# Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals

## TL;DR

This paper constructs generalized coherent states for nonlinear oscillators with position-dependent mass, analyzing their properties and demonstrating phenomena like quantum revivals and fractional revivals during temporal evolution.

## Contribution

It introduces a new class of coherent states for position-dependent mass oscillators using the Gazeau-Klauder formalism and studies their temporal stability and revival phenomena.

## Key findings

- Coherent states exhibit quantum revivals.
- Fractional revivals are observed for specific mass functions.
- Statistical analysis confirms the temporal stability of states.

## Abstract

We develop generalized coherent states for a class of nonlinear oscillators with position-dependent effective mass in the context of the Gazeau-Klauder formalism and discuss some of their properties. In order to investigate the temporal evolution we first explore the statistical properties by means of weighting distribution and the Mandel parameter. It is found that the temporal evolution of the coherent states may exhibit the phenomena of quantum revivals and fractional revivals for a particular choice of position-dependent mass oscillator.