{ "cells": [ { "cell_type": "markdown", "id": "d6cf904d-7062-41d4-852a-bdf49911a2b0", "metadata": {}, "source": [ "![](Rydiqule_Logo_Transparent_300.png)" ] }, { "cell_type": "markdown", "id": "114e9a5c-e1e3-4acd-85b5-29931b70d7df", "metadata": {}, "source": [ "# RF heterodyne example" ] }, { "cell_type": "markdown", "id": "049681de-fce1-46e5-8ae1-c964f899fb66", "metadata": {}, "source": [ "For a more thorough introduction to the core functionality of `rydiqule`, it may be helpful to look at the `Introduction_to_Rydiqule.ipynb` notebook before this one.\n", "\n", "This notebook demonstrates two-tone detection using a Rydberg sensor in the time domain. An RF local oscillator (LO) and signal (sig) are imposed on the Rydberg sensor. This is useful for RF phase detection, and can be used to linearize the detection, as shown below. The main results of this example are:\n", "\n", "1. we show that the time solver and steady-state solver approximately agree. \n", "2. we plot an example of a time response due to RF heterodyne. \n", "3. we find the optimum detuning of the Rydberg laser for RF heterodyne, for a given value of LO power. \n", "4. we plot the linear dynamic of the RF heterodyning scheme, and show that it is limited by the LO power on the high end. The result is limited by the solver tolerance on the low end. \n", "\n", "This notebook can be downloaded [here](https://github.com/QTC-UMD/rydiqule/blob/main/docs/source/examples/RF_heterodyne_example.ipynb)." ] }, { "cell_type": "markdown", "id": "a204176b-9632-4346-8ca9-47a2c8129798", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "bf512d78", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "id": "468ed4c2-9d9a-4d3c-a3c9-0f5b1e4a0356", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import rydiqule as rq\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "3fc0483d-2d43-4e89-b234-35d8582f473f", "metadata": {}, "source": [ "## Comparing the steady-state and time solver results" ] }, { "cell_type": "markdown", "id": "a85c3354-4baa-4428-8646-2e29edb8d9ec", "metadata": {}, "source": [ "This example uses a `Cell` object, which inherits `Sensor`. The `Cell`'s purpose is to attach the bare pyhiscs calculations of a `Sensor` to a real physical atom. This allows for specification of quantum numbers for states, meaning `rydiqule` can calculate things like transition frequencies (using ARC) without needing to specify them in the object creation. The details will be discussed further down.\n", "\n", "NOTE: The time solver runs more slowly for large transition frequencies, since it makes no rotating wave approximation by default. Therefore, it is advisable to debug calculations using a transition with a low frequency (ie, very large $n$). Once calculations are debugged and running well, they can be re-run with the appropriate $n$-level. Further, ARC calculates dipole moments for the chosen transition. For large $n$, this calculation is slow, due to the large amount of structure in the atomic wavefunction. However, ARC caches the results, so it only runs slowly the first time." ] }, { "cell_type": "markdown", "id": "c96c5cff", "metadata": {}, "source": [ "### The steady-state `Cell`" ] }, { "cell_type": "code", "execution_count": 3, "id": "cfe32034-03f6-4f55-a6c2-453797a91a8f", "metadata": {}, "outputs": [], "source": [ "atom = \"Rb85\"\n", "\n", "(g, e) = rq.D2_states(atom)\n", "r1 = rq.A_QState(150, 2, 2.5)\n", "r2 = rq.A_QState(149, 3, 3.5)\n", "\n", "\n", "RbSensor_ss = rq.Cell(atom, [g, e, r1, r2],\n", " gamma_transit=2*np.pi*1, cell_length = 1e-5)" ] }, { "cell_type": "markdown", "id": "12f0559f", "metadata": {}, "source": [ "#### Define