Phase properties of pair coherent states

Faisal A. A. El-Orany, Jan Peřina

Won Sang Chung, HASSAN HASSANABADI

A.‐S. F. Obada, Eied Mahmoud Khalil

Meng Xiang-Guo, Ji‐Suo Wang, 聊城大学物理系,聊城 252059

The exponential form of even and odd pair coherent state (EOPCS) is constructed. The EOPCS is generalized to a finite dimensional EOPCS in the Hilbert space, and then its orthonormalized property, completeness relations and some noncalssical properties are discussed. It is shown that the finite dimensional EOPCS has normalized and completeness relations, but not orthogonal relations. By virtue of the numerical computation method, we find that, for any value of q, in different ranges of the parameter |ξ| the 5-dimensional EOPCS for the modes 1 and 2 exhibit anti-bunching effect and the photons between the two modes are always correlated. The different peak structures of the phase probability distributions for the 7-dimensional EOPCS show remarkably different quantum interference properties.

Zhongqing Wang, Chang‐Kui Duan

Based on our previous work, the phase state and phase operator introduced by Pegg and Barnett are generalized to two-mode q-deformed circumstances. With the aid of numerical method, the phase probability distributions of q-deformed pair coherent state are investigated. It is shown that these probability distributions of the state are regulated by the parameters of phase, the q-number and the magnitude of |ξ|. Therefore, the q-deformed pair coherent state exhibits different quantum interference properties.

M. M. Al'perin, Ya. D. Klubis