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More minor tweaks

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Karthik 2025-05-12 11:56:45 +02:00
parent 96d3639d87
commit 5a8b117e3e
2 changed files with 104 additions and 111 deletions
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3
Dipolar-Gas-Simulator/+Plotter/visualizeGSWavefunction.m
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@ -34,7 +34,8 @@ function visualizeGSWavefunction(folder_path, run_index)
n = abs(psi).^2;
%Plotting
figure(1);
fig = figure(1);
fig.WindowState = 'maximized';
clf
set(gcf,'Position', [100, 100, 1600, 900])
t = tiledlayout(2, 3, 'TileSpacing', 'compact', 'Padding', 'compact'); % 2x3 grid

212
Dipolar-Gas-Simulator/+Scripts/run_locally.m
View File

@ -556,7 +556,32 @@ Plotter.visualizeGSWavefunction(SaveDirectory, JobNumber)
SaveDirectory = './Results/Data_3D/PhaseDiagram/ImagTimePropagation/';
JobNumber = 0;
Plotter.visualizeGSWavefunction(SaveDirectory, JobNumber)
%%
%% Generate lists
% Set display format
format longG
% Generate the lists
list1 = linspace(1E5, 5E6, 25);
list2 = linspace(80, 105, 25);
% Convert to strings with no scientific notation
str_list1 = compose('%.0f', list1);
str_list2 = compose('%.2f', list2);
% Join as space-separated strings
row1 = strjoin(str_list1', ' ');
row2 = strjoin(str_list2', ' ');
% Display results
disp(row1)
disp(row2)
%% Use space-separated floating-point/integer values
SCATTERING_LENGTH_RANGE = "[80.00 81.04 82.08 83.12 84.17 85.21 86.25 87.29 88.33 89.38 90.42 91.46 92.50 93.54 94.58 95.62 96.67 97.71 98.75 99.79 100.83 101.88 102.92 103.96 105.00]";
NUM_ATOMS_LIST = "[100000 304167 508333 712500 916667 1120833 1325000 1529167 1733333 1937500 2141667 2345833 2550000 2754167 2958333 3162500 3366667 3570833 3775000 3979167 4183333 4387500 4591667 4795833 5000000]";
%% Explore the phase diagram
SCATTERING_LENGTH_RANGE = [91.46 92.50 93.54 94.58 95.62 96.67 97.71];
NUM_ATOMS_LIST = [100000 304167 508333 712500 916667 1120833 1325000 1529167 1733333 1937500 2141667 2345833 2550000 2754167 2958333 3162500 3366667 3570833 3775000 3979167 4183333 4387500 4591667 4795833 5000000];
@ -567,7 +592,7 @@ for i = 1:length(SCATTERING_LENGTH_RANGE)
for j = 1:length(NUM_ATOMS_LIST)
N = NUM_ATOMS_LIST(j);
SaveDirectory = sprintf('D:/Results/Data_3D/PhaseDiagram/aS_%.6e_theta_000_phi_000_N_%d', aS, N);
SaveDirectory = sprintf('D:/Results-Numerics/PhaseDiagram/ImagTimePropagation/aS_%.6e_theta_000_phi_000_N_%d', aS, N);
fprintf('Processing JobNumber %d: %s\n', JobNumber, SaveDirectory);
% Call the plotting function
@ -583,6 +608,81 @@ for i = 1:length(SCATTERING_LENGTH_RANGE)
end
end
%% Parameters that need to be run again
% Cell array of the input strings
strs = {
'aS_9.875000e+01_theta_000_phi_000_N_2958333'
'aS_9.562000e+01_theta_000_phi_000_N_4183333'
'aS_9.562000e+01_theta_000_phi_000_N_1325000'
'aS_9.458000e+01_theta_000_phi_000_N_508333'
'aS_9.458000e+01_theta_000_phi_000_N_5000000'
'aS_9.458000e+01_theta_000_phi_000_N_1937500'
'aS_9.354000e+01_theta_000_phi_000_N_4795833'
'aS_9.250000e+01_theta_000_phi_000_N_5000000'
'aS_9.250000e+01_theta_000_phi_000_N_4183333'
'aS_9.146000e+01_theta_000_phi_000_N_1937500'
'aS_8.833000e+01_theta_000_phi_000_N_2754167'
'aS_8.833000e+01_theta_000_phi_000_N_1325000'
