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Karthik 2024-06-13 18:27:02 +02:00
parent cfe15aa13d
commit 570995f3f5
3 changed files with 54 additions and 41 deletions
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5
Dipolar Gas Simulator/+Scripts/test.m
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@ -17,8 +17,9 @@ OptionsStruct.CutoffType = 'Cylindrical';
OptionsStruct.TrapPotentialType = 'Harmonic'; OptionsStruct.TrapPotentialType = 'Harmonic';
OptionsStruct.SimulationMode = 'ImaginaryTimeEvolution'; % 'ImaginaryTimeEvolution' | 'RealTimeEvolution' OptionsStruct.SimulationMode = 'ImaginaryTimeEvolution'; % 'ImaginaryTimeEvolution' | 'RealTimeEvolution'
OptionsStruct.TimeStep = 50e-06; % in s OptionsStruct.TimeStep = 50E-6; % in s
OptionsStruct.SimulationTime = 4e-03; % in s OptionsStruct.SimulationTime = 2E6; % in s
OptionsStruct.EnergyTolerance = 5E-10;
OptionsStruct.SaveData = true; OptionsStruct.SaveData = true;
OptionsStruct.SaveDirectory = './Data'; OptionsStruct.SaveDirectory = './Data';

12
Dipolar Gas Simulator/+Simulator/@DipolarGas/DipolarGas.m
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@ -8,10 +8,12 @@ classdef DipolarGas < handle & matlab.mixin.Copyable
TrapFrequencies; TrapFrequencies;
NumberOfGridPoints; NumberOfGridPoints;
Dimensions; Dimensions;
SimulationMode; SimulationMode;
TimeStep; TimeStep;
SimulationTime; SimulationTime;
EnergyTolerance;
MinimumTimeStep;
%Flags %Flags
@ -46,8 +48,12 @@ classdef DipolarGas < handle & matlab.mixin.Copyable
@(x) any(strcmpi(x,{'ImaginaryTimeEvolution','RealTimeEvolution'}))); @(x) any(strcmpi(x,{'ImaginaryTimeEvolution','RealTimeEvolution'})));
addParameter(p, 'TimeStep', 5E-4,... addParameter(p, 'TimeStep', 5E-4,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0))); @(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'SimulationTime', 3,... addParameter(p, 'SimulationTime', 2e6,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0))); @(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'EnergyTolerance', 1e-10,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'MinimumTimeStep', 1e-6,...
@(x) assert(isnumeric(x) && isscalar(x) && (x > 0)));
addParameter(p, 'DebugMode', false,... addParameter(p, 'DebugMode', false,...
@islogical); @islogical);
addParameter(p, 'SaveData', false,... addParameter(p, 'SaveData', false,...
@ -68,6 +74,8 @@ classdef DipolarGas < handle & matlab.mixin.Copyable
this.SimulationMode = p.Results.SimulationMode; this.SimulationMode = p.Results.SimulationMode;
this.TimeStep = p.Results.TimeStep; this.TimeStep = p.Results.TimeStep;
this.SimulationTime = p.Results.SimulationTime; this.SimulationTime = p.Results.SimulationTime;
this.EnergyTolerance = p.Results.EnergyTolerance;
this.MinimumTimeStep = p.Results.MinimumTimeStep;
this.DebugMode = p.Results.DebugMode; this.DebugMode = p.Results.DebugMode;
this.DoSave = p.Results.SaveData; this.DoSave = p.Results.SaveData;

78
Dipolar Gas Simulator/+Simulator/@DipolarGas/setupParameters.m
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@ -1,34 +1,34 @@
function [Params] = setupParameters(this) function [Params] = setupParameters(this)
CONSTANTS = Helper.PhysicsConstants; CONSTANTS = Helper.PhysicsConstants;
hbar = CONSTANTS.PlanckConstantReduced; % [J.s] hbar = CONSTANTS.PlanckConstantReduced; % [J.s]
kbol = CONSTANTS.BoltzmannConstant; % [J/K] kbol = CONSTANTS.BoltzmannConstant; % [J/K]
mu0 = CONSTANTS.VacuumPermeability; % [N/A^2] mu0 = CONSTANTS.VacuumPermeability; % [N/A^2]
muB = CONSTANTS.BohrMagneton; % [J/T] muB = CONSTANTS.BohrMagneton; % [J/T]
a0 = CONSTANTS.BohrRadius; % [m] a0 = CONSTANTS.BohrRadius; % [m]
m0 = CONSTANTS.AtomicMassUnit; % [kg] m0 = CONSTANTS.AtomicMassUnit; % [kg]
w0 = 2*pi*100; % Angular frequency unit [s^-1] w0 = 2*pi*100; % Angular frequency unit [s^-1]
mu0factor = 0.3049584233607396; % =(m0/me)*pi*alpha^2 -- me=mass of electron, alpha=fine struct. const. mu0factor = 0.3049584233607396; % =(m0/me)*pi*alpha^2 -- me=mass of electron, alpha=fine struct. const.
