c © TÜBİTAK Nonlinear Two-Mode Squeezed Vacuum States as Realization of SU(1,1) Lie Algebra

Nonlinear extensions of the two-mode squeezed vacuum states (NTMSVS’s) are constructed and special cases of these states are discussed. We have constructed the NTMSVS’s realization of SU(1,1) Lie algebra. Two cases of the definition are considered for unitary and non-unitary deformation operator functions. Some nonclassical properties of these states are discussed. Key Words: Non-classical field states, two-mode squeezed vacuum states, nonlinear two-mode coherent states, nonlinear pair coherent states, squeezing, two-mode SU(1,1) lie algebra coherent states. PACS numbers: 42.50-p, 42.50 Dv 1