Correct way to determine the wavenumber axes and calculate the lattice vectors now established, appropriate changes made elsewhere.
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@ -105,7 +105,7 @@ function [contrast, periodX, periodY] = analyzeGSWavefunction(folder_path, run_i
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cbar1.Label.Interpreter = 'latex';
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colormap(gca, 'jet')
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hold on;
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plot(freq_x*Params.l0, freq_y*Params.l0, 'ro', 'MarkerSize', 10, 'LineWidth', 2);
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plot(2*pi*freq_x*Params.l0, 2*pi*freq_y*Params.l0, 'ro', 'MarkerSize', 10, 'LineWidth', 2);
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hold off;
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xlabel('$k_x l_o$', 'Interpreter', 'latex', 'FontSize', 14)
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ylabel('$k_y l_o$', 'Interpreter', 'latex', 'FontSize', 14)
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@ -0,0 +1,118 @@
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function [contrast, periodX, periodY] = analyzeGSWavefunction(folder_path, run_index)
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set(0,'defaulttextInterpreter','latex')
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set(groot, 'defaultAxesTickLabelInterpreter','latex'); set(groot, 'defaultLegendInterpreter','latex');
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% Load data
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Data = load(sprintf(horzcat(folder_path, '/Run_%03i/psi_gs.mat'),run_index),'psi','Transf','Observ','Params','VParams');
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Transf = Data.Transf;
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Observ = Data.Observ;
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Params = Data.Params;
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VParams = Data.VParams;
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if isgpuarray(Data.psi)
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psi = gather(Data.psi);
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else
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psi = Data.psi;
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end
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if isgpuarray(Data.Observ.residual)
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Observ.residual = gather(Data.Observ.residual);
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else
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Observ.residual = Data.Observ.residual;
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end
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% Set long format for output
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format long
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% Coordinates in micrometers
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x = Transf.x * Params.l0;
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y = Transf.y * Params.l0;
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% Compute probability density |psi|^2
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nxy = abs(psi).^2;
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nxyScaled = nxy*(Params.add*10^6)^2;
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%------------------ Calculate contrast ------------------ %
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% Find unique maximum intensity values
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uniqueMaxValues = unique(nxyScaled(nxyScaled == max(nxyScaled(:))));
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if length(uniqueMaxValues) > 1
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maxIntensity = median(uniqueMaxValues); % Choose the median of max values
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else
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maxIntensity = uniqueMaxValues; % If only one, take the unique value
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end
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% Find unique minimum intensity values
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uniqueMinValues = unique(nxyScaled(nxyScaled == min(nxyScaled(:))));
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if length(uniqueMinValues) > 1
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minIntensity = median(uniqueMinValues); % Choose the median of min values
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else
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minIntensity = uniqueMinValues; % If only one, take the unique value
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end
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contrast = (maxIntensity - minIntensity) / (maxIntensity + minIntensity);
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%------------------ Lattice Properties ------------------ %
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[kx, ky, fftMagnitude, lattice_type, periodX, periodY, freq_x, freq_y] = Scripts.extractLatticeProperties(nxyScaled, x, y);
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%------------------ Plotting ------------------ %
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figure('Position', [100, 100, 1600, 800]);
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clf
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t = tiledlayout(1, 2, 'TileSpacing', 'compact', 'Padding', 'compact'); % 2x3 grid
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% Plot |psi(x,y)|^2 (density in x and y plane)
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nexttile; % Equivalent to subplot('Position', [0.05, 0.55, 0.28, 0.4]);
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plotxy = pcolor(x/Params.l0,y/Params.l0,nxyScaled');
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set(plotxy, 'EdgeColor', 'none');
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cbar1 = colorbar;
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cbar1.Label.Interpreter = 'latex';
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colormap(gca, Helper.Colormaps.plasma())
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% clim(ax1,[0.00,0.3]);
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%{
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% Define normalized positions (relative to axis limits)
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x_offset = 0.025; % 5% offset from the edges
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y_offset = 0.025; % 5% offset from the edges
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% Top-left corner (normalized axis coordinates)
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text(0 + x_offset, 1 - y_offset, lattice_type, ...
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'Color', 'white', 'FontWeight', 'bold', 'Interpreter', 'tex', 'FontSize', 30, 'Units', 'normalized', 'HorizontalAlignment', 'left', 'VerticalAlignment', 'top');
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% Top-right corner (normalized axis coordinates)
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text(1 - x_offset, 1 - y_offset, ['C: ', num2str(contrast, '%.3f')], ...
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'Color', 'white', 'FontWeight', 'bold', 'Interpreter', 'tex', 'FontSize', 30, 'Units', 'normalized', 'HorizontalAlignment', 'right', 'VerticalAlignment', 'top');
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% Bottom-left corner (normalized axis coordinates)
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text(0 + x_offset, 0 + y_offset, ['dx: ', num2str(periodX, '%.2f'), ' \mum'], ...
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'Color', 'white', 'FontWeight', 'bold', 'Interpreter', 'tex', 'FontSize', 30, 'Units', 'normalized', 'HorizontalAlignment', 'left', 'VerticalAlignment', 'bottom');
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% Bottom-right corner (normalized axis coordinates)
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text(1 - x_offset, 0 + y_offset, ['dy: ', num2str(periodY, '%.2f'), ' \mum'], ...
