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Journal of Atomic and Molecular Physics

Antibunching effect of a new kind of odd and even nonlinear coherent states in a finite-dimensional Hilbert space

Lu Dao

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Using the numerical method,the antibunching effects of a new kind of odd and even nonlinear coherent states in a finite-dimensional Hilbert space are studied.The results show that the new kind of odd nonlinear coherent state exhibits antibunching effect and the new kind of even nonlinear coherent state does not exhibits antibunching effect in a finite-dimensional Hilbert space.

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Using the numerical method,the antibunching effects of a new kind of odd and even nonlinear coherent states in a finite-dimensional Hilbert space are studied.The results show that the new kind of odd nonlinear coherent state exhibits antibunching effect and the new kind of even nonlinear coherent state does not exhibits antibunching effect in a finite-dimensional Hilbert space.
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.