Truncated Wigner Approximation for Nonequilibrium Polariton Quantum Fluids

  • Michiel Wouters
  • Vincenzo Savona
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 172)


In this chapter we review the stochastic approach that we recently developed to model the kinetics of polariton Bose–Einstein condensation, based on a truncated Wigner approximation. The approach consists in neglecting the third-order term appearing in the master equations for the Wigner distribution of the quantum field. The resulting Fokker–Planck equation can be modeled by numerically solving the corresponding stochastic Langevin equation, coupled to a phenomenological diffusion equation for the excitonic reservoir that provides the gain-loss mechanism. This approach is particularly well suited for polaritons, in which the neglected term is often negligible compared to the intrinsic loss rates of the polariton field. We apply our model to typical experimental situations and discuss the results, with particular focus on the dynamics of phase fluctuations and the possibility to observe a Berezinski-Kosterlitz-Thouless crossover in the polariton superfluid.


Phase Fluctuation Quantum Degenerate Nonresonant Excitation Josephson Oscillation Lower Polariton 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.TQC, Universiteit AntwerpenAntwerpenBelgium
  2. 2.Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne EPFLLausanneSwitzerland

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