%% This script is testing the functionalities of the Dipolar Gas Simulator % % Important: Run only sectionwise!! %% - Create Simulator, Potential and Calculator object with specified options OptionsStruct = struct; OptionsStruct.NumberOfAtoms = 1E5; OptionsStruct.DipolarPolarAngle = 0; OptionsStruct.DipolarAzimuthAngle = 0; OptionsStruct.ScatteringLength = 86; OptionsStruct.TrapFrequencies = [10, 10, 72.4]; OptionsStruct.TrapDepth = 5; OptionsStruct.BoxSize = 15; OptionsStruct.TrapPotentialType = 'Harmonic'; OptionsStruct.NumberOfGridPoints = [256, 512, 256]; OptionsStruct.Dimensions = [50, 120, 150]; OptionsStruct.CutoffType = 'Cylindrical'; OptionsStruct.SimulationMode = 'ImaginaryTimeEvolution'; % 'ImaginaryTimeEvolution' | 'RealTimeEvolution' OptionsStruct.TimeStepSize = 500E-6; % in s OptionsStruct.NumberOfTimeSteps = 2E6; % in s OptionsStruct.EnergyTolerance = 5E-10; OptionsStruct.ResidualTolerance = 1E-05; OptionsStruct.JobNumber = 1; OptionsStruct.RunOnGPU = false; OptionsStruct.SaveData = true; OptionsStruct.SaveDirectory = './Data'; options = Helper.convertstruct2cell(OptionsStruct); clear OptionsStruct sim = Simulator.DipolarGas(options{:}); pot = Simulator.Potentials(options{:}); sim.Potential = pot.trap(); % + pot.repulsive_chopstick(); %-% Run Simulation %-% [Params, Transf, psi, V, VDk] = sim.run(); %% - Plot numerical grid % Plotter.visualizeSpace(Transf) %% - Plot trap potential Plotter.visualizeTrapPotential(sim.Potential,Params,Transf) %% - Plot initial wavefunction Plotter.visualizeWavefunction(psi,Params,Transf) %% - Plot GS wavefunction Plotter.visualizeGSWavefunction(Params.njob) %% % To reproduce results from the Blair Blakie paper: % (n*add^2, as/add) % Critical point: (0.0978, 0.784); Triangular phase: (0.0959, 0.750); Stripe phase: (0.144, 0.765); Honeycomb phase: (0.192, 0.780) % N = ((n*add^2)/Params.add^2) * (Params.Lx *1E-6)^2 % 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 % as = ((as/add)*Params.add)/Params.a0 % Critical point: 102.5133; Triangular phase: 98.0676; Stripe phase: 100.0289; Honeycomb phase: 101.9903 %% - Create Variational2D and Calculator object with specified options OptionsStruct = struct; OptionsStruct.NumberOfAtoms = 2.0030e+07; OptionsStruct.DipolarPolarAngle = 0; OptionsStruct.DipolarAzimuthAngle = 0; OptionsStruct.ScatteringLength = 98.0676; OptionsStruct.TrapFrequencies = [10, 10, 72.4]; OptionsStruct.TrapPotentialType = 'None'; OptionsStruct.NumberOfGridPoints = [128, 128]; OptionsStruct.Dimensions = [100, 100]; OptionsStruct.TimeStepSize = 500E-6; % in s OptionsStruct.MinimumTimeStepSize = 1E-5; % in s OptionsStruct.TimeCutOff = 1E6; % in s OptionsStruct.EnergyTolerance = 5E-10; OptionsStruct.ResidualTolerance = 1E-04; OptionsStruct.NoiseScaleFactor = 4; OptionsStruct.MaxIterations = 1; OptionsStruct.VariationalWidth = 5.0; OptionsStruct.WidthLowerBound = 0.2; OptionsStruct.WidthUpperBound = 12; OptionsStruct.WidthCutoff = 1e-2; OptionsStruct.PlotLive = true; OptionsStruct.JobNumber = 1; OptionsStruct.RunOnGPU = false; OptionsStruct.SaveData = true; OptionsStruct.SaveDirectory = './Data_TriangularPhase'; 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(); % Solve BdG equations % Load data Data = load(sprintf(horzcat(solver.SaveDirectory, '/Run_%03i/psi_gs.mat'),solver.JobNumber),'psi','Params','Transf'); Params = Data.Params; Transf = Data.Transf; if isgpuarray(Data.psi) psi = gather(Data.psi); else psi = Data.psi; end VParams.ell = Params.ell; % == DDI potential == % VDk = solver.Calculator.calculateVDkWithCutoff(Transf, Params, VParams.ell); % == Trap potential == % X = Transf.X; Y = Transf.Y; V = 0.0*(Params.gx.