Coherent state of a nonlinear oscillator and its 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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Cited by in corpus (7)

• On the complete integrability of a nonlinear oscillator from group theoretical perspective
• Barut-Girardello coherent states for nonlinear oscillator with position-dependent mass
• Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals
• SU(1,1) Coherent States For Position-Dependent Mass Singular Oscillators
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• Coherent States for the Non-Linear Harmonic Oscillator
• Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states