{ "id": "cond-mat/9811245", "version": "v1", "published": "1998-11-17T10:23:01.000Z", "updated": "1998-11-17T10:23:01.000Z", "title": "Bose-Einstein statistics in thermalization and photoluminescence of quantum well excitons", "authors": [ "A. L. Ivanov", "P. B. Littlewood", "H. Haug" ], "comment": "19 pages, 9 figures. Phys. Rev. B (accepted for publication)", "doi": "10.1103/PhysRevB.59.5032", "categories": [ "cond-mat.stat-mech", "cond-mat.mes-hall" ], "abstract": "Quasi-equilibrium relaxational thermodynamics is developed to understand LA-phonon-assisted thermalization of Bose-Einstein distributed excitons in quantum wells. We study the quantum-statistical effects in the relaxational dynamics of the effective temperature of excitons $T = T(t)$. When $T$ is less than the degeneracy temperature $T_0$, well-developed Bose-Einstein statistics of quantum well excitons leads to nonexponential and density-dependent thermalization. At low bath temperatures $T_b \\to 0$ the thermalization of quantum-statistically degenerate excitons effectively slows down and $T(t) \\propto 1 / \\ln t$. We also analyze the optical decay of Bose-Einstein distributed excitons in perfect quantum wells and show how nonclassical statistics influences the effective lifetime $\\tau_{opt}$. In particular, $\\tau_{opt}$ of a strongly degenerate gas of excitons is given by $2 \\tau_R$, where $\\tau_R$ is the intrinsic radiative lifetime of quasi-two-dimensional excitons. Kinetics of resonant photoluminescence of quantum well excitons during their thermalization is studied within the thermodynamic approach and taking into account Bose-Einstein statistics. We find density-dependent photoluminescence dynamics of statistically degenerate excitons. Numerical modeling of the thermalization and photoluminescence kinetics of quasi-two-dimensional excitons are given for GaAs/AlGaAs quantum wells.", "revisions": [ { "version": "v1", "updated": "1998-11-17T10:23:01.000Z" } ], "analyses": { "keywords": [ "thermalization", "bose-einstein distributed excitons", "quasi-two-dimensional excitons", "account bose-einstein statistics", "gaas/algaas quantum wells" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }