2010/02/15 by P. Schwendimann, Paolo Schwendimann, A. Quattropani +2 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Condensed matter physics #Langevin equation #Limit (mathematics) #Master equation #Mathematical analysis #Mathematics #Physics #Plasmonic and Surface Plasmon Research #Polariton #Quantum #Quantum mechanics #Stationary state #Statistical physics #Strong Light-Matter Interactions #Thermal Radiation and Cooling Technologies #Wigner distribution function #cond-mat.mes-hall #cond-mat.other
paper · pdf · doi:10.1103/physrevb.82.205329
61 pages, 8 figures
arxiv created 2010/02/15 · openalex publication_date 2010/11/24 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The statistics of the condensed polaritons is described in terms of the Wigner function. In the framework of the truncated Wigner method, the Wigner function obeys a Fokker-Planck equation, which is solved analytically. The second-order correlations in the stationary state are in excellent agreement with those obtained from the numerical solution of the master equation and show a qualitative and, well above threshold, also quantitative agreement with recent experiments. Furthermore, the contributions of the different noise effects that influence the polariton ground-state statistics are explicitly defined. Exploiting the equivalence between Fokker-Planck and Langevin descriptions of stochastic processes, the time-dependent correlations of the polaritons close to the stationary state are derived. An explicit expression for the polariton linewidth is obtained, whose numerical values reproduce qualitatively the experimental ones. Finally, the limit of validity of the truncated Wigner method in the present model is discussed.