Calculations/Dipolar-Gas-Simulator/+VariationalSolver2D/@Calculator/calculateTotalEnergy.m

34 lines
1.2 KiB
Matlab

function E = calculateTotalEnergy(~,psi,Params,VParams,Transf,VDk,V)
g_eff = Params.gs * (1/(sqrt(2*pi)*VParams.ell));
gamma_eff = Params.gammaQF * (sqrt(2/5)/(pi^(3/4)*VParams.ell^(3/2)));
Ez = (0.25*VParams.ell^2) + (0.25*Params.gz*VParams.ell^2);
% Parameters
KEop = 0.5*(Transf.KX.^2+Transf.KY.^2);
normfac = Params.Lx*Params.Ly/numel(psi);
% DDIs
frho = fftn(abs(psi).^2);
Phi = real(ifftn(frho.*VDk));
Eddi = 0.5*Params.gdd*Phi.*abs(psi).^2/(sqrt(2*pi)*VParams.ell);%
Eddi = trapz(Eddi(:))*Transf.dx*Transf.dy;
% Kinetic energy
Ekin = KEop.*abs(fftn(psi)*normfac).^2;
Ekin = trapz(Ekin(:))*Transf.dkx*Transf.dky/(2*pi)^2;
% Potential energy
Epot = V.*abs(psi).^2;
Epot = trapz(Epot(:))*Transf.dx*Transf.dy;
% Contact interactions
Eint = 0.5*g_eff*abs(psi).^4;
Eint = trapz(Eint(:))*Transf.dx*Transf.dy;
% Quantum fluctuations
Eqf = 0.4*gamma_eff*abs(psi).^5;
Eqf = trapz(Eqf(:))*Transf.dx*Transf.dy;
E = Ez*Params.N + Ekin + Epot + Eint + Eddi + Eqf;
end