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'Color', 'white', 'FontWeight', 'bold', 'Interpreter', 'tex', 'FontSize', 30, 'Units', 'normalized', 'HorizontalAlignment', 'right', 'VerticalAlignment', 'bottom');
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%}
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ylabel(cbar1,'$na_{dd}^2$','FontSize',16,'Rotation',270)
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xlabel('$x$ ($\mu$m)', 'Interpreter', 'latex', 'FontSize', 14)
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ylabel('$y$ ($\mu$m)', 'Interpreter', 'latex', 'FontSize', 14)
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title('$|\Psi(x,y)|^2$ ', 'Interpreter', 'latex', 'FontSize', 14)
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% Plot 2-D FFT with detected peaks
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nexttile; % Equivalent to subplot('Position', [0.05, 0.55, 0.28, 0.4]);
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imagesc(kx*Params.l0,ky*Params.l0, log(1 + fftMagnitude));
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cbar1 = colorbar;
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cbar1.Label.Interpreter = 'latex';
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colormap(gca, 'jet')
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%{
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hold on;
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plot(freq_x*Params.l0, freq_y*Params.l0, 'ro', 'MarkerSize', 10, 'LineWidth', 2);
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hold off;
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%}
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xlabel('$k_x l_o$', 'Interpreter', 'latex', 'FontSize', 14)
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ylabel('$k_y l_o$', 'Interpreter', 'latex', 'FontSize', 14)
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title('$\mathcal{F}\{|\Psi(x,y)|^2\}$', 'Interpreter', 'latex', 'FontSize', 16);
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sgtitle(['$[\omega_x, \omega_y, \omega_z] = 2 \pi~\times$ [', num2str(round(Params.wx/(2*pi)), '%.2f'), ', ', num2str(round(Params.wy/(2*pi)), '%.2f'), ', ', num2str(round(Params.wz/(2*pi)), '%.2f'), '] Hz; $\theta = $', num2str(rad2deg(Params.theta), '%.2f'), '$^\circ$'], 'Interpreter', 'latex', 'FontSize', 18, 'FontWeight', 'bold')
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end
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@ -18,17 +18,29 @@ function [kx, ky, fftMagnitude, lattice_type, dx_um, dy_um, freq_x, freq_y] = ex
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F = fft2(double(I));
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fftMagnitude = abs(fftshift(F))'; % Shift zero frequency to center
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% Calculate wavenumber increment (frequency axes)
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Nx = length(x);
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Ny = length(y);
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dx = mean(diff(x));
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dy = mean(diff(y));
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dkx = 1 / (Nx * dx); % Increment in the X direction (in micrometers^-1)
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dky = 1 / (Ny * dy); % Increment in the Y direction (in micrometers^-1)
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% Calculate frequency increment (frequency axes)
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Nx = length(x); % grid size along X
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Ny = length(y); % grid size along Y
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dx = mean(diff(x)); % real space increment in the X direction (in micrometers)
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dy = mean(diff(y)); % real space increment in the Y direction (in micrometers)
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dvx = 1 / (Nx * dx); % reciprocal space increment in the X direction (in micrometers^-1)
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dvy = 1 / (Ny * dy); % reciprocal space increment in the Y direction (in micrometers^-1)
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% Create the wavenumber axes
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kx = (-Nx/2:Nx/2-1) * dkx; % Wavenumber axis in X (micrometers^-1)
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ky = (-Ny/2:Ny/2-1) * dky; % Wavenumber axis in Y (micrometers^-1)
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% Create the frequency axes
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vx = (-Nx/2:Nx/2-1) * dvx; % Frequency axis in X (micrometers^-1)
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vy = (-Ny/2:Ny/2-1) * dvy; % Frequency axis in Y (micrometers^-1)
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% Calculate maximum frequencies
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% kx_max = pi / dx;
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% ky_max = pi / dy;
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% Generate reciprocal axes
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% kx = linspace(-kx_max, kx_max * (Nx-2)/Nx, Nx);
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% ky = linspace(-ky_max, ky_max * (Ny-2)/Ny, Ny);
