Nonlinear squeezed states for SU(1,1) Lie algebra |
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Authors: | A-S F Obada G M Abd Al-Kader |
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Institution: | (1) Mathematics Department Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt |
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Abstract: | 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. |
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Keywords: | PACS" target="_blank">PACS 42 50 -p Quantum optics 42 50 Dv Nonclassical states of the electromagnetic field including entangled photon states quantum state engineering and measurements |
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