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Karthik 2024-11-18 18:06:14 +01:00
parent 551c16dd84
commit d5523fd0d9
8 changed files with 50 additions and 32 deletions
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2
Dipolar-Gas-Simulator/+Plotter/plotLive2D.m
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@ -23,7 +23,7 @@ function plotLive2D(psi, Params, Transf, Observ, vrun)
plotxy = pcolor(x,y,nxyScaled');
set(plotxy, 'EdgeColor', 'none');
% shading interp; % Smooth shading
clim(ax1);
clim(ax1,[0.00,0.3]);
cbar1 = colorbar;
cbar1.Label.Interpreter = 'latex';
ylabel(cbar1,'$na_{dd}^2$','FontSize',16,'Rotation',270)

18
Dipolar-Gas-Simulator/+Scripts/run_locally.m
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@ -52,7 +52,7 @@ Plotter.visualizeGSWavefunction(Params.njob)
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1E5;
OptionsStruct.NumberOfAtoms = 1.6E8;
OptionsStruct.DipolarPolarAngle = 0;
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 102.2518; % Critical point: 102.515; Triangular phase: 98.0676; Stripe phase: 102.2518; Honeycomb phase: 102.6441
@ -60,18 +60,20 @@ OptionsStruct.ScatteringLength = 102.2518; % Critical point: 102.5
OptionsStruct.TrapFrequencies = [10, 10, 72.4];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [6.972, 6.972]; % Critical point: 6.996; Triangular phase: 7.5; Stripe phase: 6.972; Honeycomb phase: 6.239 for both for Atom Number fixed to 1E5
OptionsStruct.TimeStepSize = 5E-6; % in s
OptionsStruct.TimeCutOff = 1E5; % in s
OptionsStruct.NumberOfGridPoints = [256, 256];
OptionsStruct.Dimensions = [100, 100]; % Critical point: 6.996; Triangular phase: 7.5; Stripe phase: 6.972; Honeycomb phase: 6.239 for both for Atom Number fixed to 1E5
OptionsStruct.TimeStepSize = 500E-6; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 2E6; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-05;
OptionsStruct.ResidualTolerance = 1E-04;
OptionsStruct.NoiseScaleFactor = 8;
OptionsStruct.MaxIterations = 20;
OptionsStruct.VariationalWidth = 4;
OptionsStruct.WidthLowerBound = 0.2;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 1e-4;
OptionsStruct.WidthCutoff = 1e-2;
OptionsStruct.PlotLive = true;
OptionsStruct.JobNumber = 1;
@ -90,6 +92,8 @@ solver.Potential = pot.trap();
%% - 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

21
Dipolar-Gas-Simulator/+Scripts/run_on_cluster.m
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@ -2,21 +2,30 @@
OptionsStruct = struct;
OptionsStruct.NumberOfAtoms = 1E5;
OptionsStruct.NumberOfAtoms = 1.6E8;
OptionsStruct.DipolarPolarAngle = 0;
OptionsStruct.DipolarAzimuthAngle = 0;
OptionsStruct.ScatteringLength = 98.0676; % Critical point: 102.515; Triangular phase: 98.0676; Stripe phase: 102.2518; Honeycomb phase: 102.6441
OptionsStruct.ScatteringLength = 102.2518; % Critical point: 102.515; Triangular phase: 98.0676; Stripe phase: 102.2518; Honeycomb phase: 102.6441
OptionsStruct.TrapFrequencies = [10, 10, 72.4];
OptionsStruct.TrapPotentialType = 'None';
OptionsStruct.NumberOfGridPoints = [128, 128];
OptionsStruct.Dimensions = [7.5, 7.5]; % Critical point: 6.996; Triangular phase: 7.5; Stripe phase: 6.972; Honeycomb phase: 6.239 for both for Atom Number fixed to 1E5
OptionsStruct.TimeStepSize = 500E-6; % in s
OptionsStruct.TimeCutOff = 2E6; % in s
OptionsStruct.NumberOfGridPoints = [256, 256];
OptionsStruct.Dimensions = [100, 100]; % Critical point: 6.996; Triangular phase: 7.5; Stripe phase: 6.972; Honeycomb phase: 6.239 for both for Atom Number fixed to 1E5
OptionsStruct.TimeStepSize = 500E-6; % in s
OptionsStruct.MinimumTimeStepSize = 1E-5; % in s
OptionsStruct.TimeCutOff = 2E6; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.ResidualTolerance = 1E-04;
OptionsStruct.NoiseScaleFactor = 8;
OptionsStruct.MaxIterations = 20;
OptionsStruct.VariationalWidth = 4;
OptionsStruct.WidthLowerBound = 0.2;
OptionsStruct.WidthUpperBound = 12;
OptionsStruct.WidthCutoff = 1e-2;
OptionsStruct.PlotLive = false;
OptionsStruct.JobNumber = 1;
OptionsStruct.RunOnGPU = true;
OptionsStruct.SaveData = true;

