Nonlinear squeezed states for SU(1,1) Lie algebra
Mathematics Department Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt
Corresponding author: a email@example.com
Revised: 31 July 2006
Published online: 1 September 2006
The nonlinear extensions of the single-mode squeezed vacuum and squeezed coherent states are studied. We have constructed the nonlinear squeezed states (NLSS's) realization of SU(1,1) Lie algebra. Two cases of this realization are considered for unitary and non-unitary deformation operator function. The nonlinear squeezed coherent states (NLSCS's) are defined and special cases of these states are obtained. Some nonclassical properties of these states are discussed. The s-parameterized characteristic function and various moments are calculated. The Glauber second-order coherence function is calculated. The squeezing properties of the NLSCS's are studied. Analytical and numerical results for the quadrature component distributions for the NLSCS's are presented. A generation scheme for NLSCS's using the trapped ions centre-of-mass motion approach is proposed.
PACS: 42.50.-p – Quantum optics / 42.50.Dv – Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006