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arXiv:1207.0596 · Journal of Statistical Physics

On Low Temperature Kinetic Theory; Spin Diffusion, Bose Einstein Condensates, Anyons

Leif Arkeryd

Published Feb 20, 2013• 13 citations
arXivHTMLPDF
DOI
10.1007/s10955-013-0695-y

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Photo-excited excitons, i.e. closely bound electron-hole pairs, are in the low-density regime approximately bosons. For sufficiently low temperatures and sufficiently high densities of the exciton gas, a nonequilibrium phase transition in the form of a Bose-Einstein condensation (BEC) can be expected. Various levels of the description of the kinetics of relaxation and condensation due to the coupling of the excitons to a cold reservoir of acoustic phonons are discussed. For noninteracting excitons a rate equation approach with the exciton Boltzmann equation can be used. For interacting excitons the nonmarkovian quantum kinetics is required for the description of the BEC in order to incorporate the changes of the energy spectrum during the condensation self-consistently. Finally colored Langevin fluctuations can be used to calculate the phase diffusion of the condensate.