Equivalence of Kinetic Theories of Bose-Einstein Condensation

Details Equivalence of Kinetic Theories of Bose-Einstein Condensation Equivalence of Kinetic Theories of Bose-Einstein Condensation

2001-05-09

arxiv.org/abs/cond-mat/0105181v2

Phys. Rev. A 64, 053612 (2001)

Physics

Condensed Matter

Statistical Mechanics

REVTeX3, 6 pages, 2 eps figures, published version, minor changes

Scientific paper

10.1103/PhysRevA.64.053612

We discuss the equivalence of two non-equilibrium kinetic theories that describe the evolution of a dilute, Bose-Einstein condensed atomic gas in a harmonic trap. The second-order kinetic equations of Walser et al. [PRA 63, 013607 (2001)] reduce to the Gross-Pitaevskii equation and the quantum Boltzmann equation in the low and high temperature limits, respectively. These kinetic equations can thus describe the system in equilibrium (finite temperature) as well as in non-equilibrium (real time). We have found this theory to be equivalent to the non-equilibrium Green's function approach originally proposed by Kadanoff and Baym and more recently applied to inhomogeneous trapped systems by M. Imamovi\'c-Tomasovi\'c and A. Griffin [arXiv:cond-mat/9911402].

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