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.
Received: 16 December 2007
Revised: 04 January 2008
Accepted manuscript online:
Fund: 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).
Cite this article:
Meng Xiang-Guo(孟祥国), Wang Ji-Suo(王继锁), and Li Hong-Qi(李洪奇) The q-analogues of two-mode squeezed states constructed by virtue of the IWOP technique 2008 Chin. Phys. B 17 2973
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