Density-matrix approach for an interacting polariton system
I. G. Savenko, E. B. Magnusson, I. A. Shelykh

TL;DR
This paper develops a Lindblad-based formalism to model the dynamics of inhomogeneous, dissipative polariton systems, emphasizing the effects of interactions with phonons and among polaritons.
Contribution
It introduces a novel theoretical framework for analyzing spatially inhomogeneous polariton systems with dissipation and interactions.
Findings
Polariton-polariton interactions significantly influence system dynamics.
Polariton-phonon interactions affect dissipation and coherence.
The formalism enables detailed real-space, real-time modeling.
Abstract
Using the Lindblad approach we develop a general formalism for theoretical description of a spatially inhomogeneous bosonic system with dissipation provided by the interaction of bosons with a phonon bath. We apply our results to model the dynamics of an interacting one-dimensional polariton system in real space and time, analyzing in detail the role of polariton-polariton and polariton-phonon interactions.
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