# Collective enhancements in many-emitter phonon lasing

## TL;DR

This paper theoretically explores many-emitter phonon lasing in semiconductor quantum dots within an acoustic nanocavity, revealing collective phenomena, energy shifts, and optimal conditions for enhanced phonon output.

## Contribution

It introduces a novel theoretical model mapping the phonon laser to a Tavis-Cummings type interaction with additional energy shifts, highlighting collective resonances and optimal lasing conditions.

## Key findings

- Identification of collective resonances dependent on emitter number
- Demonstration of high quantum yield at collective resonances
- Enhanced output via two-phonon resonance lasing

## Abstract

We investigate theoretically the many-emitter phonon laser based on optically driven semiconductor quantum dots within an acoustic nanocavity. We map the phonon laser Hamiltonian to a Tavis-Cummings type interaction with an unexpected additional many-emitter energy shift. This many-emitter interaction with the cavity mode results in a variety of resonances dependent on the number of participating emitters. We show that the many-emitter phonon laser also includes the single emitter resonance besides these collective phenomena. However, we obtain a high quantum yield addressing these collective resonances. We clearly demonstrate the best setup for maximal enhancement and show that the output can be increased even more via lasing at the two phonon resonance.