Statistics of excitons in quantum dots and the resulting microcavity emission spectra

TL;DR

This paper presents a theoretical study of exciton statistics in quantum dots of varying sizes, revealing a transition from fermionic to bosonic behavior and analyzing the resulting nonlinear emission spectra in microcavities.

Contribution

A formalism is developed to construct exciton creation operators from wavefunctions, illustrating their evolution from fermionic to bosonic with increasing QD size.

Findings

Nonlinear emission spectra show a multiplet structure.

Spectra reduce to Mollow triplet in fermionic limit.

Spectra reduce to Rabi doublet in bosonic limit.

Abstract

A theoretical investigation is presented of the statistics of excitons in quantum dots (QDs) of different sizes. A formalism is developed to build the exciton creation operator in a dot from the single exciton wavefunction and it is shown how this operator evolves from purely fermionic, in case of a small QD, to purely bosonic, in case of large QDs. Nonlinear optical emission spectra of semiconductor microcavities containing single QDs are found to exhibit a peculiar multiplet structure which reduces to Mollow triplet and Rabi doublet in fermionic and bosonic limits, respectively.