中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1791-1797.doi: 10.1088/1674-1056/17/5/040

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Wigner function for the generalized excited pair coherent state

李洪奇1, 孟祥国2, 王继锁2, 梁宝龙2   

  1. (1)Department of Physics, Heze University, Heze 274015, China; (2)Department of Physics, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2007-08-30 修回日期:2007-11-08 出版日期:2008-05-20 发布日期:2008-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10574060) and the Natural Science Foundation of Shandong Province of China (Grant No Y2004A09).

Wigner function for the generalized excited pair coherent state

Meng Xiang-Guo(孟祥国)a)†, Wang Ji-Suo(王继锁)a), Liang Bao-Long(梁宝龙)a), and Li Hong-Qi(李洪奇)b)   

  1. a Department of Physics, Liaocheng University, Liaocheng 252059, China; b Department of Physics, Heze University, Heze 274015, China
  • Received:2007-08-30 Revised:2007-11-08 Online:2008-05-20 Published:2008-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10574060) and the Natural Science Foundation of Shandong Province of China (Grant No Y2004A09).

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摘要： This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state $|\eta\rangle$ representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the $\rho$--$\gamma$ phase space, the variations of the Wigner function distributions with the parameters $q$, $\alpha$, $k$ and $l$ are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the Wigner operator and the projection operator of the entangled state $|\eta_1, \eta_2, \tau_1, \tau_2\rangle$. The entangled states $|\eta\ragnle$  and $|\eta_1, \eta_2, \tau_1, \tau_2$ provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states.

关键词: generalized excited pair coherent state, Wigner function, tomogram, entangled state representation

Abstract: This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state $|\eta\rangle$ representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the $\rho$--$\gamma$ phase space, the variations of the Wigner function distributions with the parameters $q$, $\alpha$, $k$ and $l$ are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the Wigner operator and the projection operator of the entangled state $|\eta_1, \eta_2, \tau_1, \tau_2\rangle$. The entangled states $|\eta\rangle$  and $|\eta_1, \eta_2, \tau_1, \tau_2$ provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states.

Key words: generalized excited pair coherent state, Wigner function, tomogram, entangled state representation

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

  • 42.50.Dv
02.30.Uu (Integral transforms) 03.65.Ud (Entanglement and quantum nonlocality)