Stochastic classical field model for polariton condensates

2008/11/27 by Michiel Wouters, Vincenzo Savona · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Boltzmann constant #Boltzmann equation #Classical limit #Condensation #Condensed matter physics #Field (mathematics) #Limit (mathematics) #Mathematical analysis #Mathematics #Mean field theory #Momentum (technical analysis) #Monte Carlo method #Physics #Plasmonic and Surface Plasmon Research #Polariton #Quantum #Quantum electrodynamics #Quantum mechanics #Statistical physics #Statistics #Strong Light-Matter Interactions #Thermal Radiation and Cooling Technologies #Thermodynamics #cond-mat.other

paper · pdf · doi:10.1103/physrevb.79.165302

10 pages, 7 figures

arxiv created 2008/11/27 · openalex publication_date 2009/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We use the truncated Wigner approximation to derive stochastic classical field equations for the description of polariton condensates. Our equations are shown to reduce to the Boltzmann equation in the limit of low polariton density. Monte Carlo simulations are performed to analyze the momentum distribution and the first- and second-order coherences when the particle density is varied across the condensation threshold.

Citations

• Dynamics of Trapped Bose Gases at Finite Temperatures
• Collective coherence in planar semiconductor microcavities
• Exciton-exciton scattering dynamics in a semiconductor microcavity and stimulated scattering into polaritons
• Spatial Coherence of a Polariton Condensate
• Bose–Einstein condensation of exciton polaritons
• Nonequilibrium Quantum Condensation in an Incoherently Pumped Dissipative System
• Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas
• Ordering, metastability and phase transitions in two-dimensional systems
• Decoherence, einselection, and the quantum origins of the classical
• Spontaneous Rotating Vortex Lattices in a Pumped Decaying Condensate
• Quantum kinetic theory: A quantum kinetic master equation for condensation of a weakly interacting Bose gas without a trapping potential

Cited by

• Spatial coherence of weakly interacting one-dimensional nonequilibrium bosonic quantum fluids
• Operation of a semiconductor microcavity under electric excitation

Related

• Stochastic model for assesing coherent properties of polariton condensates
• Creation and detection of vortices in polariton condensates
• Quantum Fluctuations and Coherence of a Molecular Polariton Condensate
• Kinetic theory of non-equilibrium condensation of microcavity polaritons
• Non-Markovian stochastic Gross-Pitaevskii equation for the exciton-polariton Bose-Einstein condensate