Wigner function of optical cumulant operator and its dissipation in thermo-entangled state representation

Abstract

To conveniently calculate the Wigner function of the optical cumulant operator and its dissipation evolution in thermo environments, this paper introduces the thermo entangled state representation to derive the general evolution formula of the Wigner function, and its relation to Weyl correspondence is also discussed. The method of integration within ordered product of operators is essential to our discussion.