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Dynamical correlations and domain wall relocalization in transverse field Ising chains

Philippe Suchsland1,*, Benoît Douçot1,2, Vedika Khemani3, and Roderich Moessner1

  • *Contact author: philippe.suchsland@rwth-aachen.de
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Phys. Rev. B 112, 014311 – Published 21 July, 2025

DOI: https://doi.org/10.1103/nk3w-x4tt

Abstract

We study conventional and out-of-time-ordered correlators (OTOCs) for a wide variety of transverse field Ising chains: classical and quantum, clean and disordered, and integrable and generic. The setting we consider is that of a quantum quench. We find a remarkably rich phenomenology, ranging from stable periodic signals to ones decaying with varying rates. This variety is due to a complex interplay of constraints on thermalization imposed by integrability and symmetry. A process we term dynamical domain wall relocalization provides a long-lived signal in the clean, integrable case, which can be degraded by the addition of disorder even without interactions. Our results shed light on a proposal to use an OTOC as a dynamical diagnostic of a quantum phase more powerful than a standard observable.

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Phys. Rev. B 112, 014311– Published 21 July, 2025
  • Received 11 July 2022
  • Revised 28 February 2025
  • Accepted 24 June 2025
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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. Open access publication funded by Max Planck Society.

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