Relaxation and dephasing in a many-fermion generalization of the Caldeira-Leggett model
arXiv:quant-ph/0305098 · doi:10.1103/PhysRevLett.93.130404
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.
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