Nonequilibrium Langevin Approach to Quantum Optics in Semiconductor Microcavities

TL;DR

This paper develops a nonequilibrium quantum Langevin framework to analyze quantum correlations of polaritons in semiconductor microcavities, accounting for noise and interactions affecting coherence and entanglement.

Contribution

It introduces a novel theoretical approach combining nonequilibrium Langevin dynamics with the dynamics controlled truncation scheme for realistic polariton quantum optics analysis.

Findings

Analyzed polariton parametric emission including phonon-induced noise effects.

Provided a method to compute multi-time correlation functions in open quantum systems.

Demonstrated the impact of incoherent scattering on quantum coherence in microcavities.

Abstract

Recently the possibility of generating nonclassical polariton states by means of parametric scattering has been demonstrated. Excitonic polaritons propagate in a complex interacting environment and contain real electronic excitations subject to scattering events and noise affecting quantum coherence and entanglement. Here we present a general theoretical framework for the realistic investigation of polariton quantum correlations in the presence of coherent and incoherent interaction processes. The proposed theoretical approach is based on the {\em nonequilibrium quantum Langevin approach for open systems} applied to interacting-electron complexes described within the dynamics controlled truncation scheme. It provides an easy recipe to calculate multi-time correlation functions which are key-quantities in quantum optics. As a first application, we analyze the build-up of polariton parametric emission in semiconductor microcavities including the influence of noise originating from phonon induced scattering.