207 lines
8.1 KiB
Matlab
207 lines
8.1 KiB
Matlab
%%
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% To reproduce results from the Blair Blakie paper:
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% (n*add^2, as/add)
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% Critical point: (0.0978, 0.784); Triangular phase: (0.0959, 0.750); Stripe phase: (0.144, 0.765); Honeycomb phase: (0.192, 0.780)
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% N = ((n*add^2)/Params.add^2) * (Params.Lx *1E-6)^2
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% Critical point: N = 2.0427e+07; Triangular phase: N = 2.0030e+07; Stripe phase: N = 3.0077e+07; Honeycomb phase: N = 4.0102e+07 for dimensions fixed to 100
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% as = ((as/add)*Params.add)/Params.a0
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% Critical point: 102.5133; Triangular phase: 98.0676; Stripe phase: 100.0289; Honeycomb phase: 101.9903
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%{
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%% - Create Variational2D and Calculator object with specified options
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OptionsStruct = struct;
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OptionsStruct.NumberOfAtoms = 2.0030e+07;
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OptionsStruct.DipolarPolarAngle = 0;
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OptionsStruct.DipolarAzimuthAngle = 0;
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OptionsStruct.ScatteringLength = 98.0676;
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OptionsStruct.TrapFrequencies = [10, 10, 72.4];
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OptionsStruct.TrapPotentialType = 'None';
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OptionsStruct.NumberOfGridPoints = [256, 256];
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OptionsStruct.Dimensions = [100, 100];
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OptionsStruct.TimeStepSize = 100E-6; % in s
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OptionsStruct.MinimumTimeStepSize = 1E-5; % 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-04;
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OptionsStruct.NoiseScaleFactor = 4;
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OptionsStruct.MaxIterations = 20;
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OptionsStruct.VariationalWidth = 4;
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OptionsStruct.WidthLowerBound = 0.2;
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OptionsStruct.WidthUpperBound = 12;
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OptionsStruct.WidthCutoff = 1e-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;
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OptionsStruct.SaveDirectory = './Data_TriangularPhase';
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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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%% - Create Variational2D and Calculator object with specified options
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OptionsStruct = struct;
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OptionsStruct.NumberOfAtoms = 3.0077e+07;
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OptionsStruct.DipolarPolarAngle = 0;
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OptionsStruct.DipolarAzimuthAngle = 0;
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OptionsStruct.ScatteringLength = 100.0289;
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OptionsStruct.TrapFrequencies = [10, 10, 72.4];
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OptionsStruct.TrapPotentialType = 'None';
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OptionsStruct.NumberOfGridPoints = [128, 128];
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OptionsStruct.Dimensions = [100, 100];
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OptionsStruct.TimeStepSize = 100E-6; % in s
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OptionsStruct.MinimumTimeStepSize = 1E-5; % 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-04;
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OptionsStruct.NoiseScaleFactor = 4;
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OptionsStruct.MaxIterations = 20;
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OptionsStruct.VariationalWidth = 5;
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OptionsStruct.WidthLowerBound = 0.2;
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OptionsStruct.WidthUpperBound = 12;
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OptionsStruct.WidthCutoff = 1e-2;
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OptionsStruct.PlotLive = false;
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OptionsStruct.JobNumber = 2;
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OptionsStruct.RunOnGPU = true;
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OptionsStruct.SaveData = true;
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OptionsStruct.SaveDirectory = './Data_StripePhase';
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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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%% - Create Variational2D and Calculator object with specified options
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OptionsStruct = struct;
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OptionsStruct.NumberOfAtoms = 4.0102e+07;
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OptionsStruct.DipolarPolarAngle = 0;
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OptionsStruct.DipolarAzimuthAngle = 0;
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OptionsStruct.ScatteringLength = 101.9903;
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OptionsStruct.TrapFrequencies = [10, 10, 72.4];
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OptionsStruct.TrapPotentialType = 'None';
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OptionsStruct.NumberOfGridPoints = [256, 256];
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OptionsStruct.Dimensions = [100, 100];
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OptionsStruct.TimeStepSize = 100E-6; % in s
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OptionsStruct.MinimumTimeStepSize = 1E-5; % 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-04;
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OptionsStruct.NoiseScaleFactor = 4;
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OptionsStruct.MaxIterations = 20;
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OptionsStruct.VariationalWidth = 6.5;
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OptionsStruct.WidthLowerBound = 0.2;
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OptionsStruct.WidthUpperBound = 30;
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OptionsStruct.WidthCutoff = 1e-3;
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OptionsStruct.PlotLive = false;
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OptionsStruct.JobNumber = 3;
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OptionsStruct.RunOnGPU = true;
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OptionsStruct.SaveData = true;
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OptionsStruct.SaveDirectory = './Data_HoneycombPhase';
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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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%}
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%% - Create Variational2D and Calculator object with specified options
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OptionsStruct = struct;
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OptionsStruct.NumberOfAtoms = 2.0030e+07;
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OptionsStruct.DipolarPolarAngle = 0;
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OptionsStruct.DipolarAzimuthAngle = 0;
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OptionsStruct.ScatteringLength = 98.0676;
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OptionsStruct.TrapFrequencies = [10, 10, 72.4];
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OptionsStruct.TrapPotentialType = 'None';
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OptionsStruct.NumberOfGridPoints = [128, 128];
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OptionsStruct.Dimensions = [100, 100];
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OptionsStruct.TimeStepSize = 500E-6; % 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.EnergyTolerance = 5E-10;
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OptionsStruct.ResidualTolerance = 1E-04;
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OptionsStruct.NoiseScaleFactor = 4;
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OptionsStruct.MaxIterations = 1;
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OptionsStruct.VariationalWidth = 5.0;
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OptionsStruct.WidthLowerBound = 0.2;
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OptionsStruct.WidthUpperBound = 12;
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OptionsStruct.WidthCutoff = 1e-2;
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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;
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OptionsStruct.SaveDirectory = './Data_TriangularPhase';
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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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% Solve BdG equations
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% Load data
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Data = load(sprintf(horzcat(solver.SaveDirectory, '/Run_%03i/psi_gs.mat'),solver.JobNumber),'psi','Transf','Params','VParams','V');
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Transf = Data.Transf;
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Params = Data.Params;
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VParams = Data.VParams;
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V = Data.V;
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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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% == DDI potential == %
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VDk = solver.Calculator.calculateVDkWithCutoff(Transf, Params, VParams.ell);
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% == Chemical potential == %
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muchem = solver.Calculator.calculateChemicalPotential(psi,Params,VParams,Transf,VDk,V);
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[evals, modes] = BdGSolver2D.solveBogoliubovdeGennesIn2D(psi, Params, VDk, VParams, Transf, muchem);
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% Save the eigenvalues and eigenvectors to a .mat file
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save(sprintf(strcat(solver.SaveDirectory, '/Run_%03i/bdg_eigen_data.mat'),solver.JobNumber), 'evals', 'modes', '-v7.3');
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