Atomic coherent states studied by virtue of the EPR entangled state and their Wigner functions |
| |
| Authors: | Hong-yi Fan J Chen |
| |
| Institution: | (1) CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China, CN;(2) Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, P.R. China, CN;(3) Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China, CN |
| |
| 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.
Received 7 August 2002 / Received in final form 14 December 2002 Published online 24 April 2003
RID="a"
ID="a"Work supported by the National Natural Science Foundation of China under grant 10175057.
RID="b"
ID="b"e-mail: fhym@sjtu.edu.en |
| |
| Keywords: | PACS 42 50 -p Quantum optics – 05 30 -d Quantum statistical mechanics – 03 65 -w Quantum mechanics |
| 本文献已被 SpringerLink 等数据库收录！ |
|
