Calculations/Dipolar-Gas-Simulator/+Scripts/run_on_cluster_scaling.m

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Matlab

%% - Scaling at Aspect Ratio: 2.8
% N = 5E5 for labyrinth at a_s = 85, AR = 2.8
% We require N = sqrt(ScalingFactor) * N_labyrinth = 1E5/8E4
% This implies ScalingFactor = (1/5)^2/(0.8/5)^2
% We have to scale the Horizontal Trap Frequency by 1/ScalingFactor
% The Vertical Trap Frequency will still be AR * Horizontal Trap Frequency
%% - N = 1E5
ScalingFactor = (1/5)^2;
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = sqrt(ScalingFactor) * 5E5;
OptionsStruct.DipolarPolarAngle = deg2rad(0);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 85;
AspectRatio = 2.8;
HorizontalTrapFrequency = 125/ScalingFactor;
VerticalTrapFrequency = AspectRatio * HorizontalTrapFrequency;
OptionsStruct.TrapFrequencies = [HorizontalTrapFrequency, HorizontalTrapFrequency, VerticalTrapFrequency];
OptionsStruct.TrapPotentialType = 'Harmonic';
OptionsStruct.NumberOfGridPoints = [128, 128, 64];
OptionsStruct.Dimensions = [4, 4, 4];
OptionsStruct.UseApproximationForLHY = true;
OptionsStruct.IncludeDDICutOff = true;
OptionsStruct.CutoffType = 'Cylindrical';
OptionsStruct.SimulationMode = 'ImaginaryTimeEvolution'; % 'ImaginaryTimeEvolution' | 'RealTimeEvolution'
OptionsStruct.TimeStepSize = 1E-4; % in s
OptionsStruct.MinimumTimeStepSize = 2E-6; % in s
OptionsStruct.TimeCutOff = 2E6; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-08;
OptionsStruct.NoiseScaleFactor = 0.01;
OptionsStruct.PlotLive = false;
OptionsStruct.JobNumber = 0;
OptionsStruct.RunOnGPU = true;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = sprintf('./Results/Data_3D/ApproximateLHY/AspectRatio%s', strrep(num2str(AspectRatio), '.', '_'));
options = Helper.convertstruct2cell(OptionsStruct);
clear OptionsStruct
sim = Simulator.DipolarGas(options{:});
pot = Simulator.Potentials(options{:});
sim.Potential = pot.trap();
%-% Run Simulation %-%
[Params, Transf, psi, V, VDk] = sim.run();
%% - N = 8E4
ScalingFactor = (0.8/5)^2;
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = sqrt(ScalingFactor) * 5E5;
OptionsStruct.DipolarPolarAngle = deg2rad(0);
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 85;
AspectRatio = 2.8;
HorizontalTrapFrequency = 125/ScalingFactor;
VerticalTrapFrequency = AspectRatio * HorizontalTrapFrequency;
OptionsStruct.TrapFrequencies = [HorizontalTrapFrequency, HorizontalTrapFrequency, VerticalTrapFrequency];
OptionsStruct.TrapPotentialType = 'Harmonic';
OptionsStruct.NumberOfGridPoints = [128, 128, 64];
OptionsStruct.Dimensions = [4, 4, 4];
OptionsStruct.UseApproximationForLHY = true;
OptionsStruct.IncludeDDICutOff = true;
OptionsStruct.CutoffType = 'Cylindrical';
OptionsStruct.SimulationMode = 'ImaginaryTimeEvolution'; % 'ImaginaryTimeEvolution' | 'RealTimeEvolution'
OptionsStruct.TimeStepSize = 1E-4; % in s
OptionsStruct.MinimumTimeStepSize = 2E-6; % in s
OptionsStruct.TimeCutOff = 2E6; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-08;
OptionsStruct.NoiseScaleFactor = 0.01;
OptionsStruct.PlotLive = false;
OptionsStruct.JobNumber = 1;
OptionsStruct.RunOnGPU = true;
OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = sprintf('./Results/Data_3D/ApproximateLHY/AspectRatio%s', strrep(num2str(AspectRatio), '.', '_'));
options = Helper.convertstruct2cell(OptionsStruct);
clear OptionsStruct
sim = Simulator.DipolarGas(options{:});
pot = Simulator.Potentials(options{:});
sim.Potential = pot.trap();
%-% Run Simulation %-%
[Params, Transf, psi, V, VDk] = sim.run();