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New Even and Odd Nonlinear Coherent States and Their Nonclassical Properties
Authors:Ji-Suo Wang  Jian Feng  Yun-Feng Gao  Tang-Kun Liu  Ming-Sheng Zhan
Institution:(1) Department of Physics, Liaocheng University, Shandong, People's Republic of China;(2) State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, People's Republic of China;(3) Department of Physics, Hubei Normal University, Hubei, People's Republic of China
Abstract:Based on Roy and Roy's work (Roy, B. and Roy, P. (2000). Journal of Optics B: Quantum Semiclass. Opt. 2, 65), a new type of even and odd nonlinear coherent states (NCSs) are defined. They result from Schrödinger cat states for deformed field. Using the numerical method, we study nonclassical properties of the new even and odd NCSs. It is shown that quantum statistical properties of the new even and odd NCSs are quite different from those of the usual even and odd coherent states (CSs). It is found that the squeezing only consists in the new even NCS, and the amplitude-squared squeezing and antibunching effect appear for both new even and odd NCSs in some ranges of |beta|.
Keywords:even and odd nonlinear coherent states  squeezing  amplitude-squared squeezing  antibunching effect
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