Equilibration of a one-dimensional quantum liquid
arXiv:1304.6012 · doi:10.1134/S1063776113110137
Abstract
We review some of the recent results on equilibration of one-dimensional quantum liquids. The low-energy properties of these systems are described by the Luttinger liquid theory, in which the excitations are bosonic quasiparticles. At low temperatures the relaxation of the gas of excitations toward full equilibrium is exponentially slow. In electronic Luttinger liquids these relaxation processes involve backscattering of electrons and give rise to interesting corrections to the transport properties of one-dimensional conductors. We focus on the phenomenological theory of the equilibration of a quantum liquid and obtain an expression for the relaxation rate in terms of the excitation spectrum.
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Cited by in corpus (9)
- Coulomb drag
- Decay of fermionic quasiparticles in one-dimensional quantum liquids
- Relaxation in Luttinger liquids: Bose-Fermi duality
- Thermal conductivity of the degenerate one-dimensional Fermi gas
- Interaction-induced backscattering in short quantum wires
- Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal
- Hall response in interacting bosonic and fermionic ladders
- Long lifetimes of ultra-hot particles in interacting Fermi systems
- Brownian scattering of a spinon in a Luttinger liquid