Viscous Dissipation in One-Dimensional Quantum Liquids
Strongly Correlated Electrons
2017-07-25 v2 Mesoscale and Nanoscale Physics
Quantum Gases
Abstract
We develop a theory of viscous dissipation in one-dimensional single-component quantum liquids at low temperatures. Such liquids are characterized by a single viscosity coefficient, the bulk viscosity. We show that for a generic interaction between the constituent particles this viscosity diverges in the zero-temperature limit. In the special case of integrable models, the viscosity is infinite at any temperature, which can be interpreted as a breakdown of the hydrodynamic description. Our consideration is applicable to all single-component Galilean-invariant one-dimensional quantum liquids, regardless of the statistics of the constituent particles and the interaction strength.
Keywords
Cite
@article{arxiv.1706.07004,
title = {Viscous Dissipation in One-Dimensional Quantum Liquids},
author = {K. A. Matveev and M. Pustilnik},
journal= {arXiv preprint arXiv:1706.07004},
year = {2017}
}