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example.m
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example.m
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% import and show the precalculated K matrices from
%../Calculated/Kernel -- these correspond to the Wigner function
Ndim = 2; %set the dimension Ndim=2J+1 of the system
Kcoeffs = precalculatedKcoeffs(Ndim);
disp(['Example of precalculatedtransofmation matrices for dimession ', num2str(Ndim)])
for l=1:(2*Ndim-1)
disp(['l = ', num2str(l-Ndim)])
disp(squeeze(Kcoeffs(l,:,:)))
end
%set the dimension Ndim=2J+1 of the system
Ndim = 10;
%import the precalculated K coefficients
%from ../Calculated/Kernel which correspond to
%the Wigner function
Kcoeffs = precalculatedKcoeffs(Ndim);
%set the number of points along
%THETA and PHI after the Fourier transformation
%increasing the number of points results in a
%smoother plot
finalpoints = 128;
%prepare the deisred density matrix
%this is a Schroedinger cat state now
vec = zeros(Ndim);
vec(1) = 1/sqrt(2);
vec(Ndim) = 1/sqrt(2);
rho = mtimes(vec,ctranspose(vec));
%calculate the Wigner function of the density matrix
psrep = PSrepresentationFromFourier(rho, Kcoeffs, Ndim, finalpoints);
%plot the Wigner function
theta = linspace(0,pi,length(psrep));
phi = linspace(0,2*pi,length(psrep));
surf(phi, theta, real(psrep))