Basis-dependent dynamics of trapped Bose-Einstein condensates and analogies with semi-classical laser theory
Abstract
We present a consistent second order perturbation theory for the lowest-lying condensed modes of very small, weakly-interacting Bose-Einstein condensates in terms of bare particle eigenstates in a harmonic trap. After presenting our general approach, we focus on explicit expressions for a simple three-level system, mainly in order to discuss the analogy of a single condensate occupying two modes of a trap with the semi-classical theory for two-mode photon lasers. A subsequent renormalization of the single-particle energies to include the dressing imposed by mean fields demonstrates clearly the consistency of our treatment with other kinetic approaches.
Cite
@article{arxiv.cond-mat/0008168,
title = {Basis-dependent dynamics of trapped Bose-Einstein condensates and analogies with semi-classical laser theory},
author = {N. P. Proukakis and P. Lambropoulos},
journal= {arXiv preprint arXiv:cond-mat/0008168},
year = {2007}
}
Comments
2 Modified Sections: (i) Analogy between 2-mode BEC and Semi-classical laser theory (ii) Links to other kinetic theories made more explicit. European Physical Journal D (accepted for publication): Laser Cooling and Quantum Gas Section