中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2300-2306.doi: 10.1088/1674-1056/18/6/031

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Quasiprobability distributions of a new kind of even and odd nonlinear coherent states

梁宝龙1, 孟祥国2, 王继锁2   

  1. (1)Department of Physics, Liaocheng University, Liaocheng 252059, China; (2)Department of Physics, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2008-11-21 修回日期:2008-12-04 出版日期:2009-06-20 发布日期:2009-06-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Shandong Province of China (Grant No Y2008A23) and the Natural Science Foundation of Liaocheng University (Grant No X071049).

Quasiprobability distributions of a new kind of even and odd nonlinear coherent states

Meng Xiang-Guo(孟祥国)†, Wang Ji-Suo(王继锁), and Liang Bao-Long(梁宝龙)   

  1. Department of Physics, Liaocheng University, Liaocheng 252059, China
  • Received:2008-11-21 Revised:2008-12-04 Online:2009-06-20 Published:2009-06-20
  • Supported by:
    Project supported by the Natural Science Foundation of Shandong Province of China (Grant No Y2008A23) and the Natural Science Foundation of Liaocheng University (Grant No X071049).

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摘要： Using a numerical computational method, quasiprobability distributions of new kinds of even and odd nonlinear coherent states (EONLCS) are investigated. The results show that the distributions of the new even nonlinear coherent states (NLCS) are distinct from those of the new odd NLCS and imply that the new EONLCS always exhibit some different nonclassical effects. Finally, with the aid of newly introduced intermediate coordinate-momentum representation in quantum optics, the tomograms of the new EONLCS are calculated. This is a new way of obtaining the tomogram function.

关键词: even and odd nonlinear coherent state, Wigner W% -function, Husimi Q-function, tomogram

Abstract: Using a numerical computational method, quasiprobability distributions of new kinds of even and odd nonlinear coherent states (EONLCS) are investigated. The results show that the distributions of the new even nonlinear coherent states (NLCS) are distinct from those of the new odd NLCS and imply that the new EONLCS always exhibit some different nonclassical effects. Finally, with the aid of newly introduced intermediate coordinate-momentum representation in quantum optics, the tomograms of the new EONLCS are calculated. This is a new way of obtaining the tomogram function.

Key words: even and odd nonlinear coherent state, Wigner W -function, Husimi Q-function, tomogram

中图分类号: 

  • 42.50.Ar
37.10.Vz (Mechanical effects of light on atoms, molecules, and ions) 42.50.Dv (Quantum state engineering and measurements)