docs/source/guide/ipynb/paramsweep.ipynb

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    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "\n",
    "import scqubits as scq\n",
    "from scqubits import HilbertSpace, InteractionTerm, ParameterSweep\n",
    "\n",
    "import numpy as np"
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    "# Parameter Sweeps: Basic\n",
    "Determining the dependence of physical observables on an external parameter is a common way to gain intuition for the properties and behavior of a system. Such parameter sweeps can be performed with scqubits on multiple levels: \n",
    "\n",
    "* at the level of a single qubit,\n",
    "* at the level of a composite quantum system.\n",
    "\n",
    "At the single-qubit level, each qubit class provides several methods that enable producing parameter sweep data and plots. Central quantities of interest, in this case, are energy eigenvalues and matrix elements -- in particular, their dependence on parameters like flux or offset charge.\n",
    "\n",
    "The relevant methods available for every implemented qubit class are:\n",
    "\n",
    "|  class method                               |   purpose                     |\n",
    "|---------------------------------------------|-------------------------------|\n",
    "| `<qubit>.get_spectrum_vs_paramvals(...)`    | for each provided value of a specified qubit parameter, compute eigenvalues and eigenvectors                                          |\n",
    "| `<qubit>.get_matelements_vs_paramvals(...)` | for each provided value of a specified qubit parameter, compute matrix elements of a given operator w.r.t. the qubit eigenstates | \n",
    "| `<qubit>.plot_evals_vs_paramvals(...)`      | plot the energy eigenvalues as a function of a specified qubit parameter |\n",
    "| `<qubit>.plot_matelem_vs_paramvals(...)`    | plot the matrix elements for a given operator as a function of a specified qubit parameter                                           |\n",
    "\n",
    "The following code illustrates this functionality for the example of a fluxonium qubit."
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    "fluxonium_qbt = scq.Fluxonium.create()"
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   "source": [
    "# define an array of flux values\n",
    "fluxvals = np.linspace(0, 1, 80)\n",
    "fluxonium_qbt.plot_evals_vs_paramvals(param_name='flux', param_vals=fluxvals);"
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   "metadata": {},
   "source": [
    "Note: the argument `param_name` must be one of the parameters with which the qubit in question is initialized. (More flexibility can be achieved by using the `ParameterSweep` class below, using a Hilbert space composed just of the qubit by itself.)\n",
    "\n",
    "To generate spectral data and return them in the form of a `SpectrumData` object, we may use:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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    {
     "data": {
      "text/plain": [
       "<scqubits.core.storage.SpectrumData at 0x171f36f4520>"
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     },
     "execution_count": 4,
     "metadata": {},
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   "source": [
    "specdata = fluxonium_qbt.get_spectrum_vs_paramvals(param_name='flux', param_vals=fluxvals);\n",
    "specdata"
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  {
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   "metadata": {},
   "source": [
    "To retrieve eigenvalues and eigenvectors, one simply accesses the attributes `<SpectrumData>.energy_table` and `<SpectrumData>.state_table`. Furthermore, `SpectrumData` itself allows one to produce a plot of the eigenvalues from the generated data.\n",
    "\n",
    "These are the lowest six eigenenergies (in GHz, by default) for the first flux value:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-4.28338463,  4.47506063,  4.69616798,  6.71864972, 12.64960539,\n",
       "       15.28847499])"
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     "execution_count": 5,
     "metadata": {},
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   "source": [
    "specdata.energy_table[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And this generates the eigenenergy plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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    "specdata.plot_evals_vs_paramvals();"
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   "metadata": {},
   "source": [
    "In a similar manner, one can generate a plot of matrix elements as a function of a parameter value. (Since matrix elements are generally complex-valued, the absolute value is plotted by default. The `mode` argument allows for additional options.) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
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