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Temperature-dependent Bogoliubov approximation in the classical field approach to weakly interacting Bose gases

2003/11/27 by Miroslaw Brewczyk, Miros aw Brewczyk, Peter Borowski +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat

paper · pdf · doi:10.1088/0953-4075/37/13/010

published as J. Phys. B: At. Mol. Opt. Phys. 37 (2004) 2725 · 9 pages, 12 figures

arxiv created 2003/11/27 · openalex publication_date 2004/06/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

A classical field approximation to the finite temperature microcanonical thermodynamics of weakly interacting Bose gases is applied to the idealized case of atoms confined in a box with periodic boundary conditions. The whole isolated system is described by a set of classical amplitudes. We show that if the system is in equilibrium the classical amplitudes follow the equipartition theorem which allows us to assign a unique temperature to each given energy state. We also analyse the spectral properties of classical amplitudes and obtain nonperturbative results for the chemical potential as well as temperature-dependent Bogoliubov frequencies and their damping rates. Where available, we make comparison with the analytical estimates of these quantities.

Citations