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% Create the Wavenumber axes
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kx = 2*pi*vx; % Wavenumber axis in X
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ky = 2*pi*vy; % Wavenumber axis in Y
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% Find peaks in Fourier domain
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peak_mask = imregionalmax(fftMagnitude); % Detect local maxima
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@ -39,8 +51,8 @@ function [kx, ky, fftMagnitude, lattice_type, dx_um, dy_um, freq_x, freq_y] = ex
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[rows, cols] = find(peak_mask);
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% Convert indices to frequency values
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freq_x = kx(cols);
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freq_y = ky(rows);
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freq_x = vx(cols);
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freq_y = vy(rows);
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distances = sqrt(freq_x.^2 + freq_y.^2);
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% Remove DC component (center peak)
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@ -128,7 +140,7 @@ function [kx, ky, fftMagnitude, lattice_type, dx_um, dy_um, freq_x, freq_y] = ex
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else
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% If reciprocal vectors are not collinear, compute the 2D real-space lattice
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real_lattice_vectors = inv(reciprocal_lattice_vectors');
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real_lattice_vectors = inv(reciprocal_lattice_vectors'); % If vx, vy are used, no need to multiply by 2*pi (crystallographic convention); If kx, ky are used, need to multiply by 2*pi (physics convention)
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end
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% Ensure correct orientation
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@ -251,53 +251,58 @@ Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/AdjustedSystemSize/Hz500';
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JobNumber = 2;
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JobNumber = 1;
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% Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
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[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/AdjustedSystemSize/Hz750';
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JobNumber = 2;
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JobNumber = 1;
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% Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
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[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/AdjustedSystemSize/Hz1000';
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JobNumber = 2;
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JobNumber = 1;
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% Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
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[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/AdjustedSystemSize/Hz2000';
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JobNumber = 2;
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JobNumber = 1;
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% Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
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[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle/Hz500';
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NumberOfJobs = 16;
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SaveOption = 'images';
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SaveOption = 'video';
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[contrast_array, periodX_array, periodY_array] = Scripts.analyzeGSWavefunction_multipleruns(SaveDirectory, NumberOfJobs, SaveOption);
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle/Hz750';
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NumberOfJobs = 16;
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SaveOption = 'images';
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SaveOption = 'video';
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[contrast_array, periodX_array, periodY_array] = Scripts.analyzeGSWavefunction_multipleruns(SaveDirectory, NumberOfJobs, SaveOption);
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle/Hz1000';
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NumberOfJobs = 16;
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SaveOption = 'images';
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SaveOption = 'video';
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[contrast_array, periodX_array, periodY_array] = Scripts.analyzeGSWavefunction_multipleruns(SaveDirectory, NumberOfJobs, SaveOption);
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle/Hz2000';
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NumberOfJobs = 16;
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SaveOption = 'images';
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SaveOption = 'video';
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[contrast_array, periodX_array, periodY_array] = Scripts.analyzeGSWavefunction_multipleruns(SaveDirectory, NumberOfJobs, SaveOption);
