Dynamical phase diagram of quantum spin chains with long-range interactions

Jad C. Halimeh and Valentin Zauner-Stauber
Phys. Rev. B 96, 134427 – Published 26 October 2017

Abstract

Using an infinite matrix product state (iMPS) technique based on the time-dependent variational principle (TDVP), we study two major types of dynamical phase transitions (DPT) in the one-dimensional transverse-field Ising model (TFIM) with long-range power-law (1/rα with r interspin distance) interactions out of equilibrium in the thermodynamic limit—DPT-I: based on an order parameter in a (quasi-)steady state, and DPT-II: based on nonanalyticities (cusps) in the Loschmidt-echo return rate. We construct the corresponding rich dynamical phase diagram, while considering different quench initial conditions. We find a nontrivial connection between both types of DPT based on their critical lines. Moreover, and very interestingly, we detect a new DPT-II dynamical phase in a certain range of interaction exponent α, characterized by what we call anomalous cusps that are distinct from the regular cusps usually associated with DPT-II. Our results provide the characterization of experimentally accessible signatures of the dynamical phases studied in this work.

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  • Received 8 October 2016
  • Revised 27 September 2017

DOI:https://doi.org/10.1103/PhysRevB.96.134427

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalStatistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Jad C. Halimeh1,2 and Valentin Zauner-Stauber3

  • 1Physics Department and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, D-80333 München, Germany
  • 2Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
  • 3Vienna Center for Quantum Technology, University of Vienna, Boltzmanngasse 5, 1090 Wien, Austria

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Issue

Vol. 96, Iss. 13 — 1 October 2017

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