Many-fermion generalization of the Caldeira-Leggett model

Marquardt, F; Golubev, D S

doi:10.1103/PhysRevA.72.022113

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Many-fermion generalization of the Caldeira-Leggett model

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Marquardt, F., & Golubev, D. S. (2005). Many-fermion generalization of the Caldeira-Leggett model. Physical Review A, 72(2): 022113. doi:10.1103/PhysRevA.72.022113.

Cite as: https://hdl.handle.net/21.11116/0000-0001-DF6A-E

Abstract

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.