Amplitude-Squared Squeezing of a New Kind of Nonlinear Coherent State

Hari Prakash, Pankaj Kumar

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

A new kind of even and odd nonlinear coherent states (EONLCS) is constructed. Using the numerical computation method, the non-classical properties such as squeezing, amplitude-squared squeezing, anti-bunching and phase probability distribution of the new EONLCS are investigated. The results show that, in the different ranges of the parameter |λ|, the new EONLCS exhibits amplitude-squared squeezing in the directions Y1 and Y2. The squeezing effect is shown in the direction X2 for new even nonlinear coherent states, and the anti-bunching effect is shown for new odd nonlinear coherent states. Moreover, we find that the new EONLCS exhibit different quntum interference properties by studying the probability distributions of the states.

Jian‐Sheng Wang, Jie Feng, TK Liu +1 more

A new kind of even and odd nonlinear coherent states are defined. Using the numerical method, we have studied quantum statistical properties of the new even and odd nonlinear coherent states. It is shown that quantum statistical properties of the new even and odd nonlinear coherent states are very different from those of the usual even and odd coherent states. It is found that, in some ranges of 1beta1, the squeezing only exists in the new even nonlinear coherent state, and the amplitude-squared squeezing and antibunching effect appear for both new even and odd nonlinear coherent states.

Hari Prakash, Pankaj Kumar

Yongxin Zhan

In the paper,a new kind of even and odd nonlinear coherent states is constructed in the Fock space. Using numerical method,their quantum statistical properties such as amplitude-squeezing and anti-bunching are investigated. The results show that in the range of |α|,amplitude-squeezing effect and anti-bunching effect appear in the direction X2 in the new kind of even and odd coherent states.

S. Abdel‐Khalek, I. A. Osman, K. K. Kabashi