Atomic coherent states studied by virtue of the EPR entangled state and their Wigner functions |
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| Authors: | Hong-yi Fan J. Chen |
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| Affiliation: | (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 |
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| 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 |
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| Keywords: | PACS. 42.50.-p Quantum optics – 05.30.-d Quantum statistical mechanics – 03.65.-w Quantum mechanics |
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