Dissipationless kinetics of one-dimensional interacting fermions
Abstract
We study the problem of evolution of a density pulse of one-dimensional interacting fermions with a nonlinear single-particle spectrum. We show that, despite the non-Fermi-liquid nature of the problem, nonequilibrium phenomena can be described in terms of a kinetic equation for certain quasiparticles related to the original fermions by a nonlinear transformation which decouples the left- and right-moving excitations. Employing this approach, we investigate the kinetics of the phase-space distribution of the quasiparticles and thus determine the time evolution of the density pulse. This allows us to explore a crossover from the essentially free-fermion evolution for weak or short-range interaction to hydrodynamics emerging in the case of sufficiently strong, long-range interaction.
- Publication:
-
Physical Review B
- Pub Date:
- April 2014
- DOI:
- 10.1103/PhysRevB.89.161104
- arXiv:
- arXiv:1307.2771
- Bibcode:
- 2014PhRvB..89p1104P
- Keywords:
-
- 73.23.-b;
- 73.21.Hb;
- 73.22.Lp;
- 47.37.+q;
- Electronic transport in mesoscopic systems;
- Quantum wires;
- Collective excitations;
- Hydrodynamic aspects of superfluidity;
- quantum fluids;
- Condensed Matter - Strongly Correlated Electrons;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 4+ pages, supplementary materials are attached as appendix