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle_newruns/Hz1000';
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JobNumber = 0;
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% Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
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[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
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%% - Analysis
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SaveDirectory = './Results/Data_TiltingOfDipoles/HarmonicTrap/Hz500';
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JobNumber = 1;
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% Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
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[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction(SaveDirectory, JobNumber);
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[contrast, period_X, period_Y] = Scripts.analyzeGSWavefunction_in_plane_trap(SaveDirectory, JobNumber);
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@ -10,20 +10,20 @@ OptionsStruct.DipolarPolarAngle = 0;
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OptionsStruct.DipolarAzimuthAngle = 0;
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OptionsStruct.ScatteringLength = 70.00;
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OptionsStruct.TrapFrequencies = [50, 50, 500];
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OptionsStruct.TrapFrequencies = [100, 100, 500];
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OptionsStruct.TrapPotentialType = 'Harmonic';
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OptionsStruct.NumberOfGridPoints = [256, 256];
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OptionsStruct.Dimensions = [35, 35];
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OptionsStruct.TimeStepSize = 0.005; % in s
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OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
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OptionsStruct.TimeCutOff = 1E6; % in s
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OptionsStruct.TimeCutOff = 2E6; % in s
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OptionsStruct.EnergyTolerance = 5E-10;
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OptionsStruct.ResidualTolerance = 1E-05;
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OptionsStruct.NoiseScaleFactor = 0.05;
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OptionsStruct.MaxIterations = 10;
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OptionsStruct.VariationalWidth = 1.5;
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OptionsStruct.VariationalWidth = 1.2;
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OptionsStruct.WidthLowerBound = 0.01;
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OptionsStruct.WidthUpperBound = 12;
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OptionsStruct.WidthCutoff = 5e-3;
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@ -52,20 +52,20 @@ OptionsStruct.DipolarPolarAngle = deg2rad(15);
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OptionsStruct.DipolarAzimuthAngle = 0;
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OptionsStruct.ScatteringLength = 71.00;
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OptionsStruct.TrapFrequencies = [50, 50, 500];
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OptionsStruct.TrapFrequencies = [100, 100, 500];
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OptionsStruct.TrapPotentialType = 'Harmonic';
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OptionsStruct.NumberOfGridPoints = [256, 256];
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OptionsStruct.Dimensions = [35, 35];
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OptionsStruct.TimeStepSize = 0.005; % in s
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OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
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OptionsStruct.TimeCutOff = 1E6; % in s
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OptionsStruct.TimeCutOff = 2E6; % in s
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OptionsStruct.EnergyTolerance = 5E-10;
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OptionsStruct.ResidualTolerance = 1E-05;
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OptionsStruct.NoiseScaleFactor = 0.05;
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OptionsStruct.MaxIterations = 10;
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OptionsStruct.VariationalWidth = 1.5;
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OptionsStruct.VariationalWidth = 1.2;
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OptionsStruct.WidthLowerBound = 0.01;
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OptionsStruct.WidthUpperBound = 12;
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OptionsStruct.WidthCutoff = 5e-3;
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@ -84,3 +84,255 @@ solver.Potential = pot.trap();
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%-% Run Solver %-%
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[Params, Transf, psi, V, VDk] = solver.run();
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%% v_z = 750, theta = 0
