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Phys. Rev. Lett. 93, 130404 (2004) [4 pages]

Relaxation and Dephasing in a Many-Fermion Generalization of the Caldeira-Leggett Model

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Florian Marquardt1 and D. S. Golubev2,3
1Department of Physics, Yale University, New Haven, Connecticut 06520, USA
2Institut für Theoretische Festkörperphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany
3I. E. Tamm Department of Theoretical Physics, P. N. Lebedev Physics Institute, 119991 Moscow, Russia

Received 18 May 2003; published 22 September 2004

We analyze a model system of fermions in a harmonic oscillator potential under the influence of a fluctuating force generated by a bath of harmonic oscillators. This represents an extension of the well-known Caldeira-Leggett model to the case of many fermions. Using the method of bosonization, we calculate Green’s functions and discuss relaxation and dephasing of a single extra particle added above the Fermi sea. We also extend our analysis to a more generic coupling between system and bath that results in complete thermalization of the system.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.130404
DOI:
10.1103/PhysRevLett.93.130404
PACS:
03.65.Yz, 05.30.Fk, 71.10.Pm