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Modern Physics Letters B

EVEN AND ODD DISPLACED NUMBER STATE

Guilherme Colherinhas, Paulo S. Melo, CELIA M. A. DANTAS, Elias de Souza Leite

Published Nov 20, 2005• 1 citation
Publisher

Abstract

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.

DOI
10.1142/s021798490500916x

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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.
In this paper, first, we introduce special types of entangled quantum states named “entangled displaced even and odd squeezed states” by using displaced even and odd squeezed states which are constructed via the action of displacement operator on the even and odd squeezed states, respectively. Next, we present a theoretical scheme to generate the introduced entangled states. This scheme is based on the interaction between a [Formula: see text]-type three-level atom and a two-mode quantized field in the presence of two strong classical fields. In the continuation, we consider the entanglement feature of the introduced entangled states by evaluating concurrence. Moreover, we study the influence of the displacement parameter on the entanglement degree of the introduced entangled states and compare the results. It will be observed that the concurrence of the “entangled displaced odd squeezed states” has less decrement with respect to the “entangled displaced even squeezed states” by increasing the displacement parameter.
Ganeral distance function D (r,r_0,φ).between a coherent state |α_0and a superposition cpjeremt state of stidoed nu Ludwig Knll's definition.Acorrding to D (r,r_0, φ),the separabiloity relationship amount |α_0 to)and |Ψ are dicussed.It's found that the simiilitude degrees of |α_0)and |Ψ correlete wity distance of every coherent state is displaced in copmlex plane the difference of |α_0 and |Ψand superposition phase;The similitudes of odd,even and |α_0and |Ψ are studied carefully.