Nonlinear coherent state of an exciton in a wide quantum dot

TL;DR

This paper models an exciton in a wide quantum dot as a nonlinear coherent state using an $f$-deformed oscillator approach, revealing quadrature squeezing under weak confinement conditions.

Contribution

It introduces a novel application of the $f$-deformed oscillator method to describe excitons in quantum dots as nonlinear coherent states.

Findings

Exciton states exhibit quadrature squeezing.

Stationary states can be modeled as nonlinear coherent states.

Weak confinement enables this modeling approach.

Abstract

In this paper, we derive the dynamical algebra of a particle confined in an infinite spherical well by using the $f$-deformed oscillator approach. We consider an exciton with definite angular momentum in a wide quantum dot interacting with two laser beams. We show that under the weak confinement condition, and quantization of the center-of-mass motion of exciton, the stationary state of it can be considered as a special kind of nonlinear coherent states which exhibits the quadrature squeezing.