https://doi.org/10.1140/epjd/e20020083
Basis-dependent dynamics of trapped Bose-Einstein condensates and analogies with semi-classical laser theory
1
Foundation for Research and Technology Hellas,
Institute of Electronic Structure and Laser, P.O. Box 1527,
Heraklion 71110, Crete, Greece
2
Department of Physics, University
of Crete, Heraklion 71110, Crete, Greece
Corresponding author: a n.p.proukakis@durham.ac.uk
Received:
14
December
2001
Published online: 15 June 2002
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.
PACS: 03.75.Fi – Phase coherent atomic ensembles; quantum condensation phenomena / 03.75.-b – Matter waves / 42.55.Ah – General laser theory / 42.50.-p – Quantum optics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002