Transitions\n", "Transitions are defined as dictionaries in a `Cell` in the same way as they are in a bas `Sensor`. For the steady-state case, nothing changes. For this example, we will observe the response of the system over a series of 200 blue laser detunings." ] }, { "cell_type": "code", "execution_count": 4, "id": "f1b444f0", "metadata": {}, "outputs": [], "source": [ "rf_rabi = 25 #Mrad/s\n", "n_det_ss = 200\n", "detunings_ss = np.linspace(-150, 150, n_det_ss)\n", "\n", "red_laser = {'states':(g,e), 'rabi_frequency':2*np.pi*0.6, 'detuning':0}\n", "blue_laser = {'states':(e,r1), 'rabi_frequency':2*np.pi*1.0, 'detuning':detunings_ss}\n", "local_oscillator_ss = {'states':(r1,r2), 'rabi_frequency':rf_rabi, 'detuning':0}\n", "\n", "RbSensor_ss.add_couplings(red_laser, blue_laser, local_oscillator_ss)" ] }, { "cell_type": "markdown", "id": "d4f6b880-9187-4195-afd7-03787eb2ec00", "metadata": {}, "source": [ "#### Solve the steady state system\n", "We solve a `Cell` in exaclty the same way we solve a `Sensor` object." ] }, { "cell_type": "code", "execution_count": 5, "id": "52d72dd5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(200, 15)\n" ] } ], "source": [ "ss_solution = rq.solve_steady_state(RbSensor_ss)\n", "print(ss_solution.rho.shape)" ] }, { "cell_type": "markdown", "id": "5e7563a7", "metadata": {}, "source": [ "### The time solver `Cell`\n", "We want to use the same decoherence values" ] }, { "cell_type": "code", "execution_count": 6, "id": "625713f6", "metadata": {}, "outputs": [], "source": [ "RbSensor_time = rq.Cell(atom, [g, e, r1, r2],\n", " gamma_transit=2*np.pi*1, cell_length = 1e-5)" ] }, { "cell_type": "markdown", "id": "ae244c9d", "metadata": {}, "source": [ "#### Defining the rf field\n", "The `time_dependence` argument is expected to be a python function of a single variable (time in $\\mu s$) that returns the field at that time. To match our steady state solution, which had a detuning of 0, we will explicitly define a single-tone field as a function of time that is resonant with our rf transition." ] }, { "cell_type": "code", "execution_count": 7, "id": "e2d13524-371e-4cf4-b4cc-a32096ac5341", "metadata": {}, "outputs": [], "source": [ "rf_freq = RbSensor_ss.atom.get_transition_frequency(r1, r2)*1E-6\n", "def rf_carrier(t):\n", " return np.cos(2*np.pi*rf_freq*t)#extra factor of 2 to account for no RWA. " ] }, { "cell_type": "code", "execution_count": 8, "id": "1b59aa03-6bd6-4d45-b777-dcfdf940a235", "metadata": {}, "outputs": [], "source": [ "n_det = 20\n", "detunings = np.linspace(-75, 75, n_det)\n", "\n", "red_laser = {'states':(g,e), 'rabi_frequency':2*np.pi*0.6, 'detuning':0}\n", "blue_laser = {'states':(e,r1), 'rabi_frequency':2*np.pi*1.0, 'detuning':detunings}\n", "rf_transition = {'states':(r1,r2), 'rabi_frequency':rf_rabi, 'time_dependence': rf_carrier }\n", "\n", "RbSensor_time.add_couplings(red_laser, blue_laser, rf_transition)" ] }, { "cell_type": "markdown", "id": "9a9ba9a0-ef11-4a1c-9c0a-d40025343f0f", "metadata": {}, "source": [ "#### Solve in the time domain" ] }, { "cell_type": "code", "execution_count": 9, "id": "9bc69356-ea7f-4188-a851-3f331305c53f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: total: 11.2 s\n", "Wall time: 11.3 s\n" ] } ], "source": [ "%%time\n", "end_time = 10 #microseconds\n", "sample_num = 10\n", "\n", "time_solution = rq.solve_time(RbSensor_time, end_time, sample_num, atol=1e-6, rtol=1e-6)" ] }, { "cell_type": "code", "execution_count": 10, "id": "1f2b902e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'rabi_frequency': 25,\n", " 'transition_frequency': 4138.0258295573,\n", " 'kvec': (0, 0, 0),\n", " 'time_dependence': ,\n", " 