Two-mode hyperradiant lasing in a system of two quantum dots embedded in a bimodal photonic crystal cavity

TL;DR

This paper proposes a scheme for two-mode hyperradiant lasing using two incoherently pumped quantum dots in a bimodal photonic crystal cavity, highlighting phonon effects and enhanced radiance.

Contribution

It introduces a novel two-mode hyperradiant lasing scheme considering phonon interactions and compares single-mode and bimodal cavity effects.

Findings

Phonon-induced cooperative two-photon processes enhance radiance.

Increased radiance witness correlates with narrower emission linewidths.

Bimodal cavities outperform single-mode in radiance and spectral properties.

Abstract

We propose a scheme for two-mode hyperradiant lasing in a system comprising two incoherently pumped quantum dots (QDs) coupled to a bimodal photonic crystal cavity. To account for the exciton-phonon interactions, we employ a time-convolutionless polaron-transformed master equation. Both resonant and off-resonant couplings of the QDs to the cavity modes are considered, and we analyze the resulting radiance witness as well as the intra- and inter-mode photon correlations. Furthermore, we demonstrate that phonon-induced cooperative two-mode two-photon processes significantly enhance the radiance witness. This enhancement is quantified by evaluating the emission and absorption rates associated with both single-mode and two-mode two-photon transitions. Finally, we compare the radiance witness and emission spectral linewidths for QDs coupled to single-mode and bimodal cavities, revealing that an increase in radiance witness is accompanied by a narrowing of the emission linewidth.