG5rqAKRe2xNMpLvIRzdE+ZZdltsTQCXuJJzdCItYxsSJcQsSm50+S8tQvY3z2Ucen1wZ4hXm0NceHx9tabEuxhMkvjduByjEZIl4/72qS1tqMJkzCPWVZrPVejpX+YJhviGTBWfykfS8OOmEZlHn3CY4nCy7KbjFla1kWzM2xPCZHxnLd2AQCP7+o8Zt+924zmnG+3qXSNYC+TiYYbCGH0swiP+0IpJY5GoSCW15UxEInTNzT1zaulL2KbaIyv9GqVeDLF8EjSlif98tLc3VOj2eg2jD9maVkTrmRK0z2Ye1XcqVhSG2BFfRmP7TxWNO7Z1sbmpdWy1HaGMtmjy0uk+4IDE/0CGljhyIyEeYGZZb6va5DNZdmfQQZjCfqH4zQG7ak9FCzL3dIYa4BkXyBca23Z3WZHsUITcwVUjwWxNo6LkUxpW7LBJ3L+2gX84pmDR5XJ33UkzO6OQf7tyvW2jyfYQ1ZLQ2u9XGu9Iv21fMKXCIZQEGYXtz1TlMlu7YsA2GZpVKRLcfTnUOl1rJeGHYFwL4mUJhq3vuTXjgq7JrVlxs2/O2ytq4EdbV6zcf5xCxhJprh7a9voth89uQ+vW3GZDQ2/BGew9OiilLoCo+kSwJ+01vc5NyVhPtAY9OP3uqesdtran15ua5NoKKUI+nPrlR2KFF7h1sQsJRKOxfH7rHXPs9PSqB21NKyJRldaXOxcPWVy5opaTltWw3ce2sllJyxkd8cgd25p5e/OXSltVmcwVgoWfhP4NEbvjNeBTyulvuH0xIS5jculWLWgnD2d4UmPa7HZ0gAjGJxLIHi01WsBFW5NKvMojx62cfzyEg8+j4ueQWu/f6fZ/MoBS0MpxVevXE8omuDan73AZ379Mo1BP588f5XtYwn2YSVP4zLgQq31LVrrW4BLMPqEC0JBrLbQxa2lL4LP46KuzL6bVq6lRMxAtB1P+vlUug3baGkopagr89FtVTRCpqXhzJP/cYsq+eR5q2gfiFBT5uO77zmpoEZbgvNY/esEgd7068zFYgQhR1Y1lHPn1tZJcxBa+yI0Bf0F9aaeSHXAS2u6NIkVBtKiYa48KgRTNHIpJTImWvYkutVVlFh2T3WGY1T5vZR6rbnS8uEzF67hMxfaX01ZcAYrlsY3gK1KqZ8rpW7FWFX1dWenJcwHVi+oAJjU2jjUO2xbPMMkGPDl1L3PLLsRtME9ZN74cylaGIrGcbsUZRZjIFNRW+Y7puFWNpzI0RBmN5NlhP+XUuosrfUdGP007kx/nam1/tV0TVCYu6yeYgVVKqXZ2zk4utLKLnINhA9E4njdioANN21z2W4oB/fUQCROVYFl2cdTW16SQ0wjZnuOhjC7mczS2AP8H6XUAeB64JDW+vda6yPTMTFh7tNcE8DncWW1NA73DROJJ1m3sMLWcavLfETiSaJxa6U0+oftu2mbwexQDkUDQ5GELSu3TGrLffQMWqs/1Rmyv4SIMLuZLE/jBq31mcA5GPGMnymldiilvqSUEgekUDBul2JlfTm7jmReQbUzvX1Ng72iUZW+cQ9YvHEPREZGP1Mo5T4PSuVmaRh1r+wr3FdfXsJIMjVlDSytNV3hGPUOJPYJs5cpYxpa64Na629prTcCVwPvBHY4PjNhXnBCYyWvtPRnfOrd7ZBomOXRrZYSGYjEbQmCg7HUuKLEk5OlYbqn7MLM1Zgqwa9/OM5IMmVb8yVhbmAlT8OrlLpcKXUb8ACwG3i34zMT5gUbl1TTNxznYM+xvTV2doRprvFTVmLvEkyzaGHfkLUbt+mesotKv9dyq1tI9/KwsUS4mRU+VSmRjrDZMVEsDWGMyQLhFyqlbgFagI8B9wMrtdZ/pbW+e5rmJ8xxNi4JArD1cN8x+3YfCbO2odL2MasCpnvKmqXRPxy3ZeWUSWWpdzTL3Ap29dIwGc0Kn2IFVXt6WfKiKikcKIwxmaXxBeAZ4Dit9eVa69u01tZqWQuCRVYvqKDM52brof6jtscSSfZ3D7F2ob0rp2C8e8ra034oEh8VGjuo9HtysjQGIvbHNIApE/zaBoxs/MVBcU8JY2R9fNFanzedExHmJ26X4qTm4DGisb9riGRKs3ah/ZZGdQ7lwePpgLFZUt0OKku9HOq11uo2Gk8ykkjZ6p6qLjMtjclFo70/itulJKYhHIU9TX8FoQA2Lgmyoz1EZFw3udfbQgCstTkIDlDqdeHzuCzVnzID1lU2uocq/V7LZUTsrHtl4nW7CAa8Uyb4tQ1EaKgowW1jNr4w+ymKaCilapRSf1RK7Ul/r85y3C1KqU6l1KvTPUdh+tjYXE0ipXmlpX902yM7OqgrL7E9sQ+M+kvVAa+l1VN2lhAxMWIa1l1jgK2BeDCywqcqJdLeH2WRNEISJlAsS+PzwKNa69XAo+n3mfg5RoFEYQ5z6rIaSjwufp9u8zk8kuDxXZ1cumGhY0+5Qb+1ooVmCRE7YxoVpR7CsQTJ1NTJdQM2lmUfT215Cd3hKdxTAxEWVYlrSjiaYonGlcCt6de3Au/IdJDW+knGCiUKc5SqgJfLT1rM3enihY/t7CQaTznaiMcojz61aAwM21d3ysR0NVkpj+6UpdFQWTpa9jwTWmvaB6IsFktDmECxRKNBa90OkP6+oEjzEGYIHzhjKcMjSX73Ugv3bmujrryE05Y714q+OuDLyT1la55GqVl/amrRciKmAcaKqLaBKKks1k7v0AixREosDeEYHCtcr5R6BFiYYdcXHRrvYxj5JCxZssSJIQQHOak5yAmNVXzl3tcBuPasZY4GYIMB76jraTLMYLmtMY1xZUyapzjWtDTsXD0FRufEkUSK7qFYxtVR7QOSoyFkxjHR0Fq/Nds+pVSHUmqR1rpdKbUI6LRhvJuBmwE2b948tbNYmHF85Yrjue+VdtYtrODKkxsdHctoxGQU7ZusEGH/6E3bxtVTaQGwYmmYlo6dyX0Ai9Ni0NYfzSgabf1GjoZYGsJEitUi6x7gQ8A3099/X6R5CDOITUtr2LTUOZfUeGrKvMSTmsFYYtLmRgOROBUlHjxu+zy5o+XRLWSFh6IJSr0uSjz2NkEyYxVt/RFObg4es3/U0pDEPmECxYppfBO4UCm1B7gw/R6l1GKl1P3mQUqpOzCy0tcqpVqUUn9TlNkKc47R+ktTJLgNDNubDQ65WRp2150yaRwnGploG4jgdStb2+wKc4OiWBpa6x7gggzb2zB6kpvv/3o65yXMH+oqzFIaMZbVlWU9zqhwa7No5NBTw+4Kt2Nz8FBe4qE1i2i090dZWFVqa5tdYW4gGeHCvKQ2XUpjqqzo/kjc1hIiABUl1ntq2N1Lw0QpZaygyiIah/uGR60RQRiPiIYwL6mvsFa0r3/YvgZMJi6XotxiTw27u/aNZ3HQT1v/sbkaWmv2dw2xst7+bHxh9iOiIcxLaixaGgM2V7g1qSy11lPDKfcUGKKRyT3VPTjCQCQuoiFkRERDmJdYKdqXTGl6h0aoK7c/GFzpt9ZTwyn3FBjB8N6hkaMKRQLs6zJ6tjtR90uY/YhoCPOWuvKSSVdP9Q6NkNJQX25vTAOMvI+pLA2ttWOrp2CsT4bZN8PEFI2VIhpCBkQ0hHlLXblvUkujK91D2zlLY3LRCEUTpDS2r94yGUvwmyAanUP4vW4WVUqOhnAsIhrCvKW2vGTSQLgpKObyXDuxUh69L93D24y/2E1TTQDgmIZQ+7oGWVFfJstthYyIaAjzlvrykkktjVHRcMDSCAa8oyVCstGbrntV7ZBoLK4qpcrv5dXWgaO27+salCC4kBURDWHeUlfuIxxNEI0nM+433VP1DlgaNWU+hkaSWceGcZaGjcUSx6OU0Wr35cNjohEZSdLaH5EguJAVEQ1h3lKbtiB6hjK7qLoHY5R6XZT57K37BGN9yicrz97rsHsK4OSmKnZ3hBkeMVZy7e8eRGvE0hCyIqIhzFtMt1NPFhdV96Cx3HayKrj5YgpBbxbBGr/PKfcUGCXpkynNa+me7KaranWDiIaQGRENYd5SVz55gl/3YMyReAZYFI3hEXxuZywdkxObggBsO9wPwIOvHqGp2s9qcU8JWRDREOYtpiBk65XdFXZSNIxltJOJRt/QCNVlXkcsHZP6ihIag35ePtzPQCTOX/Z2c+mGhY6OKcxuRDSEecuoaAxltzScCIID1KRLjvdN6p6Kjx7nJCc3B9lysI8HtrcTT2ou2eBcb3Zh9iOiIcxb/D43ZT53RkvDLCHiRDY4GD3HlZrC0hgeGbVInOTSExbSNhDlX+/aTkNlCRszNGUSBBMRDWFes6CylI7QsZVee4ZipLQziX0Abpci6PeO5mJkondoZHSVlZO8/cTF/OzaU6kO+HjPpmZJ6hMmpVjtXgVhRtBU7aelb/iY7ab14VRMA4xgeN9Q9gS/3qERR5fbjue8dQt48YtvnZaxhNmNWBrCvKapOsDhvkzlwZ3LBjepKfPRkyWekkimGIjEp8XSMHG5lFgZwpSIaAjzmuYaozz4UOzoMuWmaDgVCAcjwS+bpdGfLjEyXZaGIFhFREOY1zRXG0X7Dk9wUY1VuHXupl1b7ssa0+ibhsQ+QcgHEQ1hXtOcrvR6uPdoF1Vrf4TyEg/lJc6F/QxLYwSt9TH7zNImtSIawgxDREOY1zRVGz0lDk8oD270yC5zNMmtpsxHIqUJRY/t4DdqaUxjTEMQrCCiIcxrast8+L1uWvqO7V63wuGifWa8IlOCn+m2kpiGMNMQ0RDmNUopmmv8R8U0hkcStA9EWVFX5ujYZrwiU5VdU0ic6tonCPkioiHMe5qrA0e5p/Z3DQE4bmnUTmZpDMUp87kp9TpXrFAQ8kFEQ5j3NNcEaOmLjAak93ebouGwpZGOV2RaQdU1GBvt9yEIMwkRDWHe01TtZzCWoH/YyI3Y3zWIUrDcYffUZOXR2/ojLA6WOjq+IOSDiIYw71mSXnZrWhj7u4ZoDPoddw0F0gUTM9W+au2L0BgMODq+IOSDiIYw79m0tBql4M97ugCj5anT8QwwgvBN1YFjVm7Fkyk6wlEaxdIQZiAiGsK8p7bcKAf+2M5OtNa80TXk+Mopk6Zq/zE5IkcGomgNjekcEkGYSYhoCAJwwXENvNIywB+2tzM0kmRNQ8W0jNtU7ad1XBAejGx0gMVBEQ1h5iGiIQjA+esWAPCZX79MY9DPlScvnpZxm2sChGMJQpGxrPC2tGg0imgIMxARDUEA1i2sYHFVKfGk5j/esYEyB2tOjWe0jMm45MLWPrE0hJlLUURDKVWjlPqjUmpP+nt1hmOalVKPK6V2KKVeU0p9uhhzFeYHSik+dcFqPnX+Ks5LWx3TQVO6yu74RlBtAxHqyn2S2CfMSIplaXweeFRrvRp4NP1+Igngn7TWxwFnAH+vlDp+GucozDP++rQl/NNFa6d1zOZR0RhbQdXSFxErQ5ixFEs0rgRuTb++FXjHxAO01u1a6y3p12FgB9A4XRMUhOmg0u+hosRz1Aqqtv6IxDOEGUuxRKNBa90OhjgAk/oDlFLLgI3Ac5Mc8zGl1ItKqRe7urrsnKsgOIZSiqaasVwNrTWtIhrCDMaxaJ9S6hFgYYZdX8zx55QDvwOu11qHsh2ntb4ZuBlg8+bNx3a1EYQZSlO1n4M9RjZ633CcaDwl7ilhxuKYaGit35ptn1KqQym1SGvdrpRaBHRmOc6LIRi3aa3vdGiqglBUmqr9PLW320gsTJcykcQ+YaZSLPfUPcCH0q8/BPx+4gHKaJn2U2CH1vp70zg3QZhWmqsDDI8kORKK8vjOTtwuxWnLaoo9LUHISLFE45vAhUqpPcCF6fcopRYrpe5PH3M28AHgfKXUy+mvy4ozXUFwjnPW1gNw55ZWHnrtCKctqxlt0CQIM43pyWCagNa6B7ggw/Y24LL0678AzjVoFoQZwsr6cs5YUcNP/ryfvuE415yxtNhTEoSsSEa4IMwArj59KX3pfh4XrW8o8mwEITtFsTQEQTiai9c3UFvmo6naz6IqCYILMxcRDUGYAZR43Nz6kdPw+6R0iDCzEdEQhBnChsaqYk9BEKZEYhqCIAiCZUQ0BEEQBMuIaAiCIAiWEdEQBEEQLCOiIQiCIFhGREMQBEGwjIiGIAiCYBkRDUEQBMEyIhqCIAiCZUQ0BEEQBMuIaAiCIAiWEdEQBEEQLCOiIQiCIFhGREMQBEGwjIiGIAiCYBkRDUEQBMEySmtd7DnYjlKqCzg4ySF1QPc0TSdXZvLcQOZXKDK/wpD55c9Uc1uqta6f6ofMSdGYCqXUi1rrzcWeRyZm8txA5lcoMr/CkPnlj11zE/eUIAiCYBkRDUEQBMEy81U0bi72BCZhJs8NZH6FIvMrDJlf/tgyt3kZ0xAEQRDyY75aGoIgCEIeiGgIgiAIlpmzoqGUukQptUsptVcp9fkM+5VS6vvp/a8opU6Zxrk1K6UeV0rtUEq9ppT6dIZjzlVKDSilXk5/fWm65pce/4BSant67Bcz7C/m+Vs77ry8rJQKKaWun3DMtJ4/pdQtSqlOpdSr47bVKKX+qJTak/5eneWzk16rDs7vO0qpnem/311KqWCWz056LTg4v68opVrH/Q0vy/JZR89flrn9ety8DiilXs7y2ek4dxnvJ45df1rrOfcFuIF9wArAB2wDjp9wzGXAA4ACzgCem8b5LQJOSb+uAHZnmN+5wH1FPIcHgLpJ9hft/GX4Wx/BSEwq2vkD3gKcArw6btu3gc+nX38e+FaW+U96rTo4v4sAT/r1tzLNz8q14OD8vgL8s4W/v6PnL9PcJuz/P8CXinjuMt5PnLr+5qqlcRqwV2u9X2s9AvwKuHLCMVcCv9AGzwJBpdSi6Zic1rpda70l/ToM7AAap2NsGyna+ZvABcA+rfVkFQAcR2v9JNA7YfOVwK3p17cC78jwUSvXqiPz01o/rLVOpN8+CzTZPa5Vspw/Kzh+/iabm1JKAe8F7rBzzFyY5H7iyPU3V0WjETg87n0Lx96UrRzjOEqpZcBG4LkMu89USm1TSj2glFo/vTNDAw8rpV5SSn0sw/4Zcf6A95H9H7aY5w+gQWvdDsY/NrAgwzEz5Tx+BMNyzMRU14KTfDLtPrsli3ul2OfvzUCH1npPlv3Teu4m3E8cuf7mqmioDNsmri22coyjKKXKgd8B12utQxN2b8FwuZwE3AjcPZ1zA87WWp8CXAr8vVLqLRP2z4Tz5wOuAH6TYXexz59VZsJ5/CKQAG7LcshU14JT/BBYCZwMtGO4gSZS7PP310xuZUzbuZvifpL1Yxm2TXr+5qpotADN4943AW15HOMYSikvxh/4Nq31nRP3a61DWuvB9Ov7Aa9Sqm665qe1bkt/7wTuwjBjx1PU85fmUmCL1rpj4o5in780HabLLv29M8Mxxb4OPwS8HXi/Tju5J2LhWnAErXWH1jqptU4BP84ybtHOn1LKA7wL+HW2Y6br3GW5nzhy/c1V0XgBWK2UWp5+Gn0fcM+EY+4BPpheBXQGMGCack6T9oP+FNihtf5elmMWpo9DKXUaxt+qZ5rmV6aUqjBfYwRMX51wWNHO3ziyPuUV8/yN4x7gQ+nXHwJ+n+EYK9eqIyilLgE+B1yhtR7OcoyVa8Gp+Y2Pkb0zy7hFO3/AW4GdWuuWTDun69xNcj9x5vpzMqpfzC+M1T27MVYGfDG97ePAx9OvFfCD9P7twOZpnNubMEzAV4CX01+XTZjfJ4HXMFYzPAucNY3zW5Eed1t6DjPq/KXHD2CIQNW4bUU7fxji1Q7EMZ7e/gaoBR4F9qS/16SPXQzcP9m1Ok3z24vhzzavwZsmzi/btTBN8/t/6WvrFYwb2aJinL9Mc0tv/7l5vY07thjnLtv9xJHrT8qICIIgCJaZq+4pQRAEwQFENARBEATLiGgIgiAIlhHREARBECwjoiEIgiBYRkRDEMahlKodV730yLgqq4NKqf92aMzrlVIfzONzPqXUk+kkM0GYFmTJrSBkQSn1FWBQa/1dB8fwYJQ8OUWPFQ/M5fNfxig4l60EiCDYilgagmABZfTnuC/9+itKqVuVUg+n+yW8Syn17XTfhAfTJR1QSm1SSj2RLlb3UJYqwOdjlEJJpD/zJ6XUt5RSzyuldiul3pzevj697eV0Ab/V6c/fDbzf8RMgCGlENAQhP1YCb8MoI/1