Statistical properties for a class of nonlinear squeezed states

WANGJi-Suo, Ji-Suo, Liu . +5 more

In our preceding work, a class of k-quantum nonlinear coherent states, i.e., the k eigenstates of the powersBk (k ≥ 3) of the annihilation operator B=-a1/f(N) of f-oscillators, are introduced. In this paper, we introduce a newkind of higher-order squeezing and an antibunching effect. The quantum statistical properties of the k states are studied.The result shows that the M-th order [M = (n + 1/2)k; n = 0, 1,...] squeezing effects exist in all of the k states when kis even. There is the antibunching effect in all of the k states.

Song Tong-Qiang, Hong-Yi Fan

Ji‐Suo Wang, Tang-Kun Liu, Feng Jian +1 more

In our preceding work, a class of k-quantum nonlinear coherent states, i.e., the k eigenstates of the powers (B) over cap (k) (k greater than or equal to 3) of the annihilation operator (B) over cap = (a) over cap1/f((N) over cap) of f-oscillators, are introduced. In this paper, we introduce a new kind of higher-order squeezing and an antibunching effect. The quantum statistical properties of the k states are studied. The result shows that the M-th order [M = (n + 1/2)k; n = 0, 1,...] squeezing effects exist in all of the k states when k is even. There is the antibunching effect in all of the k states.

A. D. Jannussis, Vasileios Bartzis

N. Asili Firouzabadi, Mohammad Kazem Tavassoly

In this paper, we intend to introduce a particular class of radiation field which is called nonlinear displaced number states. Then we will investigate a few of their non-classical properties, like sub-Poissonian statistics, quadratuer squeezing, amplitude-squared squeezing, Husimi and Wigner quasi-distribution functions.

范洪义, 笪诚, 陈俊华