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Journal of Physics A Mathematical and General

New tripartite entangled state generated by an asymmetric beam splitter and a parametric down-conversion amplifier

Liyun Hu, Hong-Yi Fan

Published Oct 24, 2006• 10 citations
Publisher

Abstract

In three-mode Fock space we construct a new tripartite entangled state |α, γ⟩ θλ which makes up a new quantum mechanical representation. The state |α, γ⟩ θλ can be generated by using the set-up composed of an asymmetric beam splitter and a parametric down-conversion amplifier. We then show how to use |α, γ⟩ θλ to find new squeezing operator and new squeezed state.

DOI
10.1088/0305-4470/39/45/021

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In three-mode Fock space we construct a new tripartite entangled state |α, γ⟩ θλ which makes up a new quantum mechanical representation. The state |α, γ⟩ θλ can be generated by using the set-up composed of an asymmetric beam splitter and a parametric down-conversion amplifier. We then show how to use |α, γ⟩ θλ to find new squeezing operator and new squeezed state.
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A new kind of tripartite non-symmetric coordinate coherent-entangled state (TNCCES) $ | β,γ,x >$ is proposed which exhibits the properties of both coherence and entanglement and makes up a new quantum mechanical representation.We investigate some properties of TNCCES such as completeness and orthogonality which prove it is just a tripartite complete continuous coordinate base. A protocol for generating TNCCES is proposed using asymmetric beam splitter. And in application of TNCCES, we find its corresponding Wigner operator and carry out its marginal distribution form; further a new tripartite entangled squeezed operator is also presented. The multipartite CES and its generation are also disussed.