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arXiv · 2207.09502

Dynamical correlations and domain wall relocalization in transverse field Ising chains

Philippe Suchsland·Benoît Douçot·Vedika Khemani·Roderich Moessner
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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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Philippe Suchsland, Benoît Douçot, Vedika Khemani, Roderich Moessner. 2022-07-19. Dynamical correlations and domain wall relocalization in transverse field Ising chains. https://doi.org/10.1103/nk3w-x4tt

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