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15 votes
1 answer
3k views

Understanding the relationship between Phase Space Distributions (Wigner vs Glauber-Sudarshan P vs Husimi Q)

I am moving into a new field and after thorough literature research need help appreciating what is out there. In the continuos variable formulation of optical state space. (Quantum mechanical/Optical) ...
ckrk's user avatar
  • 630
1 vote
0 answers
29 views

Can we get quasiprobability distributions other than $P,Q,W$ from generalised characteristic functions?

It's a standard result that the three well-known quasiprobability distributions can all be expressed in terms of the "$s$-ordered characteristic functions" as $$ W(\alpha) = \int\frac{d^2\...
glS's user avatar
  • 14.8k
1 vote
1 answer
281 views

Pegg-Barnett phase implementation does not seem to work

I attempt to monitor the phase of a wavevector $|\psi\rangle$. As I found (e.g. here ), a matrix representation for the Pegg-Barnett phase operator in Fock base can be obtained as $$\Phi=\sum_{m,n,...
Wouter's user avatar
  • 1,620