On a general formalism of nonlinear charge coherent states, their quantum statistics and nonclassical properties

Details On a general formalism of nonlinear charge coherent states, their quantum statistics and nonclassical properties On a general formalism of nonlinear charge coherent states, their quantum statistics and nonclassical properties

2010-11-16

arxiv.org/abs/1011.3605v1

International Journal of Modern Physics A: Vol. 25, No. 17 (2010) 3481-3504

Physics

Quantum Physics

22 pages,12 figures

Scientific paper

10.1142/S0217751X10049414

In this paper, we will present a general formalism for constructing the nonlinear charge coherent states which in special case lead to the standard charge coher- ent states. The suQ(1;1) algebra as a nonlinear deformed algebra realization of the introduced states is established. In addition, the corresponding even and odd nonlinear charge coherent states have been also introduced. The formalism has the potentiality to be applied to systems either with known "nonlinearity function" f(n) or solvable quantum system with known "discrete non-degenerate spectrum" en. As some physical appearances, a few known physical systems in the two mentioned cat- egories have been considered. Finally, since the construction of nonclassical states is a central topic of quantum optics, nonclassical features and quantum statisti- cal properties of the introduced states have been investigated by evaluating single- and two-mode squeezing, su(1;1)-squeezing, Mandel parameter and antibunching effect (via g-correlation function) as well as some of their generalized forms we have introduced in the present paper.

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