Atomic coherent states studied by virtue of the EPR entangled state and their Wigner functions

Abstract

Based on the newly constructed Einstein, Podolsky and Rosen (EPR) entangled state representation we introduce macroscopic classical functions associated with atomic coherent state τ with angular momentum value j. These functions are proportional to the ordinary one-variable Hermite polynomials of order 2j. The corresponding Wigner quasiprobability function for τ in phase space is also derived which turns out to be a two-variable Hermite polynomial H 2j, 2j. In so doing, a new classical-quantum correspondence scheme for angular momentum system is established.