Energy drag and shear viscosity in interacting quantum systems

ORAL

Abstract

There has recently been a wave of interest in the hydrodynamical behavior of quantum many-body systems. Using `Coulomb drag’ physics as a guide, we discuss analogues of shear viscosity in quantum systems on discrete lattices. We argue that, although particle-hole symmetric materials have zero Coulomb drag, they nevertheless show a thermal equivalent in the form of drag between energy currents. Using a combination of perturbation theory and techniques from integrability, we give analytical predictions for this effect in coupled one-dimensional wires and compare them to DMRG studies on the Hubbard model. We comment on the generalization of these results to higher dimensional systems.

*The authors acknowledge support from the Hellman Grauate Fellowship (W.B.), the Emergent Phenomena in Quantum Systems (EPiQS) initiative of the Gordon and Betty Moore Foundation (T.S.) and NSF DMR-1507141 and a Simons Investigatorship (J.E.M.).

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Presenters

  • William Berdanier

    • University of California, Berkeley

Authors

  • William Berdanier

    • University of California, Berkeley

  • Thomas Scaffidi

    • University of California, Berkeley
    • Department of Physics, University of California, Berkeley, California 94720, USA

  • Christoph Karrasch

    • Freie Universitaet Berlin
    • Physics, Freie Universität Berlin
    • Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin

  • Joel Moore

    • University of California, Berkeley
    • Department of Physics, University of California, Berkeley, California 94720, USA
    • University of California, Berkeley and Lawrence Berkeley National Laboratory
    • Physics, University of California, Berkeley
    • University of California, Berkeley, and Lawrence Berkeley National Laboratory