90 lines
2.6 KiB
Matlab
90 lines
2.6 KiB
Matlab
function [psi] = SplitStepFourier(psi,Params,Transf,VDk,V,njob,t_idx,Observ)
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set(0,'defaulttextInterpreter','latex')
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set(groot, 'defaultAxesTickLabelInterpreter','latex'); set(groot, 'defaultLegendInterpreter','latex');
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dt=-1j*abs(Params.dt);
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KEop= 0.5*(Transf.KX.^2+Transf.KY.^2+Transf.KZ.^2);
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Observ.residual = 1; Observ.res = 1;
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muchem = Simulator.ChemicalPotential(psi,Params,Transf,VDk,V);
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AdaptIdx = 0;
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while t_idx < Params.cut_off
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%kin
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psi = fftn(psi);
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psi = psi.*exp(-0.5*1i*dt*KEop);
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psi = ifftn(psi);
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%DDI
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frho = fftn(abs(psi).^2);
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Phi = real(ifftn(frho.*VDk));
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%Real-space
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psi = psi.*exp(-1i*dt*(V + Params.gs*abs(psi).^2 + Params.gammaQF*abs(psi).^3 + Params.gdd*Phi - muchem));
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%kin
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psi = fftn(psi);
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psi = psi.*exp(-0.5*1i*dt*KEop);
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psi = ifftn(psi);
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%Renorm
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Norm = trapz(abs(psi(:)).^2)*Transf.dx*Transf.dy*Transf.dz;
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psi = sqrt(Params.N)*psi/sqrt(Norm);
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muchem = Simulator.ChemicalPotential(psi,Params,Transf,VDk,V);
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if mod(t_idx,1000) == 0
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%Change in Energy
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E = Simulator.TotalEnergy(psi,Params,Transf,VDk,V);
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E = E/Norm;
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Observ.EVec = [Observ.EVec E];
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%Chemical potential
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Observ.mucVec = [Observ.mucVec muchem];
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%Normalized residuals
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res = Simulator.NormalizedResiduals(psi,Params,Transf,VDk,V,muchem);
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Observ.residual = [Observ.residual res];
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Observ.res_idx = Observ.res_idx + 1;
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save(sprintf('./Data/Run_%03i/psi_gs.mat',njob),'psi','muchem','Observ','t_idx','Transf','Params','VDk','V');
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%Adaptive time step -- Careful, this can quickly get out of control
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relres = abs(Observ.residual(Observ.res_idx)-Observ.residual(Observ.res_idx-1))/Observ.residual(Observ.res_idx);
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if relres <1e-5
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if AdaptIdx > 4 && abs(dt) > Params.mindt
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dt = dt / 2;
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fprintf('Time step changed to '); disp(dt);
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AdaptIdx = 0;
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elseif AdaptIdx > 4 && abs(dt) < Params.mindt
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break
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else
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AdaptIdx = AdaptIdx + 1;
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end
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else
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AdaptIdx = 0;
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end
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end
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if any(isnan(psi(:)))
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disp('NaNs encountered!')
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break
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end
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t_idx=t_idx+1;
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end
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%Change in Energy
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E = Simulator.TotalEnergy(psi,Params,Transf,VDk,V);
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E = E/Norm;
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Observ.EVec = [Observ.EVec E];
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% Phase coherence
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[PhaseC] = Simulator.PhaseCoherence(psi,Transf,Params);
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Observ.PCVec = [Observ.PCVec PhaseC];
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Observ.res_idx = Observ.res_idx + 1;
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save(sprintf('./Data/Run_%03i/psi_gs.mat',njob),'psi','muchem','Observ','t_idx','Transf','Params','VDk','V');
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end |