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Basis-dependent Dynamics of Trapped Bose-Einstein Condensates and Analogies with Semi-classical Laser Theory

Lookup NU author(s): Professor Nikolaos ProukakisORCiD

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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.

Publication metadata

Author(s): Proukakis NP, Lambropoulos P

Publication type: Article

Publication status: Published

Journal: European Physical Journal D: Atomic, Molecular, Optical and Plasma Physi

Year: 2002

Volume: 19

Issue: 3

Pages: 335-370

ISSN (print): 1434-6060

ISSN (electronic): 1434-6079

Publisher: Springer

URL: http://dx.doi.org/10.1140/epjd/e20020083

DOI: 10.1140/epjd/e20020083

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