Squeezing Transformation of Three-Mode Entangled State

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...

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Bibliographic Details
Published in:Communications in theoretical physics 2005-11, Vol.44 (5), p.911-916
Main Authors: Qian, Xiao-Qing, Song, Tong-Qiang
Format: Article
Language:English
Subjects:
三模式纠缠状态
挤压转化
量子信息
非对称收缩
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Summary: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 {iλ （∑i^3=1 Pi） （∑i^3=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.
ISSN:0253-6102
DOI:10.1088/6102/44/5/911