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OptionsStruct = struct;
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OptionsStruct.NumberOfAtoms = 61250;
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OptionsStruct.DipolarPolarAngle = 0;
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OptionsStruct.DipolarAzimuthAngle = 0;
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OptionsStruct.ScatteringLength = 64.0;
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OptionsStruct.TrapFrequencies = [100, 100, 750];
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OptionsStruct.TrapPotentialType = 'Harmonic';
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OptionsStruct.NumberOfGridPoints = [256, 256];
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OptionsStruct.Dimensions = [35, 35];
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OptionsStruct.TimeStepSize = 0.005; % in s
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OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
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OptionsStruct.TimeCutOff = 1E5; % in s
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OptionsStruct.EnergyTolerance = 5E-10;
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OptionsStruct.ResidualTolerance = 1E-05;
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OptionsStruct.NoiseScaleFactor = 0.05;
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OptionsStruct.MaxIterations = 10;
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OptionsStruct.VariationalWidth = 0.8;
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OptionsStruct.WidthLowerBound = 0.01;
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OptionsStruct.WidthUpperBound = 12;
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OptionsStruct.WidthCutoff = 5e-3;
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OptionsStruct.PlotLive = false;
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OptionsStruct.JobNumber = 0;
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OptionsStruct.RunOnGPU = true;
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OptionsStruct.SaveData = true;
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OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/HarmonicTrap/Hz750';
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options = Helper.convertstruct2cell(OptionsStruct);
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clear OptionsStruct
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solver = VariationalSolver2D.DipolarGas(options{:});
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pot = VariationalSolver2D.Potentials(options{:});
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solver.Potential = pot.trap();
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%-% Run Solver %-%
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[Params, Transf, psi, V, VDk] = solver.run();
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%% v_z = 750, theta = 15
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OptionsStruct = struct;
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OptionsStruct.NumberOfAtoms = 61250;
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OptionsStruct.DipolarPolarAngle = deg2rad(15);
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OptionsStruct.DipolarAzimuthAngle = 0;
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OptionsStruct.ScatteringLength = 64.0;
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OptionsStruct.TrapFrequencies = [100, 100, 750];
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OptionsStruct.TrapPotentialType = 'Harmonic';
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OptionsStruct.NumberOfGridPoints = [256, 256];
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OptionsStruct.Dimensions = [35, 35];
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OptionsStruct.TimeStepSize = 0.005; % in s
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OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
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OptionsStruct.TimeCutOff = 1E5; % in s
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OptionsStruct.EnergyTolerance = 5E-10;
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OptionsStruct.ResidualTolerance = 1E-05;
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OptionsStruct.NoiseScaleFactor = 0.05;
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OptionsStruct.MaxIterations = 10;
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OptionsStruct.VariationalWidth = 0.8;
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OptionsStruct.WidthLowerBound = 0.01;
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OptionsStruct.WidthUpperBound = 12;
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OptionsStruct.WidthCutoff = 5e-3;
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OptionsStruct.PlotLive = false;
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OptionsStruct.JobNumber = 1;
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OptionsStruct.RunOnGPU = true;
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OptionsStruct.SaveData = true;
|
||||
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/HarmonicTrap/Hz750';
|
||||
options = Helper.convertstruct2cell(OptionsStruct);
|
||||
clear OptionsStruct
|
||||
|
||||
solver = VariationalSolver2D.DipolarGas(options{:});
|
||||
pot = VariationalSolver2D.Potentials(options{:});
