Generalized Two-Mode Squeezed States and Some Nonclassical Characteristics

• DOI: 10.1007/s10773-009-0134-7
• Publication Date: 2009-09-11T15:49:03Z
• Authors: Hong-Chun Yuan; Heng-Mei Li; Ye-Jun Xu; Hong-Yi Fan
• Keywords: Wigner distribution function; Mode (computer interface); Operator (biology); Representation

A class of generalized two-mode squeezed states |φ〉 is presented, which are generated from the generalized two-mode squeezing operator U(γ,λ) acting on the two-mode coherent state |α 1,α 2〉. We first investigate some mathematical properties of U(γ,λ) including the squeezing transformation under U(γ,λ), ket-bra integral form in the coordinate representation, normally ordered form. Then we evaluate some nonclassical characteristics of the state |φ〉 such as higher-order squeezing behavior, entanglement analysis and analytical expression of the Wigner function.