Coherent state of a nonlinear oscillator and its revival dynamics

2009/05/21 by Bikashkali Midya, Barnana Roy, Anjan Biswas +1
Mathematics · Physics and Astronomy · #Acoustics #Algorithm #Coherent states #Dynamics (music) #Laser-Matter Interactions and Applications #Mathematics #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #State (computer science) #Statistical physics #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/0031-8949/79/06/065003

published as Physica Scripta 79 (2009) 065003

openalex publication_date 2009/05/21 · arxiv created 2009/10/31 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Coherent states: Theory and some applications
• Shape-invariant quantum Hamiltonian with position-dependent effective mass through second-order supersymmetry
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