# Self-consistent quantum kinetics of condensate and non-condensate via a coupled equation of motion formalism

Source: [Self-consistent quantum kinetics of condensate and non-condensate via a coupled equation of motion formalism](<https://www.sota2.com/research/paper/68fa25a82c2a3760193b286b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:52:21.977Z

Authors: N. P. Proukakis

Published: 2002-03-21T19:37:58.000Z

## Abstract

This paper extends an earlier quantum kinetics treatment for dilute, weakly-interacting, partially Bose-Einstein condensed gases, presented by the author elsewhere \[J. Res. Natl. Inst. Stand. Technol. 101, 457 (1996)\], 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. \[Phys. Rev. A 59, 3878 (1999)\], which further indicates the consistency of our treatment to the Kadanoff-Baym non-equilibrium Green's functions formalism for trapped gases.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0203450>)

[PDF](<https://arxiv.org/pdf/cond-mat/0203450.pdf>)