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Relaxation and dephasing in a many-fermion generalization of the Caldeira-Leggett model
Florian Marquardt1, D S Golubev
1Department of Physics, Yale University, New Haven, Connecticut 06520, USA.
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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