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Emergent black hole dynamics in critical Floquet systems

Bastien Lapierre, Kenny Choo, Clément Tauber, Apoorv Tiwari, Titus Neupert, and Ramasubramanian Chitra
Phys. Rev. Research 2, 023085 – Published 27 April 2020

Abstract

While driven interacting quantum matter is generically subject to heating and scrambling, certain classes of systems evade this paradigm. We study such an exceptional class in periodically driven critical (1+1)-dimensional systems with a spatially modulated but disorder-free time evolution operator. Instead of complete scrambling, the excitations of the system remain well defined. Their propagation is analogous to the evolution along light cones in a curved spacetime obtained by two black holes. The Hawking temperature serves as an order parameter which distinguishes between heating and nonheating phases. Beyond a timescale determined by the inverse Hawking temperature, excitations are absorbed by the black holes resulting in a singular concentration of energy at their horizon. We obtain these results analytically within conformal field theory, capitalizing on a mapping to sine-squared deformed field theories. Furthermore, by means of numerical calculations for an interacting XXZ spin-12 chain, we demonstrate that our findings survive lattice regularization.

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  • Received 25 September 2019
  • Revised 19 February 2020
  • Accepted 1 April 2020

DOI:https://doi.org/10.1103/PhysRevResearch.2.023085

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsGeneral PhysicsCondensed Matter, Materials & Applied PhysicsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Bastien Lapierre1,2, Kenny Choo2, Clément Tauber1, Apoorv Tiwari2,3, Titus Neupert2, and Ramasubramanian Chitra1

  • 1Institute for Theoretical Physics, ETH Zürich, Wolfgang-Pauli-Straße 27, 8093 Zürich, Switzerland
  • 2Department of Physics, University of Zürich, Winterthurerstraße 190, 8057 Zürich, Switzerland
  • 3Condensed Matter Theory Group, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland

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Vol. 2, Iss. 2 — April - June 2020

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