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IOSR Journal of Applied Physics

Nonclassical Properties of a Class of Nonlinear Pair Coherent State

H. H. Salah

Published Jan 1, 2017• 0 citations
Publisher

Abstract

In the present work a class of nonlinear pair coherent state introduced depending on the form of the nonlinearity function with examining some of its nonclassical properties.In particular, it is shown that such state exhibits nonclassical properties such as squeezing and sub-Poissonian behaviour.Also, the quasiprobability distribution functions (Wigner-function, Q-function) are discussed.Finally, the phase properties in Pegg-Barnett formalism is considered.

DOI
10.9790/4861-0901014150

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In the present work a class of nonlinear pair coherent state introduced depending on the form of the nonlinearity function with examining some of its nonclassical properties.In particular, it is shown that such state exhibits nonclassical properties such as squeezing and sub-Poissonian behaviour.Also, the quasiprobability distribution functions (Wigner-function, Q-function) are discussed.Finally, the phase properties in Pegg-Barnett formalism is considered.
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In this paper, after a brief review on the entangled coherent state, a general form of the entangled nonlinear coherent state has been introduced based on the nonlinear coherent states approach. By choosing particular f-deformation functions, theoretical schemes for generation of two distinct classes of such states associated with SU(1,1) and SU(2) groups are presented. The entanglement characteristic of the corresponding entangled coherent states has been studied by evaluating the concurrence. In the continuation, other nonclassical behaviors of the produced states have been analyzed by investigating sub-Poissonian photon statistics, the oscillatory photon number distribution, one- and two-mode quadrature squeezing, and sum and difference squeezing. Accordingly, in addition to their entanglement property, other nonclassicality features of the introduced states are well established in detail.