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Exciton Polaritons in Microcavities pp 267–288Cite as

Truncated Wigner Approximation for Nonequilibrium Polariton Quantum Fluids

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 172))

Abstract

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.

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Notes

  1. 1.

    An experimental upper bound to the blue shift due to polariton–polariton interaction is given by the total blue shift, which is less than 1 meV.

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Authors and Affiliations

  1. TQC, Universiteit Antwerpen, Universiteitsplein 1, 2610, Antwerpen, Belgium

    Michiel Wouters

  2. Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne EPFL, CH-1015, Lausanne, Switzerland

    Vincenzo Savona

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  1. Institute of Solid State Physics, Institutskaya 2, Chernogolovka, 142432, Russia

    Vladislav Timofeev

  2. NNL, Istituto Nanoscienze - CNR, Via Arnesano, Lecce, 73100, Italy

    Daniele Sanvitto

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Wouters, M., Savona, V. (2012). Truncated Wigner Approximation for Nonequilibrium Polariton Quantum Fluids. In: Timofeev, V., Sanvitto, D. (eds) Exciton Polaritons in Microcavities. Springer Series in Solid-State Sciences, vol 172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24186-4_10

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