Number-phase entropic uncertainty relations and Wigner functions for solvable quantum systems with discrete spectra

Abstract

In this letter, the number-phase entropic uncertainty relation and the number-phase Wigner function of generalized coherent states associated to a few solvable quantum systems with nondegenerate spectra are studied. We also investigate time evolution of number-phase entropic uncertainty and Wigner function of the considered physical systems with the help of temporally stable Gazeau-Klauder coherent states.

10 pages, 9 figures; To appear in Phys Lett A 2009

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• Collision entropy and optimal uncertainty
• Tripartite entanglement dynamics and entropic squeezing of a three-level atom interacting with a bimodal cavity field
• Quantum entanglement and position-momentum entropic squeezing of a moving Lambda-type three-level atom interacting with a single-mode quantized field with intensity-dependent coupling
• 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
• On the quantum information entropies and squeezing associated with the eigenstates of isotonic oscillator
• On the non-classicality features of new classes of nonlinear coherent states
• A theoretical scheme for generation of Gazeau-Klauder coherent states via intensity-dependent degenerate Raman interaction
• Generalized coherent states for solvable quantum systems with degenerate discrete spectra and their nonclassical properties
• Nonlinear Quantum Optical Springs and Their Nonclassical Properties
• On a general formalism of nonlinear charge coherent states, their quantum statistics and nonclassical properties
• Algebraic and group treatments to nonlinear displaced number states and their nonclassicality features