中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2973-2978.doi: 10.1088/1674-1056/17/8/035

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The q-analogues of two-mode squeezed states constructed by virtue of the IWOP technique

李洪奇1, 孟祥国2, 王继锁2   

  1. (1)Department of Physics, Heze University, Heze 274015, China; (2)Department of Physics, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2007-12-16 修回日期:2008-01-04 出版日期:2008-08-20 发布日期:2008-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10574060) and the Natural Science Foundation of Liaocheng University of China (Grant No X071049).

The q-analogues of two-mode squeezed states constructed by virtue of the IWOP technique

Meng Xiang-Guo(孟祥国)a)†, Wang Ji-Suo(王继锁)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:2007-12-16 Revised:2008-01-04 Online:2008-08-20 Published:2008-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10574060) and the Natural Science Foundation of Liaocheng University of China (Grant No X071049).

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摘要： The $q$-analogues of two-mode squeezed states are introduced by virtue of deformation quantization methods and the technique of integration within an ordered product (IWOP) of operators. Some new completeness relations about these squeezed states composed of the bra and ket which are not mutually Hermitian conjugates are obtained. Furthermore, the antibunching effects of the two-mode squeezed vacuum state $S_2' (r)\left| {00} \right\rangle $ are investigated. It is found that, in different ranges of the squeezed parameter $r$, both modes of the state exhibit the antibunching effects and the two modes of the state are always nonclassical correlation.

关键词: $q$-analogue of two-mode squeezed state, IWOP technique, completeness relation, antibunching effect

Abstract: The $q$-analogues of two-mode squeezed states are introduced by virtue of deformation quantization methods and the technique of integration within an ordered product (IWOP) of operators. Some new completeness relations about these squeezed states composed of the bra and ket which are not mutually Hermitian conjugates are obtained. Furthermore, the antibunching effects of the two-mode squeezed vacuum state $S_2' (r)\left| {00} \right\rangle $ are investigated. It is found that, in different ranges of the squeezed parameter $r$, both modes of the state exhibit the antibunching effects and the two modes of the state are always nonclassical correlation.

Key words: $q$-analogue of two-mode squeezed state, IWOP technique, completeness relation, antibunching effect

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

  • 42.50.Dv
03.65.Ge (Solutions of wave equations: bound states)