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

Autor: Nakamura, Y., Sunaga, T., Mine, M., Okumura, M., Yamanaka, Y.
Rok vydání: 2009
Předmět:
Zdroj: Ann. Phys. 325 (2010) 426
Druh dokumentu: Working Paper
DOI: 10.1016/j.aop/2009.09.014
Popis: 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.
Comment: 12 pages, 2 figures
Databáze: arXiv