Relaxation and dephasing in a many-fermion generalization of the Caldeira-Leggett model

Physics – Quantum Physics

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revised version with new analytical expressions and other changes requested by referee, one new figure, reference to long vers

Scientific paper

10.1103/PhysRevLett.93.130404

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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