Derivation of non-Markovian transport equations for trapped cold atoms in nonequilibrium thermal field theory |
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Authors: | Y Nakamura T Sunaga Y Yamanaka |
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Institution: | a Department of Electronic and Photonic Systems, Waseda University, Tokyo 169-8555, Japan b Department of Physics, Waseda University, Tokyo 169-8555, Japan c Waseda University Honjo Senior High School, 1136 Nishitomida, Honjo, Saitama 367-0035, Japan d CCSE, Japan Atomic Energy Agency, 6-9-3 Higashi-Ueno, Taito-ku, Tokyo 110-0015, Japan e CREST(JST), 4-1-8 Honcho, Kawaguchi-shi, Saitama 332-0012, Japan |
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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. |
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Keywords: | Bose-Einstein condensation Thermal field theory Nonequilibrium Transport equation Kinetic equation |
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