Loschmidt Echo Revivals: Critical and Noncritical

R. Jafari and Henrik Johannesson
Phys. Rev. Lett. 118, 015701 – Published 5 January 2017
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Abstract

A quantum phase transition is generally thought to imprint distinctive characteristics on the nonequilibrium dynamics of a closed quantum system. Specifically, the Loschmidt echo after a sudden quench to a quantum critical point—measuring the time dependence of the overlap between initial and time-evolved states—is expected to exhibit an accelerated relaxation followed by periodic revivals. We here introduce a new exactly solvable model, the extended Su-Schrieffer-Heeger model, the Loschmidt echo of which provides a counterexample. A parallell analysis of the quench dynamics of the three-site spin-interacting XY model allows us to pinpoint the conditions under which a periodic Loschmidt revival actually appears.

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  • Received 24 August 2016

DOI:https://doi.org/10.1103/PhysRevLett.118.015701

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyStatistical Physics & ThermodynamicsCondensed Matter, Materials & Applied PhysicsGeneral Physics

Authors & Affiliations

R. Jafari1,2,3 and Henrik Johannesson1,2

  • 1Beijing Computational Science Research Center, Beijing 100094, China
  • 2Department of Physics, University of Gothenburg, SE 412 96 Gothenburg, Sweden
  • 3Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran

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Issue

Vol. 118, Iss. 1 — 6 January 2017

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