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Ramsey simulations for Britton
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"using PyPlot" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Crude gaussian pusle calibration with Rabi\n", | |
"Also helps verify our simulation scalings are sane." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"X = Complex128[0 1;1 0]\n", | |
"Z = Complex128[1 0; 0 -1]\n", | |
"rho_init = Complex128[1 0; 0 0]\n", | |
"results = Float64[]\n", | |
"nut_freq = 20e6\n", | |
"for num_points in 10:100\n", | |
" shape = exp(-0.5*(linspace(-2,2,num_points).^2))\n", | |
" U = eye(Complex128, 2)\n", | |
" for step in 1:num_points\n", | |
" U = expm(-1im*1e-9*pi*nut_freq*shape[step]*X)*U\n", | |
" end\n", | |
" rho_final = U*rho_init*U'\n", | |
" push!(results, real(trace(rho_final'*rho_init)))\n", | |
"end" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7fa4d0f95f28>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"1-element Array{Any,1}:\n", | |
" PyObject <matplotlib.lines.Line2D object at 0x7fa4c9bbd588>" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"plot(10:100,results)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Looks like a 42ns pi pulse so half the amplitude to get a pi/2 at the same time.\n", | |
"\n", | |
"# Simplistic Ramsey unitary simulation" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"num_points = 42\n", | |
"nut_freq = 10e6\n", | |
"shape = exp(-0.5*(linspace(-2,2,num_points).^2))\n", | |
"\n", | |
"detunings = -20e6:0.2e6:20e6\n", | |
"pulse_spacings = 1e-6*(0.1:0.1:10)\n", | |
"results = Array{Float64}(length(detunings), length(pulse_spacings))\n", | |
"\n", | |
"for (ct1,detuning) in enumerate(detunings)\n", | |
" U90 = eye(Complex128, 2)\n", | |
" for step in 1:num_points\n", | |
" U90 = expm(-1im*1e-9*pi*(nut_freq*shape[step]*X + -detuning*Z))*U90\n", | |
" end\n", | |
" \n", | |
" for (ct2, delay) in enumerate(pulse_spacings)\n", | |
" rho_init = Complex128[1 0; 0 0]\n", | |
" U = U90*expm(-1im*pi*delay*(-detuning*Z))*U90\n", | |
" rho_final = U*rho_init*U'\n", | |
" results[ct1, ct2] = trace(rho_final'*rho_init)\n", | |
" end\n", | |
"end " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7fa4c9bb0eb8>)" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"PyObject <matplotlib.text.Text object at 0x7fa4c9b27668>" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"pcolormesh(pulse_spacings*1e6, detunings/1e6, results, cmap=\"RdBu\")\n", | |
"xlabel(\"Pulse Spacing (us)\")\n", | |
"ylabel(\"Detuning (MHz)\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Crazy patterns just like Britton is seeing!" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Julia 0.4.0", | |
"language": "julia", | |
"name": "julia-0.4" | |
}, | |
"language_info": { | |
"file_extension": ".jl", | |
"mimetype": "application/julia", | |
"name": "julia", | |
"version": "0.4.1" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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