Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model

Johannes Lang, Bernhard Frank, and Jad C. Halimeh
Phys. Rev. B 97, 174401 – Published 3 May 2018

Abstract

We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field Ising model from the vantage point of two disparate concepts of dynamical criticality. An analytical derivation of the classical dynamics and exact diagonalization simulations are used to study the dynamics after a quantum quench in the system prepared in a thermal equilibrium state. The different dynamical phases characterized by the type of nonanalyticities that emerge in an appropriately defined Loschmidt-echo return rate directly correspond to the dynamical phases determined by the spontaneous breaking of Z2 symmetry in the long-time steady state. The dynamical phase diagram is qualitatively different depending on whether the initial thermal state is ferromagnetic or paramagnetic. Whereas the former leads to a dynamical phase diagram that can be directly related to its equilibrium counterpart, the latter gives rise to a divergent dynamical critical temperature at vanishing final transverse-field strength.

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  • Received 19 January 2018
  • Revised 17 April 2018

DOI:https://doi.org/10.1103/PhysRevB.97.174401

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Johannes Lang1, Bernhard Frank1, and Jad C. Halimeh1,2

  • 1Physik Department, Technische Universität München, 85747 Garching, Germany
  • 2Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany

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Issue

Vol. 97, Iss. 17 — 1 May 2018

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