Stochastic dynamics of microcavity polaritons

TL;DR

This paper introduces a stochastic approach to analyze the time-dependent behavior of microcavity polaritons, capturing condensation and scattering dynamics with results aligning with experimental data.

Contribution

It presents a novel stochastic differential Schrödinger equation framework for polariton dynamics, emphasizing Coulomb correlations and threshold phenomena.

Findings

Accurately models polariton condensation and scattering dynamics.

Reproduces experimental threshold behaviors.

Highlights the importance of Coulomb correlations in polariton dynamics.

Abstract

We study the time dependent polariton condensation as well as the parametric scattering process of polaritons in a semiconductor microcavity. Based upon a new stochastic scheme the dynamics for both cases is fully analyzed. We show how the evolution of the system is described by a set of stochastic differential Schrodinger equations which in average reproduces the exact dynamics. Furthermore, we underline the role that Coulomb correlations plays in the polariton dynamics. Threshold behaviors are well captured by the present approach. The results are in complete agreement with recent experimental observations.