|
||||
solver.Potential = pot.trap();
|
||||
|
||||
%-% Run Solver %-%
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
|
||||
%% v_z = 1000, theta = 0
|
||||
|
||||
OptionsStruct = struct;
|
||||
|
||||
OptionsStruct.NumberOfAtoms = 45000;
|
||||
OptionsStruct.DipolarPolarAngle = 0;
|
||||
OptionsStruct.DipolarAzimuthAngle = 0;
|
||||
OptionsStruct.ScatteringLength = 59.0;
|
||||
|
||||
OptionsStruct.TrapFrequencies = [100, 100, 1000];
|
||||
OptionsStruct.TrapPotentialType = 'Harmonic';
|
||||
|
||||
OptionsStruct.NumberOfGridPoints = [256, 256];
|
||||
OptionsStruct.Dimensions = [35, 35];
|
||||
OptionsStruct.TimeStepSize = 0.005; % in s
|
||||
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
|
||||
OptionsStruct.TimeCutOff = 1E5; % in s
|
||||
OptionsStruct.EnergyTolerance = 5E-10;
|
||||
OptionsStruct.ResidualTolerance = 1E-05;
|
||||
OptionsStruct.NoiseScaleFactor = 0.05;
|
||||
|
||||
OptionsStruct.MaxIterations = 10;
|
||||
OptionsStruct.VariationalWidth = 0.7;
|
||||
OptionsStruct.WidthLowerBound = 0.01;
|
||||
OptionsStruct.WidthUpperBound = 12;
|
||||
OptionsStruct.WidthCutoff = 5e-3;
|
||||
|
||||
OptionsStruct.PlotLive = false;
|
||||
OptionsStruct.JobNumber = 0;
|
||||
OptionsStruct.RunOnGPU = true;
|
||||
OptionsStruct.SaveData = true;
|
||||
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/HarmonicTrap/Hz1000';
|
||||
options = Helper.convertstruct2cell(OptionsStruct);
|
||||
clear OptionsStruct
|
||||
|
||||
solver = VariationalSolver2D.DipolarGas(options{:});
|
||||
pot = VariationalSolver2D.Potentials(options{:});
|
||||
solver.Potential = pot.trap();
|
||||
|
||||
%-% Run Solver %-%
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
|
||||
%% v_z = 1000, theta = 15
|
||||
|
||||
OptionsStruct = struct;
|
||||
|
||||
OptionsStruct.NumberOfAtoms = 45000;
|
||||
OptionsStruct.DipolarPolarAngle = deg2rad(15);
|
||||
OptionsStruct.DipolarAzimuthAngle = 0;
|
||||
OptionsStruct.ScatteringLength = 60.0;
|
||||
|
||||
OptionsStruct.TrapFrequencies = [100, 100, 1000];
|
||||
OptionsStruct.TrapPotentialType = 'Harmonic';
|
||||
|
||||
OptionsStruct.NumberOfGridPoints = [256, 256];
|
||||
OptionsStruct.Dimensions = [35, 35];
|
||||
OptionsStruct.TimeStepSize = 0.005; % in s
|
||||
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
|
||||
OptionsStruct.TimeCutOff = 1E5; % in s
|
||||
OptionsStruct.EnergyTolerance = 5E-10;
|
||||
OptionsStruct.ResidualTolerance = 1E-05;
|
||||
OptionsStruct.NoiseScaleFactor = 0.05;
|
||||
|
||||
OptionsStruct.MaxIterations = 10;
|
||||
OptionsStruct.VariationalWidth = 0.7;
|
||||
OptionsStruct.WidthLowerBound = 0.01;
|
||||
OptionsStruct.WidthUpperBound = 12;
|
||||
OptionsStruct.WidthCutoff = 5e-3;
|
||||
|
||||
OptionsStruct.PlotLive = false;
|
||||
OptionsStruct.JobNumber = 1;
|
||||
OptionsStruct.RunOnGPU = true;
|
||||
OptionsStruct.SaveData = true;
|
||||
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/HarmonicTrap/Hz1000';
|
||||
options = Helper.convertstruct2cell(OptionsStruct);
|
||||
clear OptionsStruct
|
||||
|
||||
solver = VariationalSolver2D.DipolarGas(options{:});
|
||||
pot = VariationalSolver2D.Potentials(options{:});
|
||||
solver.Potential = pot.trap();
|
||||
|
||||
%-% Run Solver %-%
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
|
||||
%% v_z = 2000, theta = 0
|
||||
|
||||
OptionsStruct = struct;
|
||||
|
||||
OptionsStruct.NumberOfAtoms = 31250;
|
||||
OptionsStruct.DipolarPolarAngle = 0;
|
||||
OptionsStruct.DipolarAzimuthAngle = 0;
|
||||
OptionsStruct.ScatteringLength = 47;
|
||||
|
||||
OptionsStruct.TrapFrequencies = [100, 100, 2000];
|
||||
OptionsStruct.TrapPotentialType = 'Harmonic';
|
||||
|
||||
OptionsStruct.NumberOfGridPoints = [256, 256];
|
||||
OptionsStruct.Dimensions = [35, 35];
|
||||
OptionsStruct.TimeStepSize = 0.005; % in s
|
||||
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
|
||||
OptionsStruct.TimeCutOff = 1E5; % in s
|
||||
OptionsStruct.EnergyTolerance = 5E-10;
|
||||
OptionsStruct.ResidualTolerance = 1E-05;
|
||||
OptionsStruct.NoiseScaleFactor = 0.05;
|
||||
|
||||
OptionsStruct.MaxIterations = 10;
|
||||
OptionsStruct.VariationalWidth = 0.5;
|
||||
OptionsStruct.WidthLowerBound = 0.01;
|
||||
OptionsStruct.WidthUpperBound = 12;
|
||||
OptionsStruct.WidthCutoff = 5e-3;
|
||||
|
||||
OptionsStruct.PlotLive = false;
|
||||
OptionsStruct.JobNumber = 0;
|
||||
OptionsStruct.RunOnGPU = true;
|
||||
OptionsStruct.SaveData = true;
|
||||
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/HarmonicTrap/Hz2000';
|
||||
options = Helper.convertstruct2cell(OptionsStruct);
|
||||
clear OptionsStruct
|
||||
|
||||
solver = VariationalSolver2D.DipolarGas(options{:});
|
||||
pot = VariationalSolver2D.Potentials(options{:});
|
||||
solver.Potential = pot.trap();
|
||||
|
||||
%-% Run Solver %-%
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
|
||||
%% v_z = 2000, theta = 15
|
||||
|
||||
OptionsStruct = struct;
|
||||
|
||||
OptionsStruct.NumberOfAtoms = 31250;
|
||||
OptionsStruct.DipolarPolarAngle = deg2rad(15);
|
||||
OptionsStruct.DipolarAzimuthAngle = 0;
|
||||
OptionsStruct.ScatteringLength = 48;
|
||||
|
||||
OptionsStruct.TrapFrequencies = [100, 100, 2000];
|
||||
OptionsStruct.TrapPotentialType = 'Harmonic';
|
||||
|
||||
OptionsStruct.NumberOfGridPoints = [256, 256];
|
||||
OptionsStruct.Dimensions = [35, 35];
|
||||
OptionsStruct.TimeStepSize = 0.005; % in s
|
||||
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
|
||||