8
Dipolar-Gas-Simulator/+VariationalSolver2D/@DipolarGas/DipolarGas.m
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@ -16,6 +16,7 @@ classdef DipolarGas < handle & matlab.mixin.Copyable
TimeCutOff;
EnergyTolerance;
ResidualTolerance;
NoiseScaleFactor;
MaxIterations;
VariationalWidth;
@ -58,7 +59,7 @@ classdef DipolarGas < handle & matlab.mixin.Copyable
@(x) assert(isnumeric(x) && isvector(x) && all(x > 0)));
addParameter(p, 'TimeStepSize', 5E-4,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'MinimumTimeStepSize', 1e-6,...
addParameter(p, 'MinimumTimeStepSize', 1e-5,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'TimeCutOff', 2e6,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
@ -66,6 +67,8 @@ classdef DipolarGas < handle & matlab.mixin.Copyable
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'ResidualTolerance', 1e-10,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'NoiseScaleFactor', 4,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'MaxIterations', 20,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'VariationalWidth', 4,...
@ -104,6 +107,7 @@ classdef DipolarGas < handle & matlab.mixin.Copyable
this.TimeCutOff = p.Results.TimeCutOff;
this.EnergyTolerance = p.Results.EnergyTolerance;
this.ResidualTolerance = p.Results.ResidualTolerance;
this.NoiseScaleFactor = p.Results.NoiseScaleFactor;
this.MaxIterations = p.Results.MaxIterations;
this.VariationalWidth = p.Results.VariationalWidth;
@ -141,7 +145,7 @@ classdef DipolarGas < handle & matlab.mixin.Copyable
ret = this.TimeCutOff;
end
function set.NumberOfAtoms(this, val)
assert(val <= 1E6, '!!Not time efficient to compute for atom numbers larger than 1,000,000!!');
assert(val <= 1E9, '!!Not time efficient to compute for atom numbers larger than 1,000,000,000!!');
this.NumberOfAtoms = val;
end
function ret = get.NumberOfAtoms(this)

7
Dipolar-Gas-Simulator/+VariationalSolver2D/@DipolarGas/propagateWavefunction.m
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@ -84,9 +84,9 @@ function [psi, Observ] = propagateWavefunction(this, psi, Params, VParams, Trans
%
%Adaptive time step -- Careful, this can quickly get out of control
relres = abs(Observ.residual(Observ.res_idx)-Observ.residual(Observ.res_idx-1))/Observ.residual(Observ.res_idx);
relE = abs(Observ.EVec(Observ.res_idx)-Observ.EVec(Observ.res_idx-1))/Observ.EVec(Observ.res_idx);
relmu = abs(Observ.mucVec(Observ.res_idx)-Observ.mucVec(Observ.res_idx-1))/Observ.mucVec(Observ.res_idx);
relres = abs(Observ.residual(Observ.res_idx)-Observ.residual(Observ.res_idx-1))/Observ.residual(Observ.res_idx);
relE = abs(Observ.EVec(Observ.res_idx)-Observ.EVec(Observ.res_idx-1))/Observ.EVec(Observ.res_idx);
relmu = abs(Observ.mucVec(Observ.res_idx)-Observ.mucVec(Observ.res_idx-1))/Observ.mucVec(Observ.res_idx);
if relres <1e-4
if AdaptIdx > 3 && abs(dt) > Params.mindt
@ -103,7 +103,6 @@ function [psi, Observ] = propagateWavefunction(this, psi, Params, VParams, Trans
AdaptIdx = 0;
end
end
if any(isnan(psi(:)))
disp('NaNs encountered!')
break

