English

Gapless kinetic theory beyond the Popov approximation

Statistical Mechanics 2007-05-23 v1

Abstract

We present a unified kinetic theory that describes the finite-temperature, non-equilibrium dynamics of a Bose-Einstein condensed gas interacting with a thermal cloud. This theory includes binary interactions to second order in the interaction potential and reduces to a diagonal quantum Boltzmann equation for Bogoliubov quasiparticles. The Hartree-Fock-Bogoliubov interactions include the pairing field and are expressed as many-body TT matrices to second order. The interactions thus include the correct renormalized scattering physics. This renormalized theory is automatically gapless. Thus, the excited Bogoliubov modes are naturally orthogonal to the condensate ground state.

Keywords

Cite

@article{arxiv.cond-mat/0212432,
  title  = {Gapless kinetic theory beyond the Popov approximation},
  author = {J. Wachter and R. Walser and J. Cooper and M. Holland},
  journal= {arXiv preprint arXiv:cond-mat/0212432},
  year   = {2007}
}

Comments

12 pgs, 3 figs, RevTeX4, submitted to PRA

R2 v1 2026-07-22T10:44:56.051Z