L4HGt9QlABHhbWjhuBK7SWm8CbgG+luHnnA28NGGbR2t9GnA98OX0to8DN2itTwY2Y2Qmg1GW4lSbfidBmBLxhQpCfjygtY4rpbZjNLJ5ML19O7AMWAtsAP6YLoHlxihFMZFFGP0PxmMWnHsp/bMAngG+qJRqAu7U6VLcWuukUmpEKVWhjV4KguAoIhqCkB8xAK11SikV12PBwRTG/5UCXtNanznFz4kApZl+NpBM/yy01rcrpZ7DsG4eUkpdp7V+LH1cCRAt6LcRBIuIe0oQnGEXUK+UOhOM0tVZGkHtAFZN9cOUUiuA/Vrr72MU7zsxvb0W6NJax22buSBMgoiGIDiANlpnXgV8Sym1DaPy6FkZDn0Aowf1VPwV8KpS6mVgHfCL9PbzgPsLna8gWEWW3ApCkVFK3QX8i87eMnSyz94J/KvWepf9MxOEYxFLQxCKz+cxAuI5kW6ac7cIhjCdiKUhCIIgWEYsDUEQBMEyIhqCIAiCZUQ0BEEQBMuIaAiCIAiWEdEQBEEQLPP/AT2vTwg76mQ0AAAAAElFTkSuQmCC\n" 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\n" + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "omega, n_rot = sp.symbols('omega n_rot')\n", + "\n", + "t_period = sp.pi * 2 / omega\n", + "t_gauss = n_rot * t_period\n", + "\n", + "gauss_n = gauss.with_mapping({'t_gauss': t_gauss, 'tau': t_gauss / 5})\n", + "\n", + "gauss_mod = gauss_n * 'cos(omega * t + phi)'\n", + "\n", + "\n", + "# integer number of rotations\n", + "# pi half -> P = 0.5 -> A = asin(sqrt(1/2)) * 2\n", + "\n", + "\n", + "\n", + "experiment_parameters = {\n", + " 'alpha': 1.,\n", + " 'omega': 0.5 * 2 * np.pi,\n", + "}\n", + "\n", + "pulse_settings = {'n_rot_pi_half': 10, 'n_rot_pi': 20}\n", + "\n", + "ampl_pi_half = sp.asin(sp.sqrt(1/2)) * 2 * sp.symbols('alpha') / gauss_n.integral['C'] * sp.symbols('ampl')\n", + "ampl_pi = sp.asin(sp.sqrt(1)) * 2 * sp.symbols('alpha') / gauss_n.integral['C'] * sp.symbols('ampl')\n", + "\n", + "pi_half = gauss_mod.with_mapping({'ampl': ampl_pi_half.subs({'n_rot': 'n_rot_pi_half'}), 'n_rot': 'n_rot_pi_half'})\n", + "pi_pls = gauss_mod.with_mapping({'ampl': ampl_pi.subs({'n_rot': 'n_rot_pi_half'}), 'n_rot': 'n_rot_pi'})\n", + "\n", + "x_pi_half = pi_half.with_mapping({'phi': 't_global * omega'})\n", + "y_pi_half = pi_half.with_mapping({'phi': 't_global * omega + pi / 2'})\n", + "x_pi = pi_pls.with_mapping({'phi': 't_global * omega'})\n", + "y_pi = pi_pls.with_mapping({'phi': 't_global * omega + pi / 2'})\n", + "\n", + "_ = plot(x_pi_half, parameters={**experiment_parameters, **pulse_settings, 't_global': 0}, stepped=False)\n", + "_ = plot(y_pi_half, parameters={**experiment_parameters, **pulse_settings, 't_global': 0}, stepped=False)\n", + "_ = plot(x_pi, parameters={**experiment_parameters, **pulse_settings, 't_global': 0}, stepped=False)" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 4, + "outputs": [], + "source": [ + "wait = ConstantPT('t_wait', {'C': 0})\n", + "\n", + "# the logic gates' length is a multiple of\n", + "\n", + "cpmg = SequencePT(\n", + " x_pi_half.with_mapping({'t_global': 0}),\n", + " (wait @ y_pi.with_mapping({'t_global': '(1 + 2 * i_cpmg) * t_wait'}) @ wait).with_iteration('i_cpmg', 'n_cpmg'),\n", + " x_pi_half.with_mapping({'t_global': 'n_cpmg * 2 * t_wait'}),\n", + ")" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": 5, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'ampl' is not defined", + "output_type": "error", + "traceback": [ + "\u001B[1;31m---------------------------------------------------------------------------\u001B[0m", + "\u001B[1;31mNameError\u001B[0m Traceback (most recent call last)", + "\u001B[1;32m~\\AppData\\Local\\Temp/ipykernel_13300/501607202.py\u001B[0m in \u001B[0;36m\u001B[1;34m\u001B[0m\n\u001B[1;32m----> 1\u001B[1;33m \u001B[0mampl\u001B[0m\u001B[1;33m.\u001B[0m\u001B[0msubs\u001B[0m\u001B[1;33m(\u001B[0m\u001B[1;33m{\u001B[0m\u001B[1;34m'n_rot'\u001B[0m\u001B[1;33m:\u001B[0m \u001B[1;34m'n_rot_pi_half'\u001B[0m\u001B[1;33m}\u001B[0m\u001B[1;33m)\u001B[0m\u001B[1;33m\u001B[0m\u001B[1;33m\u001B[0m\u001B[0m\n\u001B[0m", + "\u001B[1;31mNameError\u001B[0m: name 'ampl' is not defined" + ] + } + ], + "source": [ + "ampl.subs({'n_rot': 'n_rot_pi_half'})" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": null, + "outputs": [], + "source": [ + "ampl" + ], + "metadata": { + "collapsed": false + } + }, + { + "cell_type": "code", + "execution_count": null, + "outputs": [], + "source": [], + "metadata": { + "collapsed": false + } + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}