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

TL;DR

This paper explores how spatial confinement influences a quantum harmonic oscillator by modeling it with a deformed algebra and nonlinear coherent states, revealing effects like sub-Poissonian statistics and quadrature squeezing.

Contribution

It introduces a deformation function to represent confinement effects and constructs associated nonlinear coherent states for a confined quantum harmonic oscillator.

Findings

Demonstrates sub-Poissonian photon statistics

Shows quadrature squeezing in confined states

Provides a new framework for modeling confinement effects

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.