2
Dipolar-Gas-Simulator/+VariationalSolver2D/@DipolarGas/run.m
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@ -45,7 +45,7 @@ function [Params, Transf, psi, V, VDk] = run(this)
r = normrnd(0,1,size(psi));
theta = rand(size(psi));
noise = r.*exp(2*pi*1i*theta);
psi = psi + 0.25*noise;
psi = psi + Params.nsf*noise;
% --- Run ---
[psi, Observ] = this.propagateWavefunction(psi, Params, VParams, Transf, VDk, V, t_idx, Observ, nn);

6
Dipolar-Gas-Simulator/+VariationalSolver2D/@DipolarGas/setupParameters.m
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@ -6,7 +6,7 @@ function [Params] = setupParameters(this)
muB = CONSTANTS.BohrMagneton; % [J/T]
a0 = CONSTANTS.BohrRadius; % [m]
m0 = CONSTANTS.AtomicMassUnit; % [kg]
w0 = 2*pi*61.6582; % Angular frequency unit [s^-1]
w0 = 2*pi*61.6316; % Angular frequency unit [s^-1]
mu0factor = 0.3049584233607396; % =(m0/me)*pi*alpha^2 -- me=mass of electron, alpha=fine struct. const.
% mu0=mu0factor *hbar^2*a0/(m0*muB^2)
% Number of points in each direction
@ -46,6 +46,8 @@ function [Params] = setupParameters(this)
% even though the solution is good, this just stops it going on forever
Params.mindt = this.MinimumTimeStepSize; % Minimum size for a time step using adaptive dt
Params.nsf = this.NoiseScaleFactor;
Params.njob = this.JobNumber;
@ -70,7 +72,7 @@ function [Params] = setupParameters(this)
Params.add = mu0*Params.mu^2*Params.m/(12*pi*hbar^2);
% DDI strength
Params.gdd = 12*pi*Params.add/l0; %sometimes the 12 is a 4 --> depends on how Vdk (DDI) is defined
Params.gdd = 4*pi*Params.add/l0; % sometimes the 12 is a 4 --> depends on how Vdk (DDI) is defined
% Trap gamma
Params.gx = (Params.wx/w0)^2;

12
Dipolar-Gas-Simulator/+VariationalSolver2D/@DipolarGas/setupWavefunction.m
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@ -6,16 +6,16 @@ function [psi] = setupWavefunction(~,Params,Transf)
ellx = sqrt(Params.hbar/(Params.m*Params.wx))/Params.l0;
elly = sqrt(Params.hbar/(Params.m*Params.wy))/Params.l0;
Rx = 4*sqrt(2)*ellx;
Ry = 4*sqrt(2)*elly;
Rx = 6*sqrt(2)*ellx;
Ry = 6*sqrt(2)*elly;
X0 = 0.0*Transf.Xmax;
Y0 = 0.0*Transf.Ymax;
psi = exp(-(X-X0).^2/Rx^2-(Y-Y0).^2/Ry^2);
psi = exp(-(X-X0).^2/Rx^2-(Y-Y0).^2/Ry^2);
cur_norm = trapz(abs(psi(:)).^2)*Transf.dx*Transf.dy;
psi = psi/sqrt(cur_norm);
psi = psi/sqrt(cur_norm);
Norm = trapz(abs(psi(:)).^2)*Transf.dx*Transf.dy;
psi = sqrt(Params.N)*psi/sqrt(Norm);
Norm = trapz(abs(psi(:)).^2)*Transf.dx*Transf.dy;
psi = sqrt(Params.N)*psi/sqrt(Norm);
end