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Chinese Journal of Quantum Electronics

A new kind of nonlinear superposition coherent states and their quantum statistical properties

YU Guo-chen

Published Jan 1, 2005• 0 citations
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Abstract

A new kind of nonlinear superposition coherent states are constructed. Using the numerical method, we have studied squeezing effect and antibunching effect of the states. It is shown that the quantum statistical propecties are related with superposition parameters.

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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.