OptionsStruct.TimeCutOff = 1E5; % in s
|
||||
OptionsStruct.EnergyTolerance = 5E-10;
|
||||
OptionsStruct.ResidualTolerance = 1E-05;
|
||||
OptionsStruct.NoiseScaleFactor = 0.05;
|
||||
|
||||
OptionsStruct.MaxIterations = 10;
|
||||
OptionsStruct.VariationalWidth = 0.5;
|
||||
OptionsStruct.WidthLowerBound = 0.01;
|
||||
OptionsStruct.WidthUpperBound = 12;
|
||||
OptionsStruct.WidthCutoff = 5e-3;
|
||||
|
||||
OptionsStruct.PlotLive = false;
|
||||
OptionsStruct.JobNumber = 1;
|
||||
OptionsStruct.RunOnGPU = true;
|
||||
OptionsStruct.SaveData = true;
|
||||
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/HarmonicTrap/Hz2000';
|
||||
options = Helper.convertstruct2cell(OptionsStruct);
|
||||
clear OptionsStruct
|
||||
|
||||
solver = VariationalSolver2D.DipolarGas(options{:});
|
||||
pot = VariationalSolver2D.Potentials(options{:});
|
||||
solver.Potential = pot.trap();
|
||||
|
||||
%-% Run Solver %-%
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
@ -2,11 +2,11 @@
|
||||
% Atom Number = 1250 ppum
|
||||
% System size = [5 * l_rot, 5 * l_rot]
|
||||
|
||||
theta_values = 1:1:14;
|
||||
theta_values = 0:1:7;
|
||||
|
||||
%% v_z = 500
|
||||
|
||||
as_values_500 = [76.41, 76.54, 76.54, 76.54, 76.54, 76.67, 76.67, 76.80, 76.80, 76.93, 77.06, 77.06, 77.19, 77.32];
|
||||
as_values_500 = [76.408020791433103, 76.408020791433103, 76.538777583310534, 76.538777583310534, 76.538777583310534, 76.538777583310534, 76.669534375187951, 76.669534375187951];
|
||||
num_iterations = length(theta_values);
|
||||
|
||||
for i = 1:num_iterations
|
||||
@ -54,7 +54,7 @@ end
|
||||
|
||||
%% v_z = 750
|
||||
|
||||
as_values_750 = [70.52, 70.52, 70.52, 70.52, 70.52, 70.65, 70.65, 70.78, 70.79, 70.92, 71.05, 71.05, 71.18, 71.31, 71.44, 71.70];
|
||||
as_values_750 = [70.523965156949174, 70.523965156949174, 70.523965156949174, 70.523965156949174, 70.523965156949174, 70.654721948826605, 70.654721948826605, 70.785478740704022];
|
||||
num_iterations = length(theta_values);
|
||||
|
||||
for i = 1:num_iterations
|
||||
@ -102,7 +102,7 @@ end
|
||||
|
||||
%% v_z = 1000
|
||||
|
||||
as_values_1000 = [65.95, 65.95, 65.95, 65.95, 66.08, 66.08, 66.08, 66.21, 66.34, 66.34, 66.47, 66.60, 66.73, 66.86, 66.99, 67.26];
|
||||
as_values_1000 = [65.947477441239442, 65.947477441239442, 65.947477441239442, 65.947477441239442, 66.078234233116873, 66.078234233116873, 66.078234233116873, 66.208991024994290];
|
||||
num_iterations = length(theta_values);
|
||||
|
||||
for i = 1:num_iterations
|
||||
@ -150,7 +150,7 @@ end
|
||||
|
||||
%% v_z = 2000
|
||||
|
||||
as_values_2000 = [53.92, 53.92, 53.92, 54.05, 54.05, 54.05, 54.18, 54.31, 54.31, 54.44, 54.57, 54.70, 54.96, 55.1, 55.23, 55.49];
|
||||
as_values_2000 = [53.917852588516730, 53.917852588516730, 53.917852588516730, 54.048609380394161, 54.048609380394161, 54.048609380394161, 54.179366172271585, 54.310122964149002];
|
||||
num_iterations = length(theta_values);
|
||||
|
||||
for i = 1:num_iterations
|
||||
@ -195,3 +195,201 @@ for i = 1:num_iterations
|
||||
% Run Solver
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
end
|
||||
|
||||
%% Tilting of the dipoles
|
||||
% Atom Number = 1250 ppum
|
||||
% System size = [5 * l_rot, 5 * l_rot]
|
||||
|
||||
theta_values = 8:1:15;
|
||||
|
||||
%% v_z = 500
|
||||
|
||||
as_values_500 = [76.800291167065367, 76.800291167065367, 76.931047958942784, 77.061804750820215, 77.061804750820215, 77.192561542697632, 77.323318334575049, 77.454075126452480];
|
||||
num_iterations = length(theta_values);
|
||||
|
||||
for i = 1:num_iterations
|
||||
OptionsStruct = struct;
|
||||
|
||||
OptionsStruct.NumberOfAtoms = 101250;
|
||||
OptionsStruct.DipolarPolarAngle = deg2rad(theta_values(i));
|
||||
OptionsStruct.DipolarAzimuthAngle = 0;
|
||||
OptionsStruct.ScatteringLength = as_values_500(i);
|
||||
|
||||
OptionsStruct.TrapFrequencies = [0, 0, 500];
|
||||
OptionsStruct.TrapPotentialType = 'None';
|
||||
|
||||
OptionsStruct.NumberOfGridPoints = [128, 128];
|
||||
OptionsStruct.Dimensions = [9, 9];
|
||||
OptionsStruct.TimeStepSize = 0.005; % in s
|
||||
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
|
||||
OptionsStruct.TimeCutOff = 3E6; % in s
|
||||
OptionsStruct.EnergyTolerance = 5E-10;
|
||||
OptionsStruct.ResidualTolerance = 1E-05;
|
||||
OptionsStruct.NoiseScaleFactor = 0.05;
|
||||
|
||||
OptionsStruct.MaxIterations = 10;
|
||||
OptionsStruct.VariationalWidth = 1.2;
|
||||
OptionsStruct.WidthLowerBound = 0.01;
|
||||
OptionsStruct.WidthUpperBound = 12;
|
||||
OptionsStruct.WidthCutoff = 5e-3;
|
||||
|
||||
OptionsStruct.PlotLive = false;
|
||||
OptionsStruct.JobNumber = i-1; % Assign a unique JobNumber per iteration
|
||||
OptionsStruct.RunOnGPU = true;
|
||||
OptionsStruct.SaveData = true;
|
||||
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle/Hz500';
|
||||
|
||||
options = Helper.convertstruct2cell(OptionsStruct);
|
||||
clear OptionsStruct
|
||||
|
||||
solver = VariationalSolver2D.DipolarGas(options{:});
|
||||
pot = VariationalSolver2D.Potentials(options{:});
|
||||
solver.Potential = pot.trap();
|
||||
|
||||
% Run Solver
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
end
|
||||
|
||||
%% v_z = 750
|
||||
|
||||
as_values_750 = [70.785478740704022, 70.916235532581439, 71.046992324458870, 71.046992324458870, 71.177749116336287, 71.308505908213704, 71.439262700091120, 71.700776283845968];
|
||||
num_iterations = length(theta_values);
|
||||
|
||||
for i = 1:num_iterations
|
||||
