### Abstract

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 language | English |
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Pages (from-to) | 426-441 |

Number of pages | 16 |

Journal | Annals of Physics |

Volume | 325 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2010 Feb 1 |

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*Annals of Physics*,

*325*(2), 426-441. https://doi.org/10.1016/j.aop.2009.09.014