2015/05/25 by Nataliya Bobrovska, Michał Matuszewski · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Adiabatic process #Adiabatic theorem #Diffusion #Diffusion equation #Dissipative system #Exciton #Heavy traffic approximation #Master equation #Mathematics #Partial differential equation #Perovskite Materials and Applications #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Statistical physics #Stochastic differential equation #Strong Light-Matter Interactions #Thermal Radiation and Cooling Technologies #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevb.92.035311
published as Phys. Rev. B 92, 035311 (2015) · 10 pages, 5 figures
arxiv created 2015/05/25 · openalex publication_date 2015/07/31 · arxiv updated 2017/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the relation between the models commonly used to describe the dynamics of nonresonantly pumped exciton-polariton condensates, namely the ones described by the complex Ginzburg-Landau equation, and by the open-dissipative Gross-Pitaevskii equation including a separate equation for the reservoir density. In particular, we focus on the validity of the adiabatic approximation and small density fluctuations approximation that allow one to reduce the coupled condensate-reservoir dynamics to a single partial differential equation. We find that the adiabatic approximation consists of three independent analytical conditions that have to be fulfilled simultaneously. By investigating stochastic versions of the two corresponding models, we verify that the breakdown of these approximations can lead to discrepancies in correlation lengths and distributions of fluctuations. Additionally, we consider the phase diffusion and number fluctuations of a condensate in a box, and show that self-consistent description requires treatment beyond the typical Bogoliubov approximation.