Quantum phase properties associated to solvable quantum systems using the nonlinear coherent states approach

TL;DR

This paper investigates the quantum phase properties of nonlinear coherent states and solvable quantum systems with discrete spectra, using the Pegg-Barnett formalism, revealing their phase distributions and nonclassical features.

Contribution

It introduces a unified approach to analyze quantum phase properties of nonlinear coherent states and solvable systems, including new classes of nonlinear oscillators.

Findings

Phase distributions and nonclassical properties like squeezing are numerically analyzed.

The approach applies to known and new solvable quantum systems with discrete spectra.

Nonlinear oscillators exhibit distinctive quantum phase behaviors.

Abstract

In this paper we study the quantum phase properties of {\it "nonlinear coherent states"} and {\it "solvable quantum systems with discrete spectra"} using the Pegg-Barnett formalism in a unified approach. The presented procedure will then be applied to few special solvable quantum systems with known discrete spectrum as well as to some new classes of nonlinear oscillators with particular nonlinearity functions. Finally the associated phase distributions and their nonclasscial properties such as the squeezing in number and phase operators have been investigated, numerically.