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

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

References in corpus (12)

• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Bosonization for Beginners --- Refermionization for Experts
• All-Optical Production of a Degenerate Fermi Gas
• Resonant control of elastic collisions in an optically trapped Fermi gas of atoms
• Spin-charge separation in ultra-cold quantum gases
• Open Luttinger liquids
• Dephasing at Low Temperatures
• Aharonov-Bohm ring with fluctuating flux
• Luttinger model approach to interacting one-dimensional fermions in a harmonic trap
• Two-component Fermi gas in a one-dimensional harmonic trap
• Treatment of backscattering in a gas of interacting fermions confined to a one-dimensional harmonic atom trap
• Phase theory and critical exponents for the Tomonaga-Luttinger model with harmonic confinement

Cited by in corpus (9)

• Decoherence and entropy of primordial fluctuations. I: Formalism and interpretation
• Equations of motion approach to decoherence and current noise in ballistic interferometers coupled to a quantum bath
• Weak-measurement-induced asymmetric dephasing: manifestation of intrinsic measurement chirality
• Recent progress in open quantum systems: Non-Gaussian noise and decoherence in fermionic systems
• Loss of quantum coherence in a system coupled to a zero-temperature environment
• A many-fermion generalization of the Caldeira-Leggett model
• Dynamic response of interacting one-dimensional fermions in the harmonic atom trap: Phase response and the inhomogeneous mobility
• The dephasing rate formula in the many body context
• Decoherence of fermions subject to a quantum bath