$Q$-deformed description of excitons and associated physical results

TL;DR

This paper models excitons in quantum dots as q-deformed systems, analyzing how this deformation affects emission spectra and optical responses, revealing multi-peak spectra when deviating from Bose statistics.

Contribution

It introduces a q-deformed framework for excitons in quantum dots and explores its impact on emission spectra and optical properties, providing new insights into non-Bose excitonic behavior.

Findings

Emission spectra become multi-peak with q-deformation

Optical response is affected by nonlinear q-deformed interactions

Absorption spectra are derived up to second-order approximation

Abstract

We consider excitons in a quantum dot as q-deformed systems. Interaction of some excitonic systems with one cavity mode is considered. Dynamics of the system is obtained by diagonalizing total Hamiltonian and emission spectrum of quantum dot is derived. Physical consequences of q-deformed exciton on emission spectrum of quantum dot is given. It is shown that when the exciton system deviates from Bose statistics, emission spectra will become multi peak. With our investigation we try to find the origin of the q-deformation of exciton. The optical response of excitons, which affected by the nonlinear nature of q-deformed systems, up to the second order of approximation is calculated and absorption spectra of the system is given.