Gazeau$-$Klauder squeezed states associated with solvable quantum systems

Abstract

A formalism for the construction of some classes of Gazeau$-$Klauder squeezed states, corresponding to arbitrary solvable quantum systems with a known discrete spectrum, are introduced. As some physical applications, the proposed structure is applied to a few known quantum systems and then statistical properties as well as squeezing of the obtained squeezed states are studied. Finally, numerical results are presented.

18 pages, 12 figures

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• A theoretical scheme for generation of Gazeau-Klauder coherent states via intensity-dependent degenerate Raman interaction
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• Nonlinear Quantum Optical Springs and Their Nonclassical Properties
• Nonclassical properties of coherent states and excited coherent states for continuous spectra
• Algebraic and group treatments to nonlinear displaced number states and their nonclassicality features