Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-07-29
Ann. Phys. 325 (2010) 426
Physics
Condensed Matter
Quantum Gases
12 pages, 2 figures
Scientific paper
10.1016/j.aop/2009.09.014
The non-Markoffian 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 filed 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-Markoffian transport equation for the non-condensed system, derived at the two-loop level, is reduced in the Markoffian 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.
Mine Makoto
Nakamura Yoshifumi
Okumura Masahiko
Sunaga Tomoka
Yamanaka Yasuhiro
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