Many-fermion generalization of the Caldeira-Leggett model

Journal Article · Mon Aug 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.022113· OSTI ID:20718059

Marquardt, Florian; Golubev, D S ^[1]

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1. Department of Physics, Yale University, New Haven, Connecticut 06520 (United States) and Sektion Physik, Ludwig-Maximilians-University Munich, Theresienstr. 37, 80333 Munich (Germany)

We analyze a model system of fermions in a harmonic oscillator potential under the influence of a dissipative environment: The fermions are subject to a fluctuating force deriving from 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 one- and two-particle Green's functions of the fermions. We discuss the relaxation of a single extra particle added above the Fermi sea, considering also dephasing of a particle added in a coherent superposition of states. The consequences of the separation of center-of-mass and relative motion, the Pauli principle, and the bath-induced effective interaction are discussed. Finally, we extend our analysis to a more generic coupling between system and bath, which results in complete thermalization of the system.

• OSTI ID: 20718059
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSON EXPANSION
CENTER-OF-MASS SYSTEM
COUPLING
FERMIONS
FLUCTUATIONS
GREEN FUNCTION
HARMONIC OSCILLATORS
PAULI PRINCIPLE
POTENTIALS
RELAXATION
THERMALIZATION