Quasiequilibrium relaxational thermodynamics is developed to understand LA-phonon-assisted thermalization of Bose-Einstein distributed excitons in quantum wells. We study 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 ${T}_{b}\ensuremath{\rightarrow}0,$ the thermalization of quantum statistically degenerate excitons effectively slows down and $T(t)\ensuremath{\propto}1/\mathrm{ln}t.$ We also analyze the optical decay of Bose-Einstein distributed excitons in perfect quantum wells, and show how nonclassical statistics influences the effective lifetime ${\ensuremath{\tau}}_{\mathrm{opt}}.$ In particular, ${\ensuremath{\tau}}_{\mathrm{opt}}$ of a strongly degenerate gas of excitons is given by $2{\ensuremath{\tau}}_{R},$ where ${\ensuremath{\tau}}_{R}$ 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 ${\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{s}/\mathrm{A}\mathrm{l}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{As}$ quantum wells.Quasiequilibrium relaxational thermodynamics is developed to understand LA-phonon-assisted thermalization of Bose-Einstein distributed excitons in quantum wells. We study 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 ${T}_{b}\ensuremath{\rightarrow}0,$ the thermalization of quantum statistically degenerate excitons effectively slows down and $T(t)\ensuremath{\propto}1/\mathrm{ln}t.$ We also analyze the optical decay of Bose-Einstein distributed excitons in perfect quantum wells, and show how nonclassical statistics influences the effective lifetime ${\ensuremath{\tau}}_{\mathrm{opt}}.$ In particular, ${\ensuremath{\tau}}_{\mathrm{opt}}$ of a strongly degenerate gas of excitons is given by $2{\ensuremath{\tau}}_{R},$ where ${\ensuremath{\tau}}_{R}$ 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 ${\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{s}/\mathrm{A}\mathrm{l}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{As}$ quantum wells.

arXiv:cond-mat/9811245Physical review. B, Condensed matterFeb 15, 1999105 citations

Bose-einstein Condensation Of Excitons

A. Mysyrowicz

Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR)Aug 24, 20051 citation

Bose-Einstein statistics of orthoexcitons generated by two-photon resonant absorption in cuprous oxide

Toru Goto, Mengyan Shen, S. Koyama +1 more

Excitation by two-photon resonant absorption may be able to maintain the temperature of the orthoexcitonic system in ${\mathrm{Cu}}_{2}$ O sufficiently low, resulting in an excitonic density high enough to allow us to study the quantum Bose-Einstein statistical properties of a nearly ideal Bose gas. The luminescence spectra show that the orthoexcitonic system consists of two parts. One follows the usual Bose-Einstein statistics with chemical potential \ensuremath{\mu}=0. The other is at an energy position corresponding to zero kinetic energy.Excitation by two-photon resonant absorption may be able to maintain the temperature of the orthoexcitonic system in ${\mathrm{Cu}}_{2}$O sufficiently low, resulting in an excitonic density high enough to allow us to study the quantum Bose-Einstein statistical properties of a nearly ideal Bose gas. The luminescence spectra show that the orthoexcitonic system consists of two parts. One follows the usual Bose-Einstein statistics with chemical potential \ensuremath{\mu}=0. The other is at an energy position corresponding to zero kinetic energy.

Physical review. B, Condensed matterMar 15, 199748 citations

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 ${T}_{b}\ensuremath{\rightarrow}0,$ the thermalization of quantum statistically degenerate excitons effectively slows down and $T(t)\ensuremath{\propto}1/\mathrm{ln}t.$ We also analyze the optical decay of Bose-Einstein distributed excitons in perfect quantum wells, and show how nonclassical statistics influences the effective lifetime ${\ensuremath{\tau}}_{\mathrm{opt}}.$ In particular, ${\ensuremath{\tau}}_{\mathrm{opt}}$ of a strongly degenerate gas of excitons is given by $2{\ensuremath{\tau}}_{R},$ where ${\ensuremath{\tau}}_{R}$ 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 ${\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{s}/\mathrm{A}\mathrm{l}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{As}$ quantum wells.

Excitation by two-photon resonant absorption may be able to maintain the temperature of the orthoexcitonic system in

{\mathrm{Cu}}_{2}

O sufficiently low, resulting in an excitonic density high enough to allow us to study the quantum Bose-Einstein statistical properties of a nearly ideal Bose gas. The luminescence spectra show that the orthoexcitonic system consists of two parts. One follows the usual Bose-Einstein statistics with chemical potential \ensuremath{\mu}=0. The other is at an energy position corresponding to zero kinetic energy.