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...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.展开更多
基金Open Foundation of Laboratory of High- Intensity Optics
文摘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.