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Cambridge University Press eBooks

Bose–Einstein Condensation of a Nearly Ideal Gas: Excitons in Cu2O

James P. Wolfe, J.-L. Lin, David W. Snoke

Published Apr 6, 1995• 12 citations
Publisher
DOI
10.1017/cbo9780511524240.015

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Phonon-Assisted Relaxation Kinetics of a Degenerate Bose Gas

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The relaxation kinetics of an ideal Bose gas coupled to a phonon thermostat at temperature Tb below or equal to the critical temperature Tc consists of an initial transient and the following adiabatic stage. The transient depends on the initial distribution of bosons at t = 0 and lasts a few characteristic scattering times. The following nonexponential relaxation towards a quantum degenerate equilibrium state with a Bose-Einstein (BE) condensate is a slow adiabatic process. We find a generic solution of the phonon-assisted Boltzmann kinetics at the adiabatic stage. This solution is completely defined by the ratio Tc/Tb. Here, one has a unique example of the fundamental solution of Boltzmann kinetics that is insensitive to the initial distribution. For Tb → Tc from above, we develop a theory of the thermodynamic critical slowing-down which also leads to the nonexponential thermalization of bosons. We apply our results to the relaxation kinetics of para-excitons in Cu2O and reinterpret the recent reports on the observation of BE condensation of para-excitons.

physica status solidi (b)•Mar 1, 1998•9 citations
Experiments on Bose-Einstein condensation (BEC) of excitons in the semiconductor Cu2O started over 30 years ago, as one of the first serious attempts at exciton BEC. Early claims were based on spectroscopic signatures and transport data which have since been reinterpreted, in large part because the Auger recombination process for excitons was not well understood. Understanding of the Auger process has advanced, and recent experiments have made significant progress toward exciton BEC. We review the history of experiments on exciton BEC in Cu2O, the Auger recombination process, and the prospects for observing exciton BEC in this system in the near future.
Experiments investigating the process of Bose-Einstein condensation of excitons in Cu2O will be reviewed. The exciton flux reaching the back surface of mm thick single crystals is investigated following creation of a high density of excitons close to the front surface with a pulsed laser. An anomalous propagation regime is observed at. sufficiently low crystal temperatures and sufficiently high particle densities, in the form of a ballistic packet progressing at a velocity close to the crystal sound velocity. The ballistic packet is attributed to an excitonic superfluid, the result of a Bose-Einstein Condensation (BEC). Conditions for appearance of the ballistic excitonic transport are found to be in good agreement with the predictions of the weakly interacting Bose gas model.
The relaxation kinetics of an ideal Bose gas coupled to a phonon thermostat at temperature Tb below or equal to the critical temperature Tc consists of an initial transient and the following adiabatic stage. The transient depends on the initial distribution of bosons at t = 0 and lasts a few characteristic scattering times. The following nonexponential relaxation towards a quantum degenerate equilibrium state with a Bose-Einstein (BE) condensate is a slow adiabatic process. We find a generic solution of the phonon-assisted Boltzmann kinetics at the adiabatic stage. This solution is completely defined by the ratio Tc/Tb. Here, one has a unique example of the fundamental solution of Boltzmann kinetics that is insensitive to the initial distribution. For Tb → Tc from above, we develop a theory of the thermodynamic critical slowing-down which also leads to the nonexponential thermalization of bosons. We apply our results to the relaxation kinetics of para-excitons in Cu2O and reinterpret the recent reports on the observation of BE condensation of para-excitons.