'coherent_cc': 1,\n", " 'dipole_moment': np.float64(12692.33892452404),\n", " 'q': 0,\n", " 'label': '((150, 2, 2.5),(149, 3, 3.5))'}" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "RbSensor_time.couplings.edges[r1,r2]" ] }, { "cell_type": "markdown", "id": "69e9065b", "metadata": {}, "source": [ "### Comparing results\n", "Now, with results for both steady state and time simulations, we can compare them and see that they match. Note that because the time solution has an extra dimension, we only get the last (`[:,-1]`) element, since this is effectively the steady-state solution (assuming transient behavior has been damped out by 10 $\\mu s$). Here we also use a function to get the transmission coefficient from the solution quickly by extracting the proper density matrix elements." ] }, { "cell_type": "code", "execution_count": 11, "id": "6d7ab587-16d3-439b-9a61-a6d395cf87f3", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "(20, 10)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "time_solution.get_transmission_coef().shape" ] }, { "cell_type": "code", "execution_count": 12, "id": "9d804c1f-a2b6-4a36-aa51-f6c7656049dd", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Modify to include convenience functions and get physical parameters.\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(detunings_ss, ss_solution.get_transmission_coef(), label=\"Steady-state solve\")\n", "ax.plot(detunings, time_solution.get_transmission_coef()[:,-1], 'o', label=\"Time solve\")\n", "ax.set_xlabel(\"Rydberg Laser Detuning (MHz)\")\n", "ax.set_ylabel(\"Probe Transmission\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "id": "d49bd531-c276-4e5e-89f4-ca1accecf719", "metadata": {}, "source": [ "## Observe a heterodyne beat between the Signal and LO.\n", "The goal of this section is to see the beating behavior in time between the signal and rf local oscillator. This will help see exactly how to observe behavior in the time domain with rydiqule. It will look a lot like other time solves, but we will look at the solution in a different way." ] }, { "cell_type": "markdown", "id": "cb1067c0-8fcf-4c9b-a5c1-1c2877e88a8a", "metadata": {}, "source": [ "### Define the RF LO and signal\n", "Just like before, we need a function of time to input into the time solver. This time, instead of just an rf carrier signal, we will define a function that adds a local oscillator of frequency $\\omega_0$ with an \"incoming\" rf signal of frequency $\\omega_0+\\delta$. We will also define the time function as the return of another function, which will allow us to make changes to the function quickly if we want to experiment a little. " ] }, { "cell_type": "code", "execution_count": 13, "id": "381408dc-dc01-49eb-a693-a7c2164acf2f", "metadata": {}, "outputs": [], "source": [ "def sig_and_LO(omega_0, delta, beta):\n", " def fun(t):\n", " return np.sin(omega_0*t)+beta*np.sin((omega_0+delta)*t)\n", " return fun" ] }, { "cell_type": "code", "execution_count": 14, "id": "cdd5c0c4", "metadata": {}, "outputs": [], "source": [ "omega_0 = 2*np.pi*rf_freq\n", "delta = 5 \n", "beta = 0.05" ] }, { "cell_type": "markdown", "id": "da1b9e8c", "metadata": {}, "source": [ "### The Sensor\n", "We will use the same `RbSensor_time` sensor as before, but change the blue laser to be just a single value. This highlights an important aspect of `Sensor`. It does not support multiple fields coupling the same pair of levels, but will override an old one with a new one when `add_coupling()` is called." ] }, { "cell_type": "code", "execution_count": 15, "id": "32f200d5-0187-4211-b9f3-1c2445d8ec54", "metadata": {}, "outputs": [], "source": [ "red_laser = {'states':(g,e), 'rabi_frequency':2*np.pi*0.6, 'detuning':0}\n", "blue_laser = {'states':(e,r1), 'rabi_frequency':2*np.pi*1.0, 'detuning': 0}\n", "rf_transition = {'states':(r1,r2), 'rabi_frequency':rf_rabi, 'time_dependence': sig_and_LO(omega_0, delta, beta )}\n", "RbSensor_time.add_couplings(red_laser, blue_laser, rf_transition)" ] }, { "cell_type": "markdown", "id": "489d0760", "metadata": {}, "source": [ "### Inital conditions\n", "If the `init_cond` argument is not supplied to `rq.solve_time`, it will calculate the initial condition based on the steady-state solution of the supplied sensor with the $t=0$ time-dependant field values. Since we define our incoming field and LO in a single function, we will likely end up with a sizeable transient if we use this approach if the $t=0$ value happens to be 0. This is now a great opportunity to demonstrate how to supply an initial condition manually. We calculate our initial condition using the solution to the **steady-state** sensor we defined above. Hopefully, this allows us to see the beat oscillation around the steady-state solution without a large transient from introducing our LO and rf field at the same time.\n", "\n", "Solving is done the same way as before, this time solving for 250 points over 10 microseconds" ] }, { "cell_type": "code", "execution_count": 16, "id": "e328dada", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(250, 15)\n" ] } ], "source": [ "RbSensor_ss.add_couplings(blue_laser)\n", "sol_init = rq.solve_steady_state(RbSensor_ss)\n", "\n", "sample_num=250\n", "end_time = 10\n", "\n", "time_sol_beat = rq.solve_time(RbSensor_time, end_time, sample_num, init_cond=sol_init.rho)\n", "\n", "print(time_sol_beat.rho.shape)" ] }, { "cell_type": "markdown", "id": "5bf330b7", "metadata": {}, "source": [ "### Plotting the beat\n", "We now use the `get_transmission_coef()` function again to extract the transmission from the `(250,15)`-shaped solution to get a 250 element array we can plot against time. We can see that the system quickly settles into the expected beat frequency." ] }, { "cell_type": "code", "execution_count": 17, "id": "9045f3f4", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "transmission = time_sol_beat.rho[:,3]\n", "ax.plot(time_sol_beat.t, time_sol_beat.get_transmission_coef())\n", "ax.set_xlabel(\"time (us)\");\n", "ax.set_ylabel('transmission');" ] }, { "cell_type": "markdown", "id": "01d7ec29", "metadata": {}, "source": [ "We do have a bit of transient behavior at the start, but we can clearly see the expected beat frequency of 5Mrad/s $\\approx$ 800kHz. The transient behavior could be removed by modifying the time-dependence function to return the LO amplitude at $t=0$, since rydiqule uses the $t=0$ values of time-dependent functions when solving the initial-conditions." ] }, { "cell_type": "code", "execution_count": 18, "id": "d2b1e0b7", "metadata": {}, "outputs": [], "source": [ "def sig_and_LO_shifted(omega_0, delta, beta):\n", " def fun(t):\n", " return np.cos(omega_0*t)+beta*np.sin((omega_0+delta)*t) # note LO phase changed 90deg by changing from sin to cos\n", " return fun" ] }, { "cell_type": "code", "execution_count": 19, "id": "caad4a73", "metadata": {}, "outputs": [], "source": [ "rf_transition = {'states':(r1,r2), 'rabi_frequency':rf_rabi, 'time_dependence': sig_and_LO_shifted(omega_0, delta, beta )}\n", "RbSensor_time.add_couplings(rf_transition)\n", "time_sol_beat2 = rq.solve_time(RbSensor_time, end_time, sample_num, init_cond=sol_init.rho)" ] }, { "cell_type": "code", "execution_count": 20, "id": "75177c38", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "transmission = time_sol_beat2.rho[:,3]\n", "ax.plot(time_sol_beat2.t, time_sol_beat2.get_transmission_coef())\n", "ax.set_xlabel(\"time (us)\");\n", "ax.set_ylabel('transmission');" ] }, { "cell_type": "markdown", "id": "11d19b21-c281-41c7-b308-1aedb197e256", "metadata": {}, "source": [ "## RF Heterodyne in the Rotating Wave Approximation \n", "We move to a rotating frame by specifying an rf detuning, and writing the coupling in the complex rotating frame. This transformation will greatly speed up the time integration." ] }, { "cell_type": "code", "execution_count": 21, "id": "0b7ce798-73d4-4465-92f4-2513aec52be9", "metadata": {}, "outputs": [], "source": [ "def sig_LO_RWA(det, beta):\n", " def fun(t):\n", " return 1+beta*np.exp(1j*det*t)\n", " return fun\n", "\n", "red_laser = {'states':(g,e), 'rabi_frequency':2*np.pi*0.6, 'detuning':0}\n", "blue_laser = {'states':(e,r1), 'rabi_frequency':2*np.pi*1.0, 'detuning': 0}\n", "rf_transition = {'states':(r1,r2), 'rabi_frequency':rf_rabi, 'detuning':0, 'time_dependence': sig_LO_RWA(delta, beta )}\n", "RbSensor_time.add_couplings(red_laser, blue_laser, rf_transition)\n", "\n", "sol_init = rq.solve_steady_state(RbSensor_ss)" ] }, { "cell_type": "code", "execution_count": 22, "id": "e27a9822-22a7-447c-b274-dd36b7438e6d", "metadata": {}, "outputs": [], "source": [ "sample_num=250\n", "end_time = 10\n", "time_sol_beat = rq.solve_time(RbSensor_time, end_time, sample_num)" ] }, { "cell_type": "code", "execution_count": 23, "id": "61fc0b58-9350-4e4f-b429-7fe5b1fb9234", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(time_sol_beat.t, time_sol_beat.get_transmission_coef())\n", "ax.set_xlabel(\"time (us)\");\n", "ax.set_ylabel('transmission');\n" ] }, { "cell_type": "markdown", "id": "548cf715-6ef4-4afc-81db-f7dfcb3af5ef", "metadata": {}, "source": [ "## Find the optimum laser detuning with LO\n", "We again use the same sensor to look at the sensitivity of the sensor as a function of blue laser detuning. " ] }, { "cell_type": "markdown", "id": "ec7e7861", "metadata": {}, "source": [ "### Set up and solve `Sensor`" ] }, { "cell_type": "code", "execution_count": 24, "id": "6561ead7", "metadata": {}, "outputs": [], "source": [ "num_dets = 75\n", "detuning_list = np.linspace(-40,40,num_dets)\n", "pk_to_pk_result = np.zeros(num_dets)\n", "\n", "sample_num = 300\n", "end_time = 3\n", "blue_laser = {'states':(e,r1), 'rabi_frequency':2*np.pi*1.0, 'detuning': detuning_list}\n", "rf_transition = {'states':(r1,r2), 'rabi_frequency':rf_rabi, 'time_dependence': sig_and_LO(rf_freq*2*np.pi, 5, 0.01 )}\n", "RbSensor_time.add_couplings(blue_laser, rf_transition) #this replaces the old coupling\n", "\n", "time_sol = rq.solve_time(RbSensor_time, end_time, sample_num)" ] }, { "cell_type": "code", "execution_count": 25, "id": "cb4c55e0-3552-4857-acff-fdd10f178ef9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(75, 200)\n" ] } ], "source": [ "susceptibility = time_sol.rho[:,100:,3]\n", "print(susceptibility.shape)\n", "ptp_result = np.ptp(susceptibility, axis=-1)" ] }, { "cell_type": "markdown", "id": "9525b228-1c0c-44cd-8b6b-a488882ee8f2", "metadata": {}, "source": [ "### Plotting responsivity versus LO detuning" ] }, { "cell_type": "code", "execution_count": 26, "id": "c3218189", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Rydberg laser detuning (Mrad/s)')" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(detuning_list, ptp_result,'o-')\n", "ax.set_ylabel(\"responsivity (a.u)\")\n", "ax.set_xlabel(\"Rydberg laser detuning (Mrad/s)\")" ] }, { "cell_type": "markdown", "id": "973c1035-15e3-4ece-80b8-fd5b687bcd9e", "metadata": {}, "source": [ "This plot shows that, for maximum