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

TL;DR

This paper develops a comprehensive formalism for nonlinear charge coherent states, explores their algebraic structure, introduces even and odd variants, and investigates their nonclassical quantum optical properties such as squeezing and antibunching.

Contribution

It presents a general framework for nonlinear charge coherent states, including algebraic realization and nonclassical properties, applicable to various quantum systems with known spectra or nonlinearity functions.

Findings

Established suQ(1;1) algebra realization of states

Analyzed nonclassical features like squeezing and antibunching

Demonstrated applicability to physical quantum systems

Abstract

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.