Coherent state of a nonlinear oscillator and its revival dynamics
Bikashkali Midya, Barnana Roy, Atreyee Biswas
TL;DR
This paper constructs a coherent state for a nonlinear oscillator with a quadratic spectrum, analyzing its revival dynamics and statistical properties using phase analysis and the Gazeau-Klauder formalism.
Contribution
It introduces a method to construct coherent states for nonlinear oscillators and investigates their revival structures and statistical characteristics.
Findings
Revival structures depend on multiple time scales.
The Mandel parameter indicates non-classical statistics.
Phase analysis reveals detailed revival dynamics.
Abstract
The coherent state of a nonlinear oscillator having a nonlinear spectrum is constructed using Gazeau Klauder formalism. The weighting distribution and the Mandel parameter are studied. Details of the revival structure arising from different time scales underlying the quadratic energy spectrum are investigated by the phase analysis of the autocorrelation function.
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