Nonequilibrium universality in the heating dynamics of interacting Luttinger liquids

Michael Buchhold and Sebastian Diehl
Phys. Rev. A 92, 013603 – Published 2 July 2015

Abstract

We establish a nonequilibrium scaling regime in the short-time evolution of one-dimensional interacting open quantum systems subject to a generic heating mechanism. This dynamical regime is characterized by uncompensated phonon production and a superdiffusive, universal scaling of quasiparticle lifetimes with momentum q5/3, distinct from the finite- and zero-temperature cases. It is separated from a high-momentum regime by a time-dependent scale fading out as q0(t)t4/5. In the latter region we observe thermalization to an effective time-dependent equilibrium with linearly increasing temperature. By mapping out the dynamical phase diagram and computing the dynamical structure factor within an open-system Keldysh functional integral approach, we show how these predictions can be explored in cold-atom experiments by means of Bragg spectroscopy.

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  • Received 14 January 2015

DOI:https://doi.org/10.1103/PhysRevA.92.013603

©2015 American Physical Society

Authors & Affiliations

Michael Buchhold and Sebastian Diehl

  • Institute for Theoretical Physics, Technical University of Dresden, 01062, Dresden, Germany and Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria

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Vol. 92, Iss. 1 — July 2015

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