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New script to determine where the transition to stripes happens when tilting the dipole moments.

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Karthik 2025-01-31 19:54:53 +01:00
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commit 58fc2dae02
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Dipolar-Gas-Simulator/+Scripts/run_on_cluster_transition_angle.m Normal file
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%% Tilting of the dipoles
% System size = [5 * l_rot, 5 * l_rot]
theta_values = 1:1:14;
%% 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];
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 = 2E6; % 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; % 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 = [70.52, 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];
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 = 2E6; % 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; % 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 = [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];
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 = 2E6; % 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; % 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 = [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];
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 = 2E6; % 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; % 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