中国物理B ›› 2008, Vol. 17 ›› Issue (9): 3350-3357.doi: 10.1088/1674-1056/17/9/034

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Finite-dimensional even and odd nonlinear pair coherent states and their some nonclassical properties

刘堂昆1, 孟祥国2, 王继锁2   

  1. (1)Department of Physics, Hubei Normal University, Huangshi 435002, China; (2)Department of Physics, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2008-01-29 修回日期:2008-03-20 出版日期:2008-09-08 发布日期:2008-09-08
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant 10574060) and the Natural Science Foundation of Liaocheng University of China (Grant No X071049).

Finite-dimensional even and odd nonlinear pair coherent states and their some nonclassical properties

Meng Xiang-Guo(孟祥国)a)†, Wang Ji-Suo(王继锁)a), and Liu Tang-Kun(刘堂昆)b)   

  1. a Department of Physics, Liaocheng University, Liaocheng 252059, China; b Department of Physics, Hubei Normal University, Huangshi 435002, China
  • Received:2008-01-29 Revised:2008-03-20 Online:2008-09-08 Published:2008-09-08
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant 10574060) and the Natural Science Foundation of Liaocheng University of China (Grant No X071049).

摘要: In this paper a new class of finite-dimensional even and odd nonlinear pair coherent states (EONLPCSs), which can be realized via operating the superposed evolution operators $D_\pm (\tau )$ on the state $\left| {q,0} \right\rangle $, is constructed, then their orthonormalized property, completeness relations and some nonclassical properties are discussed. It is shown that the finite-dimensional EONLPCSs possess normalization and completeness relations. Moreover, the finite-dimensional EONLPCSs exhibit remarkably different sub-Poissonian distributions and phase probability distributions for different values of parameters $q$, $\eta $ and $\xi $.

关键词: finite-dimensional even and odd nonlinear pair coherent state, sub-Poissonian distribution, phase probability distribution

Abstract: In this paper a new class of finite-dimensional even and odd nonlinear pair coherent states (EONLPCSs), which can be realized via operating the superposed evolution operators $D_\pm (\tau )$ on the state $\left| {q,0} \right\rangle $, is constructed, then their orthonormalized property, completeness relations and some nonclassical properties are discussed. It is shown that the finite-dimensional EONLPCSs possess normalization and completeness relations. Moreover, the finite-dimensional EONLPCSs exhibit remarkably different sub-Poissonian distributions and phase probability distributions for different values of parameters $q$, $\eta $ and $\xi $.

Key words: finite-dimensional even and odd nonlinear pair coherent state, sub-Poissonian distribution, phase probability distribution

中图分类号: 

  • 42.50.Ar
02.50.Cw (Probability theory) 02.50.Ng (Distribution theory and Monte Carlo studies) 42.50.Dv (Quantum state engineering and measurements)