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arXiv:1203.2438 · Journal of Physics A Mathematical and Theoretical

Even and odd nonlinear charge coherent states and their nonclassical properties

X-M Liu, B Li

Published Oct 2, 2012• 4 citations
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Abstract

The (over)completeness of even and odd nonlinear charge coherent states is proved and their generation explored. They are demonstrated to be generalized entangled nonlinear coherent states. A $D$-algebra realization of the SU$_f$(1,1) generators is given in terms of them. They are shown to exhibit SU$_f$(1,1) squeezing and two-mode $f$-antibunching for some particular types of $f$-nonlinearity, but neither one-mode nor two-mode $f$-squeezing.

DOI
10.1088/1751-8113/45/41/415307

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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 coherent states. The su Q(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 also been 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 nondegenerate spectrum" en. As some physical appearances, a few known physical systems in the two mentioned categories have been considered. Finally, since the construction of nonclassical states is a central topic of quantum optics, nonclassical features and quantum statistical 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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