Generalized coherent states for solvable quantum systems with degenerate discrete spectra and their nonclassical properties

Abstract

In this paper, the generalized coherent state for quantum systems with degenerate spectra is introduced. Then, the nonclassicality features and number-phase entropic uncertainty relation of two particular degenerate quantum systems are studied. Finally, using the Gazeau-Klauder coherent states approach, time evolution of some of the nonclassical properties of the coherent states corresponding to the considered physical systems are discussed.

17 pages, 10 figures,Physica A: Statistical Mechanics and its Applications, Article in Press

References in corpus (3)

• Number-phase entropic uncertainty relations and Wigner functions for solvable quantum systems with discrete spectra
• Quantum phase properties associated to solvable quantum systems using the nonlinear coherent states approach
• Quantum statistical properties of some new classes of intelligent states associated with special quantum systems

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• Number-phase entropic squeezing and nonclassical properties of a three-level atom interacting with a two-mode field: Intensity-dependent coupling, deformed Kerr medium and detuning effects
• Generalized $su(1,1)$ coherent states for pseudo harmonic oscillator and their nonclassical properties
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• Generalized $su(2)$ coherent states for the Landau levels and their nonclassical properties
• Algebraic and group treatments to nonlinear displaced number states and their nonclassicality features