'aS_8.729000e+01_theta_000_phi_000_N_3775000'
'aS_8.625000e+01_theta_000_phi_000_N_712500'
'aS_8.625000e+01_theta_000_phi_000_N_4795833'
'aS_8.625000e+01_theta_000_phi_000_N_3979167'
'aS_8.521000e+01_theta_000_phi_000_N_1937500'
'aS_8.208000e+01_theta_000_phi_000_N_3979167'
'aS_105_theta_000_phi_000_N_916667'
'aS_1.039600e+02_theta_000_phi_000_N_3366667'
'aS_1.008300e+02_theta_000_phi_000_N_3979167'
'aS_080_theta_000_phi_000_N_5000000'
};
% Extract values using regex
tokens = regexp(strs, 'aS_([0-9.e+-]+)_theta_000_phi_000_N_([0-9]+)', 'tokens');
% Convert to numeric array
pairs = cellfun(@(x) [str2double(x{1}), str2double(x{2})], [tokens{:}], 'UniformOutput', false);
pairs = vertcat(pairs{:});
% Sort by a_s (first column)
pairs = sortrows(pairs, 1);
% Display as a table
disp(array2table(pairs, 'VariableNames', {'a_s', 'N'}));
%% Phase diagram for untilted case
N = [1E5, 3.04E5, 5.08E5, 7.125E5, 9.16E5, 1.12E6, 1.325E6, 1.529E6, ...
1.733E6, 1.9375E6, 2.141E6, 2.345E6, 2.55E6, 2.75E6, 2.95E6, ...
3.1625E6, 3.367E6, 3.57E6, 3.775E6, 3.979E6, 4.183E6, 4.3875E6, ...
4.591E6, 4.795E6, 5E6];
as_UB = [88.33, 94.58, 95.62, 96.67, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, ...
97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71];
as_LB = [87.29, 93.54, 94.58, 95.62, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, ...
96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67];
% Filter only rows with non-NaN data
valid_idx = ~isnan(as_LB) & ~isnan(as_UB);
N_valid = N(valid_idx);
LB_valid = as_LB(valid_idx);
UB_valid = as_UB(valid_idx);
% Create shaded area between LB and UB
x_fill = [N_valid, fliplr(N_valid)];
y_fill = [LB_valid, fliplr(UB_valid)];
% Plot settings
figure(1);
set(gcf,'Position',[100 100 950 750])
fill(x_fill, y_fill, [0.8 0.8 1], 'EdgeColor', 'none'); % Light blue shade
% Axes settings
set(gca, 'XScale', 'log');
xlim([1E4, 1E7]);
ylim([79, 106]);
xlabel('Atom number', 'Interpreter', 'latex', 'FontSize', 16);
ylabel('Scattering length $a_s$ ($a_0$)', 'Interpreter', 'latex', 'FontSize', 16);
grid on;
set(gca,'FontSize',16,'Box','On','Linewidth',2);
%% Visualize phase diagram
load('./Results/Data_3D/GradientDescent/phase_diagram_matrix_theta_30.mat')
PhaseDiagramMatrix = M;
@ -642,111 +742,3 @@ if ModulationFlag
else
disp('The state is not modulated');
end
%% Generate lists
% Set display format
format longG
% Generate the lists
list1 = linspace(1E5, 5E6, 25);
list2 = linspace(80, 105, 25);
% Convert to strings with no scientific notation
str_list1 = compose('%.0f', list1);
str_list2 = compose('%.2f', list2);
% Join as space-separated strings
row1 = strjoin(str_list1', ' ');
row2 = strjoin(str_list2', ' ');
% Display results
disp(row1)
disp(row2)
%% Use space-separated floating-point/integer values
SCATTERING_LENGTH_RANGE = "[80.00 81.04 82.08 83.12 84.17 85.21 86.25 87.29 88.33 89.38 90.42 91.46 92.50 93.54 94.58 95.62 96.67 97.71 98.75 99.79 100.83 101.88 102.92 103.96 105.00]";
NUM_ATOMS_LIST = "[100000 304167 508333 712500 916667 1120833 1325000 1529167 1733333 1937500 2141667 2345833 2550000 2754167 2958333 3162500 3366667 3570833 3775000 3979167 4183333 4387500 4591667 4795833 5000000]";
%% Phase diagram for untilted case
N = [1E5, 3.04E5, 5.08E5, 7.125E5, 9.16E5, 1.12E6, 1.325E6, 1.529E6, ...
