Communications in Theoretical Physics
Four-Particle Entangled State Representation and Its Squeezing Transformation
Song Tong-Qiang
Abstract
The four-particle EPR entangled state | p ,χ 2 ,χ 3 ,χ 4 ⟩ is constructed. The corresponding quantum mechanical operator with respect to the classical transformation p → e λ 1 p , χ 2 → e λ 2 χ 2 , χ 3 → e λ 3 χ 3 , and χ 4 → e λ 4 χ 4 in the state | { p ,χ 2 ,χ 3 ,χ 4 }⟩ is investigated, and the four-mode realization of the SU(1,1) Lie algebra as well as the corresponding squeezing operators are presented.