# Bose-Einstein statistics in thermalization and photoluminescence of quantum well excitons

Source: [Bose-Einstein statistics in thermalization and photoluminescence of quantum well excitons](<https://www.sota2.com/research/paper/68fa249b2c2a3760193a6783>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:21:18.699Z

Authors: A.L. Ivanov, P.B. Littlewood, H. Haug

Published: 1998-11-17T10:23:01.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9811245>)

[PDF](<https://arxiv.org/pdf/cond-mat/9811245.pdf>)