% mu0=mu0factor *hbar^2*a0/(m0*muB^2) % mu0=mu0factor *hbar^2*a0/(m0*muB^2)
% Number of points in each direction % Number of points in each direction
Params.Nx = this.NumberOfGridPoints(1); Params.Nx = this.NumberOfGridPoints(1);
Params.Ny = this.NumberOfGridPoints(2); Params.Ny = this.NumberOfGridPoints(2);
Params.Nz = this.NumberOfGridPoints(3); Params.Nz = this.NumberOfGridPoints(3);
% Dimensions (in units of l0) % Dimensions (in units of l0)
Params.Lx = this.Dimensions(1); Params.Lx = this.Dimensions(1);
Params.Ly = this.Dimensions(2); Params.Ly = this.Dimensions(2);
Params.Lz = this.Dimensions(3); Params.Lz = this.Dimensions(3);
% Masses % Masses
Params.m = CONSTANTS.Dy164Mass; Params.m = CONSTANTS.Dy164Mass;
l0 = sqrt(hbar/(Params.m*w0)); % Defining a harmonic oscillator length l0 = sqrt(hbar/(Params.m*w0)); % Defining a harmonic oscillator length
% Atom numbers % Atom numbers
Params.N = this.NumberOfAtoms; Params.N = this.NumberOfAtoms;
% Dipole angle % Dipole angle
Params.theta = this.DipolarPolarAngle; % pi/2 dipoles along x, theta=0 dipoles along z Params.theta = this.DipolarPolarAngle; % pi/2 dipoles along x, theta=0 dipoles along z
Params.phi = this.DipolarAzimuthAngle; Params.phi = this.DipolarAzimuthAngle;
% Dipole lengths (units of muB) % Dipole lengths (units of muB)
@ -38,35 +38,34 @@ Params.mu = CONSTANTS.DyMagneticMoment;
Params.as = this.ScatteringLength*a0; Params.as = this.ScatteringLength*a0;
% Trapping frequencies % Trapping frequencies
Params.wx = 2*pi*this.TrapFrequencies(1); Params.wx = 2*pi*this.TrapFrequencies(1);
Params.wy = 2*pi*this.TrapFrequencies(2); Params.wy = 2*pi*this.TrapFrequencies(2);
Params.wz = 2*pi*this.TrapFrequencies(3); Params.wz = 2*pi*this.TrapFrequencies(3);
% Stochastic GPE % Stochastic GPE
Params.gamma_S = 7.5*10^(-3); % gamma for the stochastic GPE Params.gamma_S = 7.5*10^(-3); % gamma for the stochastic GPE
Params.muchem = 12.64*Params.wz/w0; % fixing the chemical potential for the stochastic GPE Params.muchem = 12.64*Params.wz/w0; % fixing the chemical potential for the stochastic GPE
Params.Etol = 5e-10; % Tolerances
Params.rtol = 1e-5;
Params.cut_off = 2e6; % sometimes the imaginary time gets a little stuck
% even though the solution is good, this just stops it going on forever
Params.mindt = 1e-6; % Minimum size for a time step using adaptive dt
Params.Etol = this.EnergyTolerance; % Tolerances
Params.cut_off = this.SimulationTime; % sometimes the imaginary time gets a little stuck
% even though the solution is good, this just stops it going on forever
Params.mindt = this.MinimumTimeStep; % Minimum size for a time step using adaptive dt
% ================ Parameters defined by those above ================ % % ================ Parameters defined by those above ================ %
% Contact interaction strength (units of l0/m) % Contact interaction strength (units of l0/m)
Params.gs = 4*pi*Params.as/l0; Params.gs = 4*pi*Params.as/l0;
% Dipole lengths % Dipole lengths
Params.add = mu0*Params.mu^2*Params.m/(12*pi*hbar^2); Params.add = mu0*Params.mu^2*Params.m/(12*pi*hbar^2);
% DDI strength % DDI strength
Params.gdd = 12*pi*Params.add/l0; %sometimes the 12 is a 4 --> depends on how Vdk (DDI) is defined Params.gdd = 12*pi*Params.add/l0; %sometimes the 12 is a 4 --> depends on how Vdk (DDI) is defined
% Trap gamma % Trap gamma
Params.gx=(Params.wx/w0)^2; Params.gx = (Params.wx/w0)^2;
Params.gy=(Params.wy/w0)^2; Params.gy = (Params.wy/w0)^2;
Params.gz=(Params.wz/w0)^2; Params.gz = (Params.wz/w0)^2;
% == Calculate LHY correction == % % == Calculate LHY correction == %
eps_dd = Params.add/Params.as; eps_dd = Params.add/Params.as;
@ -83,6 +82,11 @@ end
Params.gammaQF = 128/3*sqrt(pi*(Params.as/l0)^5)*Q5; Params.gammaQF = 128/3*sqrt(pi*(Params.as/l0)^5)*Q5;
% Loading the rest into Params % Loading the rest into Params
Params.hbar = hbar; Params.kbol = kbol; Params.mu0 = mu0; Params.muB = muB; Params.a0 = a0; Params.hbar = hbar;
Params.w0 = w0; Params.l0 = l0; Params.kbol = kbol;
Params.mu0 = mu0;
Params.muB = muB;
Params.a0 = a0;
Params.w0 = w0;
Params.l0 = l0;
end end