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Modern Physics Letters B

NONLINEAR EVEN AND ODD DISPLACED NUMBER STATE

Guilherme Colherinhas, AGAMENON L. DO VALE, CELIA M. A. DANTAS

Published Aug 10, 2006• 4 citations
Publisher

Abstract

We introduce new quantum states of light field, called the nonlinear even and odd displaced number states, by introducing the nonlinearity. The statistical properties investigated presents several interesting quantum effects.
DOI
10.1142/s021798490601161x

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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.
In this paper we will study the statistical properties of a generalized superposition of two displaced number states of the form, [Formula: see text] with a phase difference of φ between them. A particular case of this state is obtained when we consider n1=n2=n and α1=-α2=α, which we will call even and odd displaced number state. It will be shown that they are the generalization of the even and odd coherent states. The generation of this states, based on the dispersive interaction with a two-level atom, will also be discussed.