Latest - identified parameter regime where solver returns meaningful results.

This commit is contained in:
Karthik 2025-01-28 18:05:37 +01:00
parent 59fa679549
commit 1d3cc0f70b
2 changed files with 393 additions and 9 deletions

View File

@ -240,13 +240,14 @@ Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)
% Atom Number = 1.00e+05 % Atom Number = 1.00e+05
% System size = [10, 10] % System size = [10, 10]
%% v_z = 500, theta = 0: a_s = 76.41 %% v_z = 500, theta = 45: a_s = 85.17
OptionsStruct = struct; OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05; OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = 0; OptionsStruct.DipolarPolarAngle = deg2rad(45);
OptionsStruct.DipolarAzimuthAngle = 0; OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 76.41; OptionsStruct.ScatteringLength = 75.00;
OptionsStruct.TrapFrequencies = [0, 0, 500]; OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None'; OptionsStruct.TrapPotentialType = 'None';
@ -255,19 +256,19 @@ OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10]; OptionsStruct.Dimensions = [10, 10];
OptionsStruct.TimeStepSize = 0.005; % in s OptionsStruct.TimeStepSize = 0.005; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 2E6; % in s OptionsStruct.TimeCutOff = 5E5; % in s
OptionsStruct.EnergyTolerance = 5E-10; OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-05; OptionsStruct.ResidualTolerance = 1E-05;
OptionsStruct.NoiseScaleFactor = 0.05; OptionsStruct.NoiseScaleFactor = 0.15;
OptionsStruct.MaxIterations = 10; OptionsStruct.MaxIterations = 10;
OptionsStruct.VariationalWidth = 2; OptionsStruct.VariationalWidth = 1;
OptionsStruct.WidthLowerBound = 1; OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12; OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3; OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = true; OptionsStruct.PlotLive = true;
OptionsStruct.JobNumber = 1; OptionsStruct.JobNumber = 4;
OptionsStruct.RunOnGPU = false; OptionsStruct.RunOnGPU = false;
OptionsStruct.SaveData = true; OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles'; OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
@ -280,3 +281,134 @@ solver.Potential = pot.trap();
%-% Run Solver %-% %-% Run Solver %-%
[Params, Transf, psi, V, VDk] = solver.run(); [Params, Transf, psi, V, VDk] = solver.run();
%% v_z = 500, theta = 65: a_s = 93.41
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = deg2rad(65);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 81.00;
OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10];
OptionsStruct.TimeStepSize = 0.0025; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 5E5; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-05;
OptionsStruct.NoiseScaleFactor = 0.15;
OptionsStruct.MaxIterations = 10;
OptionsStruct.VariationalWidth = 1;
OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = true;
OptionsStruct.JobNumber = 5;
OptionsStruct.RunOnGPU = false;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
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 = 500, theta = 75: a_s = 98.11
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = deg2rad(75);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 85.00;
OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10];
OptionsStruct.TimeStepSize = 0.001; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 5E5; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-05;
OptionsStruct.NoiseScaleFactor = 0.05;
OptionsStruct.MaxIterations = 10;
OptionsStruct.VariationalWidth = 1;
OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = true;
OptionsStruct.JobNumber = 6;
OptionsStruct.RunOnGPU = false;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
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 = 500, theta = 85: a_s = 102.56
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = deg2rad(85);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 90.00;
OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10];
OptionsStruct.TimeStepSize = 0.001; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 5E5; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-05;
OptionsStruct.NoiseScaleFactor = 0.05;
OptionsStruct.MaxIterations = 10;
OptionsStruct.VariationalWidth = 1;
OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = true;
OptionsStruct.JobNumber = 7;
OptionsStruct.RunOnGPU = false;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
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();
%% - Analysis
SaveDirectory = './Results/Data_TiltingOfDipoles';
JobNumber = 4;
Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber)

View File

@ -24,7 +24,7 @@ OptionsStruct.NoiseScaleFactor = 0.05;
OptionsStruct.MaxIterations = 10; OptionsStruct.MaxIterations = 10;
OptionsStruct.VariationalWidth = 2; OptionsStruct.VariationalWidth = 2;
OptionsStruct.WidthLowerBound = 1; OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12; OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3; OptionsStruct.WidthCutoff = 5e-3;
@ -42,3 +42,255 @@ solver.Potential = pot.trap();
%-% Run Solver %-% %-% Run Solver %-%
[Params, Transf, psi, V, VDk] = solver.run(); [Params, Transf, psi, V, VDk] = solver.run();
%% v_z = 500, theta = 15: a_s = 77.45
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = deg2rad(15);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 77.45;
OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10];
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 = 2;
OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = false;
OptionsStruct.JobNumber = 2;
OptionsStruct.RunOnGPU = true;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
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 = 500, theta = 25: a_s = 79.29
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = deg2rad(25);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 79.29;
OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10];
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 = 2;
OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = false;
OptionsStruct.JobNumber = 3;
OptionsStruct.RunOnGPU = true;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
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 = 500, theta = 45: a_s = 85.17
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = deg2rad(45);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 75.00;
OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10];
OptionsStruct.TimeStepSize = 0.005; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 5E5; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-05;
OptionsStruct.NoiseScaleFactor = 0.15;
OptionsStruct.MaxIterations = 10;
OptionsStruct.VariationalWidth = 1;
OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = false;
OptionsStruct.JobNumber = 4;
OptionsStruct.RunOnGPU = true;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
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 = 500, theta = 65: a_s = 93.41
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = deg2rad(65);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 81.00;
OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10];
OptionsStruct.TimeStepSize = 0.0025; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 5E5; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-05;
OptionsStruct.NoiseScaleFactor = 0.15;
OptionsStruct.MaxIterations = 10;
OptionsStruct.VariationalWidth = 1;
OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = false;
OptionsStruct.JobNumber = 5;
OptionsStruct.RunOnGPU = true;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
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 = 500, theta = 75: a_s = 98.11
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = deg2rad(75);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 85.00;
OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10];
OptionsStruct.TimeStepSize = 0.001; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 5E5; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-05;
OptionsStruct.NoiseScaleFactor = 0.05;
OptionsStruct.MaxIterations = 10;
OptionsStruct.VariationalWidth = 1;
OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = false;
OptionsStruct.JobNumber = 6;
OptionsStruct.RunOnGPU = true;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
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 = 500, theta = 85: a_s = 102.56
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1.00e+05;
OptionsStruct.DipolarPolarAngle = deg2rad(85);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 90.00;
OptionsStruct.TrapFrequencies = [0, 0, 500];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [10, 10];
OptionsStruct.TimeStepSize = 0.001; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 5E5; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-05;
OptionsStruct.NoiseScaleFactor = 0.05;
OptionsStruct.MaxIterations = 10;
OptionsStruct.VariationalWidth = 1;
OptionsStruct.WidthLowerBound = 0.01;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 5e-3;
OptionsStruct.PlotLive = false;
OptionsStruct.JobNumber = 7;
OptionsStruct.RunOnGPU = true;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Results/Data_TiltingOfDipoles';
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();