Eur. Phys. J. D 23, 437-442 (2003)
https://doi.org/10.1140/epjd/e2003-00070-4

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

¹ CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China
² Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, P.R. China
³ Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China

Corresponding author: ^a fhym@sjtu.edu.en

Received: 7 August 2002
Revised: 14 December 2002
Published online: 24 April 2003

Abstract

Based on the newly constructed Einstein, Podolsky and Rosen (EPR) entangled state representation we introduce macroscopic classical functions associated with atomic coherent state 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 in phase space is also derived which turns out to be a two-variable Hermite polynomial . In so doing, a new classical-quantum correspondence scheme for angular momentum system is established.