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@blakejohnson
Created June 6, 2014 18:30
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Coupled Duffing oscillators.ipynb
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{
"metadata": {
"language": "Julia",
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"using PyPlot"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"INFO: Loading help data...\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"using QSimulator\n",
"import QSimulator: hamiltonian"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"numlevels = 5\n",
"\u03b1 = -0.300;\n",
"J = 0.010;\n",
"detunings = linspace(-0.1, 0.8, 901);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"v = {}\n",
"for delta in detunings\n",
" Q1 = Duffing(\"q1\", 5.0 + delta, \u03b1, numlevels)\n",
" Q2 = Duffing(\"q2\", 5.0, \u03b1, numlevels)\n",
" sys = Q1 + Q2 + FlipFlop(Q1, Q2, J)\n",
" push!(v, eigvals(Hermitian(hamiltonian(sys))))\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 48
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ev = hcat(v...);\n",
"size(ev)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 49,
"text": [
"(25,901)"
]
}
],
"prompt_number": 49
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ev[2,:]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 50,
"text": [
"1x901 Array{Float64,2}:\n",
" 4.89901 4.9 4.90099 4.90198 \u2026 4.99987 4.99987 4.99987 4.99988"
]
}
],
"prompt_number": 50
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i = 2:10\n",
" plot(detunings*1e3, vec(ev[i,:]))\n",
"end\n",
"xlabel(\"Detuning (MHz)\")\n",
"ylabel(\"Energy (GHz)\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x1168b9690>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 51,
"text": [
"PyObject <matplotlib.text.Text object at 0x1175f3510>"
]
}
],
"prompt_number": 51
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Zooming in on the 3-excitation manifold"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i = 2:10\n",
" plot(detunings*1e3, vec(ev[i,:]))\n",
"end\n",
"xlabel(\"Detuning (MHz)\")\n",
"ylabel(\"Energy (GHz)\")\n",
"ylim(13.5, 16.5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x117a64d10>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 56,
"text": [
"(13.5,16.5)"
]
}
],
"prompt_number": 56
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i = 9:10\n",
" plot(detunings[601:801]*1e3, vec(ev[i,601:801]))\n",
"end\n",
"xlabel(\"Detuning (MHz)\")\n",
"ylabel(\"Energy (GHz)\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x11856ead0>)"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 70,
"text": [
"PyObject <matplotlib.text.Text object at 0x118574d10>"
]
}
],
"prompt_number": 70
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"find(detunings .== 0.6)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 61,
"text": [
"1-element Array{Int64,1}:\n",
" 701"
]
}
],
"prompt_number": 61
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ev[10, 701]-ev[9, 701]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 65,
"text": [
"0.034628198023453294"
]
}
],
"prompt_number": 65
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sqrt(3)*0.01*2"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 67,
"text": [
"0.034641016151377546"
]
}
],
"prompt_number": 67
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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