Mean-field Mixed Quantum-Classical Approach for Many-Body Quantum Dynamics of Exciton-Polaritons

TL;DR

This paper introduces a mean-field mixed quantum-classical approach combining Ehrenfest and Gross-Pitaevskii methods to simulate many-body quantum dynamics of excitons and polaritons, accounting for disorder and interactions.

Contribution

It develops a novel mean-field Ehrenfest approach for simulating complex many-body exciton-polariton dynamics beyond single-excitation regimes.

Findings

Phonon-induced disorder impacts coherence and transport.

Excitation number and interactions nonlinearly influence dynamics.

The method captures decoherence and scattering effects.

Abstract

In this work, we use a mixed quantum-classical (mean-field) many-body approach for simulating the quantum dynamics of excitons and exciton-polaritons beyond the single-excitation subspace. We combine the multitrajectory Ehrenfest approach, which propagates slow degrees of freedom classically, with the Gross-Pitaevskii method, which propagates fast degrees of freedom in a mean-field fashion. We use this mean-field many-body Ehrenfest approach to analyze how the phonon-induced dynamic disorder and the many-body interaction affect the incoherent and coherent dynamics of excitons and exciton-polaritons. We examine how the number of excitations and the strength of repulsive exciton-exciton interaction nonlinearly influence the transport, Fr\"ohlich scattering and decoherence.