Manual identification of values for the different parameters to obtain states close to the expected ground states - Code around the fmincon works as expected.
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@ -64,6 +64,48 @@ Plotter.visualizeGSWavefunction(Params.njob)
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OptionsStruct = struct;
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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 = true;
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OptionsStruct.JobNumber = 2;
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OptionsStruct.RunOnGPU = false;
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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.NumberOfAtoms = 3.0077e+07;
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OptionsStruct.DipolarPolarAngle = 0;
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OptionsStruct.DipolarPolarAngle = 0;
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OptionsStruct.DipolarAzimuthAngle = 0;
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OptionsStruct.DipolarAzimuthAngle = 0;
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@ -81,7 +123,7 @@ OptionsStruct.EnergyTolerance = 5E-10;
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OptionsStruct.ResidualTolerance = 1E-04;
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OptionsStruct.ResidualTolerance = 1E-04;
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OptionsStruct.NoiseScaleFactor = 4;
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OptionsStruct.NoiseScaleFactor = 4;
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OptionsStruct.MaxIterations = 20;
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OptionsStruct.MaxIterations = 1;
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OptionsStruct.VariationalWidth = 5.5;
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OptionsStruct.VariationalWidth = 5.5;
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OptionsStruct.WidthLowerBound = 0.2;
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OptionsStruct.WidthLowerBound = 0.2;
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OptionsStruct.WidthUpperBound = 12;
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OptionsStruct.WidthUpperBound = 12;
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@ -102,6 +144,48 @@ solver.Potential = pot.trap();
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%-% Run Solver %-%
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%-% Run Solver %-%
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[Params, Transf, psi, V, VDk] = solver.run();
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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 = [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 = 7.5;
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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 = true;
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OptionsStruct.JobNumber = 2;
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OptionsStruct.RunOnGPU = false;
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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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%% - Plot numerical grid
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%% - Plot numerical grid
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% Plotter.visualizeSpace2D(Transf)
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% Plotter.visualizeSpace2D(Transf)
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%% - Plot trap potential
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%% - Plot trap potential
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@ -9,7 +9,7 @@
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% as = ((as/add)*Params.add)/Params.a0
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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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% 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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%% - Create Variational2D and Calculator object with specified options
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OptionsStruct = struct;
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OptionsStruct = struct;
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@ -51,7 +51,7 @@ solver.Potential = pot.trap();
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%-% Run Solver %-%
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%-% Run Solver %-%
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[Params, Transf, psi, V, VDk] = solver.run();
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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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%% - Create Variational2D and Calculator object with specified options
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OptionsStruct = struct;
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OptionsStruct = struct;
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@ -93,7 +93,7 @@ solver.Potential = pot.trap();
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%-% Run Solver %-%
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%-% Run Solver %-%
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[Params, Transf, psi, V, VDk] = solver.run();
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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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%% - Create Variational2D and Calculator object with specified options
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OptionsStruct = struct;
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OptionsStruct = struct;
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@ -135,4 +135,3 @@ solver.Potential = pot.trap();
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%-% Run Solver %-%
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%-% Run Solver %-%
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[Params, Transf, psi, V, VDk] = solver.run();
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[Params, Transf, psi, V, VDk] = solver.run();
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%}
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