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arXiv:quant-ph/0503076 · Journal of Mathematical Physics

k -component q-deformed charge coherent states and their nonclassical properties

Xiaolin Liu, C. Quesne, F. Song

Published Jul 1, 2005• 4 citations
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Abstract

k -component q-deformed charge coherent states are constructed, their (over)completeness proved and their generation explored. The q-deformed charge coherent states and the even (odd) q-deformed charge coherent states are the two special cases of them as k becomes 1 and 2, respectively. A D-algebra realization of the SUq(1,1) generators is given in terms of them. Their nonclassical properties are studied and it is shown that for k⩾3, they exhibit two-mode q-antibunching, but neither SUq(1,1) squeezing, nor one- or two-mode q-squeezing.

DOI
10.1063/1.1951607

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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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