中国物理B ›› 2001, Vol. 10 ›› Issue (9): 821-826.doi: 10.1088/1009-1963/10/9/309

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UNCORRELATED TWO-MODE SU(1,1) COHERENT STATES

侯丽珍, 曾高坚   

  1. Department of Physics, Hunan Normal University, Changsha 410008, China
  • 收稿日期:2000-12-17 修回日期:2001-02-19 出版日期:2001-09-15 发布日期:2005-06-12

UNCORRELATED TWO-MODE SU(1,1) COHERENT STATES

Hou Li-zhen (侯丽珍), Zeng Gao-jian (曾高坚)   

  1. Department of Physics, Hunan Normal University, Changsha 410008, China
  • Received:2000-12-17 Revised:2001-02-19 Online:2001-09-15 Published:2005-06-12

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摘要： We have constructed a new kind of two-mode bosonic realization of SU(1,1) Lie algebra, on the basis of which the SU(1,1) generalized coherent states in the two-mode Fock space are derived. These two-mode SU(1,1) coherent states, which are called uncorrelated two-mode SU(1,1) coherent states, include three special cases. For these states, we study the mean photon number distribution and their non-classical properties, which are photon anti-bunching, violations of Cauchy－Schwarz inequality and two-mode squeezing.

Abstract: We have constructed a new kind of two-mode bosonic realization of SU(1,1) Lie algebra, on the basis of which the SU(1,1) generalized coherent states in the two-mode Fock space are derived. These two-mode SU(1,1) coherent states, which are called uncorrelated two-mode SU(1,1) coherent states, include three special cases. For these states, we study the mean photon number distribution and their non-classical properties, which are photon anti-bunching, violations of Cauchy－Schwarz inequality and two-mode squeezing.

Key words: uncorrelated two-mode SU(1, 1) coherent states, non-classical properties

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
02.10.Ud (Linear algebra)