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理论物理通讯：英文版

One-Sided Squeezing for Two Special Kinds of Tripartite Entangled States

FANHong-Yi, GUIWei-Jun

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

Based on two mutual conjugate tripartite entangled states |η, σ〉θ and |ζ, τ〉θ we generalize the two-mode one-sided squeezing operators to three-mode case. We derive how the tripartite entangled states transform under the three-mode squeezing operators. We conclude that the entangled state representations provide a convenient basis for deriving various three-mode squeezing operators.

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Based on two mutual conjugate tripartite entangled states |η, σ〉θ and |ζ, τ〉θ we generalize the two-mode one-sided squeezing operators to three-mode case. We derive how the tripartite entangled states transform under the three-mode squeezing operators. We conclude that the entangled state representations provide a convenient basis for deriving various three-mode squeezing operators.
We introduce the three-mode entangled state and set up an experiment to generate it. Then we discuss the three-mode squeezing operator squeezed | p , χ 2 , χ 3 ⟩ → μ -3/2 | p /μ, χ 2 /μ, χ 3 /μ ⟩ and the optical implement to realize such a squeezed state. We also reveal that c -number asymmetric shrink transform in the three-mode entangled state, i.e. | p , χ 2 , χ 3 ⟩ → μ -1/2 | p /μ, χ 2 , χ 3 ⟩, maps onto a kind of one-sided three-mode squeezing operator exp {iλ/3 (∑ i =1 3 P i ) (∑ i =1 3 Q i ) − λ/2}. Using the technique of integration within an ordered product (IWOP) of operators, we derive their normally ordered forms and construct the corresponding squeezed states.
We introduce the three-mode entangled state and set up an experiment to generate it. Then we discuss the three-mode squeezing operator squeezed | p, x2, x3> →μ-3/2|p/μ, x2/μ, x3/μ> and the optical implement to realize such a squeezed state. We also reveal that c-number asymmetric shrink transform in the three-mode entangled state, i.e. |p, x2,x3> →μ-1/2|p/μ,x2,x3>, maps onto a kind of one-sided three-mode squeezing operator exp{iλ/3(∑3i=1 Pi) (∑3i=1 Qi) - λ/2}. Using the technique of integration within an ordered product (IWOP) of operators, we derive their normally ordered forms and construct the corresponding squeezed states.