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Self-consistent Quantum Kinetics of Condensate and Non-condensate via a Coupled Equations of Motion Formalism

Lookup NU author(s): Professor Nikolaos ProukakisORCiD

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Abstract

This paper extends an earlier quantum kinetics treatment for dilute, weakly interacting, partially Bose-Einstein condensed gases, presented by the author elsewhere (Proukakis N P and Burnett K 1996 J. Res. Natl Inst. Stand. Technol. 101 457), by consistently treating the dynamics of the uncondensed atoms to the same level of approximation as the condensed atoms. Our method is based on a hierarchy of coupled equations of motion for the condensate mean field and fluctuations around this mean field, truncated to second order in the (effective two-body) interatomic potential, and with suitable decoupling approximations for higher-order correlations. By applying perturbation theory in the Hartree-Fock-Bogoliubov basis, we re-derive the quantum kinetic theory of Walser et al (Walser R, Williams J, Cooper J and Holland M 1999 Phys. Rev. A 59 3878), which further indicates the consistency of our treatment with the Kadanoff-Baym non-equilibrium Green function formalism for trapped gases.

Publication metadata

Author(s): Proukakis NP

Publication type: Article

Publication status: Published

Journal: Journal of Physics B: Atomic, Molecular and Optical Physics

Year: 2001

Volume: 34

Issue: 23

Pages: 4737-4755

ISSN (print): 0953-4075

ISSN (electronic): 1361-6455

Publisher: Institute of Physics Publishing Ltd.

URL: http://dx.doi.org/10.1088/0953-4075/34/23/317

DOI: 10.1088/0953-4075/34/23/317

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