Number-conserving master equation theory for a dilute Bose-Einstein condensate
Quantum Physics
2015-05-19 v1 Quantum Gases
Atomic Physics
Abstract
We describe the transition of weakly interacting atoms into a Bose-Einstein condensate within a number-conserving quantum master equation theory. Based on the separation of time scales for condensate formation and non-condensate thermalization, we derive a master equation for the condensate subsystem in the presence of the non-condensate environment under the inclusion of all two body interaction processes. We numerically monitor the condensate particle number distribution during condensate formation, and derive a condition under which the unique equilibrium steady state of a dilute, weakly interacting Bose-Einstein condensate is given by a Gibbs-Boltzmann thermal state of non-interacting atoms.
Cite
@article{arxiv.1008.0788,
title = {Number-conserving master equation theory for a dilute Bose-Einstein condensate},
author = {Alexej Schelle and Thomas Wellens and Dominique Delande and Andreas Buchleitner},
journal= {arXiv preprint arXiv:1008.0788},
year = {2015}
}