responsivity, the Rydberg (or probe) laser must be tuned to the side of an Autler-Townes peak, for maximum sensitivity" ] }, { "cell_type": "markdown", "id": "4cd19c04-737d-4678-b219-1d803d7efc7f", "metadata": {}, "source": [ "## Test the Linear Dynamic Range\n", "Example testing the linear dynamic range in Heterodyne" ] }, { "cell_type": "markdown", "id": "e1aef375", "metadata": { "tags": [] }, "source": [ "### Setting the laser parameters\n", "\n", "We will set the blue laser detuning to -8 MRad/s, which was roughly the optimal value from the plot above" ] }, { "cell_type": "code", "execution_count": 27, "id": "2f8b16c3", "metadata": {}, "outputs": [], "source": [ "blue_laser = {'states':(e,r1), 'rabi_frequency':2*np.pi*1.0, 'detuning': -8}\n", "RbSensor_time.add_couplings(blue_laser)" ] }, { "cell_type": "markdown", "id": "a75fe02f", "metadata": {}, "source": [ "### Solve parameters\n", "With the detuning set, we can set up everything we need for our scan, namely the solver parameters and list of amplitudes." ] }, { "cell_type": "code", "execution_count": 28, "id": "15dc6ec2", "metadata": {}, "outputs": [], "source": [ "num_Amps = 50\n", "amp_list = np.logspace(-6,0.2,num_Amps)\n", "sample_num = 300\n", "end_time = 3" ] }, { "cell_type": "markdown", "id": "4542903d", "metadata": {}, "source": [ "### Running the loop\n", "Now all that is left is get the value we want at each amplitude using a good old python `for` loop. This could be done with something like a `map()` function depending on your comfort level with python, but we will be explicit here." ] }, { "cell_type": "code", "execution_count": 29, "id": "38d9541c-aee6-4930-86fd-51abe832e2e6", "metadata": {}, "outputs": [], "source": [ "pk_to_pk_result = np.zeros(num_Amps)\n", "\n", "for idx, amp in enumerate(amp_list):\n", " #define and solve for rf input\n", " \n", " rf = sig_and_LO(2*np.pi*rf_freq, 5, amp)\n", " rf_transition = {'states':(r1,r2), 'rabi_frequency':rf_rabi, 'detuning':1, 'time_dependence': sig_LO_RWA(1, amp)}\n", " RbSensor_time.add_couplings(rf_transition)\n", " time_sol = rq.solve_time(RbSensor_time, end_time, sample_num, init_cond=sol_init.rho, atol=1e-7, rtol=1e-7)\n", " \n", " #calculate responsivity\n", " pk_to_pk_signal = np.ptp(time_sol.rho[100:,3])\n", " pk_to_pk_result[idx] = pk_to_pk_signal\n", " " ] }, { "cell_type": "markdown", "id": "3bd2421b", "metadata": {}, "source": [ "### Plotting the dynamic range" ] }, { "cell_type": "code", "execution_count": 30, "id": "17765844", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(amp_list, pk_to_pk_result,'o-')\n", "ax.set_ylabel(\"responsivity (a.u)\")\n", "ax.set_xlabel(\"Probe relative amplitude\")\n", "ax.set_xscale('log')\n", "ax.set_yscale('log')" ] }, { "cell_type": "code", "execution_count": 31, "id": "cbfe6285", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Rydiqule\n", " ================\n", " \n", "Rydiqule Version: 2.2.0.dev31+g00cba9d8.d20250823\n", "Installation Path: ~\\src\\rydiqule_public\\src\\rydiqule\n", "\n", " Dependencies\n", " ================\n", " \n", "NumPy Version: 2.2.5\n", "SciPy Version: 1.16.0\n", "Matplotlib Version: 3.10.0\n", "ARC Version: 3.9.0\n", "Python Version: 3.11.8\n", "Python Install Path: ~\\Miniconda3\\envs\\rq\n", "Platform Info: Windows (AMD64)\n", "CPU Count and Freq: 12 @ 3.60 GHz\n", "Total System Memory: 128 GB\n" ] } ], "source": [ "rq.about()" ] }, { "cell_type": "code", "execution_count": null, "id": "485696b7", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "RQ", "language": "python", "name": "rq" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.8" } }, "nbformat": 4, "nbformat_minor": 5 }