A many-fermion generalization of the Caldeira-Leggett model
| dc.creator | Marquardt, Florian | |
| dc.creator | Golubev, D. S. | |
| dc.date | 2004-09-15 | |
| dc.date | 2004-11-18 | |
| dc.date.accessioned | 2026-07-07T06:27:43Z | |
| dc.date.available | 2026-07-07T06:27:43Z | |
| dc.description | 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, that results in complete thermalization of the system. | |
| dc.description | v3: fixed pdf problem; v2: added exact formula (Eq. 42) for Green's function and discussion of equilibrium density matrix (new Fig. 2); 10 figures, 21 pages, see quant-ph/0305098 for brief version of some of these results | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0409401 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0409401 | |
| dc.identifier | Phys. Rev. A 72, 022113 (2005) | |
| dc.identifier | doi:10.1103/PhysRevA.72.022113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97492 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | A many-fermion generalization of the Caldeira-Leggett model | |
| dc.type | text |