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Stationary Density Matrix of a Pumped Polariton System

2008/05/31 by Carlos Vera-Ciro, Carlos Andres Vera, Alejandro Cabo Montes de +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Condensed matter physics #Density matrix #Diagonal #Diagonal matrix #Eigenvalues and eigenvectors #Grand canonical ensemble #Hamiltonian (control theory) #Limit (mathematics) #Master equation #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Physics #Polariton #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Representation (politics) #Stationary distribution #Stationary state #Statistical physics #Statistics #Strong Light-Matter Interactions #Thermal Radiation and Cooling Technologies #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.102.126404

published as Phys. Rev. Lett. 102 (2009) 126404 · Final version, as published

openalex publication_date 2009/03/25 · arxiv created 2009/03/26 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The density matrix rho of a model polariton system is obtained numerically from a master equation which takes account of pumping and losses. In the stationary limit, the coherences between eigenstates of the Hamiltonian are 3 orders of magnitude smaller than the occupations, meaning that the stationary density matrix is approximately diagonal in the energy representation. A weakly distorted grand canonical Gibbs distribution fits well the occupations.

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