OptionsStruct = struct;
|
||||
|
||||
OptionsStruct.NumberOfAtoms = 61250;
|
||||
OptionsStruct.DipolarPolarAngle = deg2rad(theta_values(i));
|
||||
OptionsStruct.DipolarAzimuthAngle = 0;
|
||||
OptionsStruct.ScatteringLength = as_values_750(i);
|
||||
|
||||
OptionsStruct.TrapFrequencies = [0, 0, 750];
|
||||
OptionsStruct.TrapPotentialType = 'None';
|
||||
|
||||
OptionsStruct.NumberOfGridPoints = [128, 128];
|
||||
OptionsStruct.Dimensions = [7, 7];
|
||||
OptionsStruct.TimeStepSize = 0.005; % in s
|
||||
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
|
||||
OptionsStruct.TimeCutOff = 3E6; % in s
|
||||
OptionsStruct.EnergyTolerance = 5E-10;
|
||||
OptionsStruct.ResidualTolerance = 1E-05;
|
||||
OptionsStruct.NoiseScaleFactor = 0.05;
|
||||
|
||||
OptionsStruct.MaxIterations = 10;
|
||||
OptionsStruct.VariationalWidth = 0.85;
|
||||
OptionsStruct.WidthLowerBound = 0.01;
|
||||
OptionsStruct.WidthUpperBound = 12;
|
||||
OptionsStruct.WidthCutoff = 5e-3;
|
||||
|
||||
OptionsStruct.PlotLive = false;
|
||||
OptionsStruct.JobNumber = i-1; % Assign a unique JobNumber per iteration
|
||||
OptionsStruct.RunOnGPU = true;
|
||||
OptionsStruct.SaveData = true;
|
||||
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle/Hz750';
|
||||
|
||||
options = Helper.convertstruct2cell(OptionsStruct);
|
||||
clear OptionsStruct
|
||||
|
||||
solver = VariationalSolver2D.DipolarGas(options{:});
|
||||
pot = VariationalSolver2D.Potentials(options{:});
|
||||
solver.Potential = pot.trap();
|
||||
|
||||
% Run Solver
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
end
|
||||
|
||||
%% v_z = 1000
|
||||
|
||||
as_values_1000 = [66.339747816871707, 66.339747816871707, 66.470504608749138, 66.601261400626555, 66.732018192503972, 66.862774984381389, 66.993531776258820, 67.255045360013654];
|
||||
num_iterations = length(theta_values);
|
||||
|
||||
for i = 1:num_iterations
|
||||
OptionsStruct = struct;
|
||||
|
||||
OptionsStruct.NumberOfAtoms = 45000;
|
||||
OptionsStruct.DipolarPolarAngle = deg2rad(theta_values(i));
|
||||
OptionsStruct.DipolarAzimuthAngle = 0;
|
||||
OptionsStruct.ScatteringLength = as_values_1000(i);
|
||||
|
||||
OptionsStruct.TrapFrequencies = [0, 0, 1000];
|
||||
OptionsStruct.TrapPotentialType = 'None';
|
||||
|
||||
OptionsStruct.NumberOfGridPoints = [128, 128];
|
||||
OptionsStruct.Dimensions = [6, 6];
|
||||
OptionsStruct.TimeStepSize = 0.005; % in s
|
||||
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
|
||||
OptionsStruct.TimeCutOff = 3E6; % in s
|
||||
OptionsStruct.EnergyTolerance = 5E-10;
|
||||
OptionsStruct.ResidualTolerance = 1E-05;
|
||||
OptionsStruct.NoiseScaleFactor = 0.05;
|
||||
|
||||
OptionsStruct.MaxIterations = 10;
|
||||
OptionsStruct.VariationalWidth = 0.7;
|
||||
OptionsStruct.WidthLowerBound = 0.01;
|
||||
OptionsStruct.WidthUpperBound = 12;
|
||||
OptionsStruct.WidthCutoff = 5e-3;
|
||||
|
||||
OptionsStruct.PlotLive = false;
|
||||
OptionsStruct.JobNumber = i-1; % Assign a unique JobNumber per iteration
|
||||
OptionsStruct.RunOnGPU = true;
|
||||
OptionsStruct.SaveData = true;
|
||||
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle/Hz1000';
|
||||
|
||||
options = Helper.convertstruct2cell(OptionsStruct);
|
||||
clear OptionsStruct
|
||||
|
||||
solver = VariationalSolver2D.DipolarGas(options{:});
|
||||
pot = VariationalSolver2D.Potentials(options{:});
|
||||
solver.Potential = pot.trap();
|
||||
|
||||
% Run Solver
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
end
|
||||
|
||||
%% v_z = 2000
|
||||
|
||||
as_values_2000 = [54.310122964149002, 54.440879756026426, 54.571636547903843, 54.702393339781267, 54.963906923536108, 55.094663715413525, 55.225420507290949, 55.486934091045789];
|
||||
num_iterations = length(theta_values);
|
||||
|
||||
for i = 1:num_iterations
|
||||
OptionsStruct = struct;
|
||||
|
||||
OptionsStruct.NumberOfAtoms = 31250;
|
||||
OptionsStruct.DipolarPolarAngle = deg2rad(theta_values(i));
|
||||
OptionsStruct.DipolarAzimuthAngle = 0;
|
||||
OptionsStruct.ScatteringLength = as_values_2000(i);
|
||||
|
||||
OptionsStruct.TrapFrequencies = [0, 0, 2000];
|
||||
OptionsStruct.TrapPotentialType = 'None';
|
||||
|
||||
OptionsStruct.NumberOfGridPoints = [128, 128];
|
||||
OptionsStruct.Dimensions = [5, 5];
|
||||
OptionsStruct.TimeStepSize = 0.005; % in s
|
||||
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
|
||||
OptionsStruct.TimeCutOff = 3E6; % in s
|
||||
OptionsStruct.EnergyTolerance = 5E-10;
|
||||
OptionsStruct.ResidualTolerance = 1E-05;
|
||||
OptionsStruct.NoiseScaleFactor = 0.05;
|
||||
|
||||
OptionsStruct.MaxIterations = 10;
|
||||
OptionsStruct.VariationalWidth = 0.5;
|
||||
OptionsStruct.WidthLowerBound = 0.01;
|
||||
OptionsStruct.WidthUpperBound = 12;
|
||||
OptionsStruct.WidthCutoff = 5e-3;
|
||||
|
||||
OptionsStruct.PlotLive = false;
|
||||
OptionsStruct.JobNumber = i-1; % Assign a unique JobNumber per iteration
|
||||
OptionsStruct.RunOnGPU = true;
|
||||
OptionsStruct.SaveData = true;
|
||||
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles/TransitionAngle/Hz2000';
|
||||
|
||||
options = Helper.convertstruct2cell(OptionsStruct);
|
||||
clear OptionsStruct
|
||||
|
||||
solver = VariationalSolver2D.DipolarGas(options{:});
|
||||
pot = VariationalSolver2D.Potentials(options{:});
|
||||
solver.Potential = pot.trap();
|
||||
|
||||
% Run Solver
|
||||
[Params, Transf, psi, V, VDk] = solver.run();
|
||||
end
|
||||
Loading…
Reference in New Issue
Block a user