Semiclassical Simulation of Homogeneous Emitter Ensembles with Local Dissipation

TL;DR

This paper introduces a truncated Wigner approximation method for simulating large homogeneous quantum emitter ensembles with local dissipation, enabling efficient analysis of complex collective behaviors.

Contribution

It develops a scalable TWA approach for permutation-invariant emitter ensembles, capturing nonclassical dynamics and emergent phenomena in large systems.

Findings

TWA accurately reproduces nonclassical dynamics

Simulation of hundreds of ensembles reveals spatial coherence

Emergent directional emission in 1D chains

Abstract

Emitter ensembles constitute a fundamental component in quantum optical technologies, yet efficient and accurate simulation of large ensembles remains challenging. Here, we formulate a truncated Wigner approximation (TWA) for permutation-invariant emitter ensembles subject to local dissipation by sampling stochastic trajectories in an extended phase space encompassing the Bloch sphere. Benchmarks show that the TWA accurately captures dynamics, including nonclassical signatures, with the approximation improving with ensemble size. We demonstrate large-scale simulations of hundreds of interacting ensembles within the TWA to reveal emergent spatial coherence and selective directionality of cooperative emission in a pumped 1D chain, highlighting a path to studying extended light-matter systems. Our results expand the scope of scalable simulations of quantum emitter ensembles, establishing a bridge between microscopic models and emergent behavior.