Derivation of non-Markovian transport equations for trapped cold atoms in nonequilibrium thermal field theory

Y. Nakamura, T. Sunaga, M. Mine, M. Okumura, Y. Yamanaka

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The non-Markovian transport equations for the systems of cold Bose atoms confined by a external potential both without and with a Bose-Einstein condensate are derived in the framework of nonequilibrium thermal field theory (Thermo Field Dynamics). Our key elements are an explicit particle representation and a self-consistent renormalization condition which are essential in thermal field theory. The non-Markovian transport equation for the non-condensed system, derived at the two-loop level, is reduced in the Markovian limit to the ordinary quantum Boltzmann equation derived in the other methods. For the condensed system, we derive a new transport equation with an additional collision term which becomes important in the Landau instability.

Original languageEnglish
Pages (from-to)426-441
Number of pages16
JournalAnnals of Physics
Issue number2
Publication statusPublished - 2010 Feb 1



  • Bose-Einstein condensation
  • Kinetic equation
  • Nonequilibrium
  • Thermal field theory
  • Transport equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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