Spatial confinement effects on quantum harmonic oscillator I: Nonlinear coherent state approach

Abstract

In this paper we study some basic quantum confinement effects through investigation of a deformed harmonic oscillator algebra. We show that spatial confinement effects on a quantum harmonic oscillator can be represented by a deformation function within the framework of nonlinear coherent states theory. We construct the coherent states associated with the spatially confined quantum harmonic oscillator in a one-dimensional infinite well and examine some of their quantum statistical properties, including sub-poissonian statistics and quadrature squeezing.

arXiv admin note: substantial text overlap with arXiv:0710.1942

References in corpus (4)

• Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator
• Representations of Coherent and Squeezed States in a $f$-deformed Fock Space
• Nonlinear coherent state of an exciton in a wide quantum dot
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Cited by in corpus (4)

• Information entropic measures of a quantum harmonic oscillator in symmetric and asymmetric confinement within an impenetrable box
• Quantum confinement in 1D systems through an imaginary-time evolution method
• Markovian master equation for nonlinear systems
• A single trapped ion in a finite range trap