Even and odd nonlinear charge coherent states and their nonclassical properties

TL;DR

This paper investigates the properties of even and odd nonlinear charge coherent states, proving their completeness, exploring their generation, and demonstrating their nonclassical features like squeezing and antibunching.

Contribution

It introduces a comprehensive analysis of even and odd nonlinear charge coherent states, including their algebraic structure and nonclassical properties, expanding understanding of these quantum states.

Findings

Proved the (over)completeness of the states

Demonstrated their generation and algebraic realization

Showed they exhibit SU_f(1,1) squeezing and antibunching

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.