1.733E6, 1.9375E6, 2.141E6, 2.345E6, 2.55E6, 2.75E6, 2.95E6, ...
3.1625E6, 3.367E6, 3.57E6, 3.775E6, 3.979E6, 4.183E6, 4.3875E6, ...
4.591E6, 4.795E6, 5E6];
as_UB = [88.33, 94.58, 95.62, 96.67, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, ...
97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71, 97.71];
as_LB = [87.29, 93.54, 94.58, 95.62, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, ...
96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67, 96.67];
% Filter only rows with non-NaN data
valid_idx = ~isnan(as_LB) & ~isnan(as_UB);
N_valid = N(valid_idx);
LB_valid = as_LB(valid_idx);
UB_valid = as_UB(valid_idx);
% Create shaded area between LB and UB
x_fill = [N_valid, fliplr(N_valid)];
y_fill = [LB_valid, fliplr(UB_valid)];
% Plot settings
figure(1);
set(gcf,'Position',[100 100 950 750])
fill(x_fill, y_fill, [0.8 0.8 1], 'EdgeColor', 'none'); % Light blue shade
% Axes settings
set(gca, 'XScale', 'log');
xlim([1E4, 1E7]);
ylim([79, 106]);
xlabel('Atom number', 'Interpreter', 'latex', 'FontSize', 16);
ylabel('Scattering length $a_s$ ($a_0$)', 'Interpreter', 'latex', 'FontSize', 16);
grid on;
set(gca,'FontSize',16,'Box','On','Linewidth',2);
%%
function ModulationFlag = determineDensityModulation(psi, Params, Transf)
% Axes scaling and coordinates in micrometers
x = Transf.x * Params.l0 * 1e6;
dx = x(2)-x(1);
% Compute probability density |psi|^2
n = abs(psi).^2;
nyz = squeeze(trapz(n*dx,1));
densityProfile = sum(nyz,2);
% We need to first smoothen the density profile and subtract the smoothened profile from the
% original density profile to -
% 1. Remove the dominant low-frequency content.
% 2. Isolate the high-frequency components (like a sinusoidal modulation).
% FFT of the residual then highlights the periodic part, making the
% modulation easy to detect.
% Step 1: Smooth the density profile (Gaussian smoothing)
smoothedProfile = smooth(densityProfile, 10);
% Step 2: Compute the residual (original - smoothed)
residual = densityProfile - smoothedProfile;
% Step 3: Compute the Fourier Transform of the residual
N = length(residual);
Y = fft(residual);
P2 = abs(Y/N); % Two-sided spectrum
P1 = P2(1:N/2+1); % Single-sided spectrum
P1(2:end-1) = 2*P1(2:end-1); % Correct for the energy in the negative frequencies
P1 = P1(15:end);
% Step 4: Check for significant peaks in the Fourier spectrum
% We check if the peak frequency is above a certain threshold
threshold = 500; % This can be adjusted based on the expected modulation strength
peakValue = max(P1);
if peakValue > threshold
ModulationFlag = true; % Indicates sinusoidal modulation
else
ModulationFlag = false; % Indicates otherwise
end
end