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 $.
Received: 29 January 2008
Revised: 20 March 2008
Accepted manuscript online:
Fund: 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).
Cite this article:
Meng Xiang-Guo(孟祥国), Wang Ji-Suo(王继锁), and Liu Tang-Kun(刘堂昆) Finite-dimensional even and odd nonlinear pair coherent states and their some nonclassical properties 2008 Chin. Phys. B 17 3350
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