Viscous Dissipation in One-Dimensional Quantum Liquids

K. A. Matveev and M. Pustilnik
Phys. Rev. Lett. 119, 036801 – Published 20 July 2017

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.

  • Received 17 April 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.036801

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

K. A. Matveev1 and M. Pustilnik2

  • 1Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 2School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA

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Issue

Vol. 119, Iss. 3 — 21 July 2017

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