*X.^2+Params.gy.*Y.^2); % == Chemical potential == % muchem = solver.Calculator.calculateChemicalPotential(psi,Params,VParams,Transf,VDk,V); [evals, modes] = BdGSolver2D.solveBogoliubovdeGennesIn2D(psi, Params, VDk, VParams, Transf, muchem); %% - Create Variational2D and Calculator object with specified options OptionsStruct = struct; OptionsStruct.NumberOfAtoms = 3.0077e+07; OptionsStruct.DipolarPolarAngle = 0; OptionsStruct.DipolarAzimuthAngle = 0; OptionsStruct.ScatteringLength = 100.0289; OptionsStruct.TrapFrequencies = [10, 10, 72.4]; OptionsStruct.TrapPotentialType = 'None'; OptionsStruct.NumberOfGridPoints = [128, 128]; OptionsStruct.Dimensions = [100, 100]; OptionsStruct.TimeStepSize = 500E-6; % in s OptionsStruct.MinimumTimeStepSize = 1E-5; % in s OptionsStruct.TimeCutOff = 1E6; % in s OptionsStruct.EnergyTolerance = 5E-10; OptionsStruct.ResidualTolerance = 1E-04; OptionsStruct.NoiseScaleFactor = 4; OptionsStruct.MaxIterations = 1; OptionsStruct.VariationalWidth = 5.5; OptionsStruct.WidthLowerBound = 0.2; OptionsStruct.WidthUpperBound = 12; OptionsStruct.WidthCutoff = 1e-2; OptionsStruct.PlotLive = true; OptionsStruct.JobNumber = 1; OptionsStruct.RunOnGPU = false; OptionsStruct.SaveData = true; OptionsStruct.SaveDirectory = './Data_StripePhase'; 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(); %% - Create Variational2D and Calculator object with specified options OptionsStruct = struct; OptionsStruct.NumberOfAtoms = 4.0102e+07; OptionsStruct.DipolarPolarAngle = 0; OptionsStruct.DipolarAzimuthAngle = 0; OptionsStruct.ScatteringLength = 101.9903; OptionsStruct.TrapFrequencies = [10, 10, 72.4]; OptionsStruct.TrapPotentialType = 'None'; OptionsStruct.NumberOfGridPoints = [128, 128]; OptionsStruct.Dimensions = [100, 100]; OptionsStruct.TimeStepSize = 500E-6; % in s OptionsStruct.MinimumTimeStepSize = 1E-5; % in s OptionsStruct.TimeCutOff = 1E6; % in s OptionsStruct.EnergyTolerance = 5E-10; OptionsStruct.ResidualTolerance = 1E-04; OptionsStruct.NoiseScaleFactor = 4; OptionsStruct.MaxIterations = 1; OptionsStruct.VariationalWidth = 7.5; OptionsStruct.WidthLowerBound = 0.2; OptionsStruct.WidthUpperBound = 12; OptionsStruct.WidthCutoff = 1e-2; OptionsStruct.PlotLive = true; OptionsStruct.JobNumber = 1; OptionsStruct.RunOnGPU = false; OptionsStruct.SaveData = true; OptionsStruct.SaveDirectory = './Data_HoneycombPhase'; 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(); %% - Plot numerical grid % Plotter.visualizeSpace2D(Transf) %% - Plot trap potential % Plotter.visualizeTrapPotential2D(solver.Potential,Params,Transf) %% - Plot initial wavefunction Plotter.visualizeWavefunction2D(psi,Params,Transf) %% - Plot GS wavefunction Plotter.visualizeGSWavefunction2D(solver.SaveDirectory, solver.JobNumber) %% - Cluster Runs - Analysis SaveDirectory = './Data_TriangularPhase'; JobNumber = 1; % Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber) Scripts.analyzeRun2D(SaveDirectory, JobNumber) %% - Cluster Runs - Analysis SaveDirectory = './Data_StripePhase'; JobNumber = 2; % Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber) Scripts.analyzeRun2D(SaveDirectory, JobNumber) %% - Cluster Runs - Analysis SaveDirectory = './Data_HoneycombPhase'; JobNumber = 3; % Plotter.visualizeGSWavefunction2D(SaveDirectory, JobNumber) Scripts.analyzeRun2D(SaveDirectory, JobNumber)