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Journal of Physics A Mathematical and General

New two-mode coherent-entangled state and its application

Hong-Yi Fan, Lu Hai-Liang

Published Oct 29, 2004• 33 citations
Publisher

Abstract

We introduce the so-called coherent-entangled state in the two-mode Fock space; this state exhibits both the properties of the coherent and entangled states. Generalized -representation in the coherent-entangled state is constructed. A protocol for producing the ideal coherent-entangled state is presented. It is shown that the bipartite entangled state can be a superposition of the coherent-entangled states.

DOI
10.1088/0305-4470/37/45/017

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The coherent-intermediate-entangled state |α, x ⟩ λ,ν is proposed in the two-mode Fock Space, which exhibits both the properties of the coherent and entangled states. The |α, x ⟩ λ,ν makes up a new quantum mechanical representation, and the completeness relation of |α, x ⟩ λ,ν is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operators are derived. Furthermore, Generalized P-representation is constructed in the coherent-intermediate-entangled state |α, x ⟩ λ,ν and the Schmidt decomposition of |α, x ⟩ λ,ν is investigated.
A new kind of four-mode continuous variable coherent-entangled state is proposed in the Fock space by using the technique of integration within an ordered product, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of the four-mode continuous variable coherent-entangled state is derived by using the Fourier transformation. Moreover, a simple experimental protocol of generating a four-mode continuous variable coherent-entangled state is proposed by using beam splitters. As applications of this four-mode continuous variable coherent-entangled state, a four-mode entangled state and a four-mode squeezing-Fresnel operator are constructed.