title: Stochastic Gross-Pitaevskii equation for the dynamical thermalization of Bose-Einstein condensates.
abstract: We present a theory for the description of energy relaxation in a nonequilibrium condensate of bosonic particles. The approach is based on coupling to a thermal bath of other particles (e.g., phonons in a crystal, or noncondensed atoms in a cold atom system), which are treated with a Monte Carlo type approach. Together with a full account of particle-particle interactions, dynamic driving, and particle loss, this offers a complete description of recent experiments in which Bose-Einstein condensates are seen to relax their energy as they propagate in real space and time. As an example, we apply the theory to the solid-state system of microcavity exciton polaritons, in which nonequilibrium effects are particularly prominent.
authors.affiliation: Science Institute, University of Iceland, Dunhagi 3, IS-107 Reykjavik, Iceland and Division of Physics and Applied Physics, Nanyang Technological University, 637371 Singapore, Singapore.
authors.forename: I G
authors.initials: IG
authors.lastname: Savenko
authors.affiliation: Division of Physics and Applied Physics, Nanyang Technological University, 637371 Singapore, Singapore and Mediterranean Institute of Fundamental Physics, 31, via Appia Nuova, Roma 00040, Italy.
authors.forename: T C H
authors.initials: TC
authors.lastname: Liew
authors.affiliation: Science Institute, University of Iceland, Dunhagi 3, IS-107 Reykjavik, Iceland and Division of Physics and Applied Physics, Nanyang Technological University, 637371 Singapore, Singapore.
authors.forename: I A
authors.initials: IA
authors.lastname: Shelykh