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

2003/05/31 by Florian Marquardt, Dmitry S. Golubev, D. S. Golubev · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevlett.93.130404

published as Phys. Rev. Lett. 93, 130404 (2004) · revised version with new analytical expressions and other changes requested by referee, one new figure, reference to long version in cond-mat/0409401; 5 pages, 4 figures; see http://iff.physik.unibas.ch/~florian/dephasing/dephasing.html for an introduction to this topic

arxiv created 2004/09/15 · openalex publication_date 2004/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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