Mixed-Order Symmetry-Breaking Quantum Phase Transition Far from Equilibrium

T. O. Puel, Stefano Chesi, S. Kirchner, and P. Ribeiro
Phys. Rev. Lett. 122, 235701 – Published 13 June 2019
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Abstract

We study the current-carrying steady state of a transverse field Ising chain coupled to magnetic thermal reservoirs and obtain the nonequilibrium phase diagram as a function of the magnetization potential of the reservoirs. Upon increasing the magnetization bias we observe a discontinuous jump of the magnetic order parameter that coincides with a divergence of the correlation length. For steady states with a nonvanishing conductance, the entanglement entropy at zero temperature displays a bias dependent logarithmic correction that violates the area law and differs from the well-known equilibrium case. Our findings show that out-of-equilibrium conditions allow for novel critical phenomena not possible at equilibrium.

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  • Received 13 October 2018

DOI:https://doi.org/10.1103/PhysRevLett.122.235701

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & TechnologyInterdisciplinary PhysicsGeneral Physics

Authors & Affiliations

T. O. Puel1,2,3,4,*, Stefano Chesi1,5,†, S. Kirchner3,4,‡, and P. Ribeiro2,1,§

  • 1Beijing Computational Science Research Center, Beijing 100193, China
  • 2CeFEMA, Instituto Superior Técnico, Universidade de Lisboa Av. Rovisco Pais, 1049-001 Lisboa, Portugal
  • 3Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China
  • 4Zhejiang Province Key Laboratory of Quantum Technology and Devices, Zhejiang University, Hangzhou 310027, China
  • 5Department of Physics, Beijing Normal University, Beijing 100875, China

  • *tharnier@csrc.ac.cn
  • stefano.chesi@csrc.ac.cn
  • stefan.kirchner@correlated-matter.com
  • §pedrojgribeiro@tecnico.ulisboa.pt

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Issue

Vol. 122, Iss. 23 — 14 June 2019

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