Spreading of correlations and entanglement in the long-range transverse Ising chain

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Schneider, J. T. and Despres, J. and Thomson, S. J. and Tagliacozzo, L. and Sanchez-Palencia, L. (2021) Spreading of correlations and entanglement in the long-range transverse Ising chain. Physical Review Research, 3 (1). L012022. ISSN 2643-1564 (https://doi.org/10.1103/PhysRevResearch.3.L012022)

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Abstract

Whether long-range interactions allow for a form of causality in nonrelativistic quantum models remains an open question with far-reaching implications for the propagation of information and thermalization processes. Here, we study the out-of-equilibrium dynamics of the one-dimensional transverse Ising model with algebraic long-range exchange coupling. Using a state of the art tensor-network approach, complemented by analytic calculations and considering various observables, we show that a weak form of causality emerges, characterized by nonuniversal dynamical exponents. While the local spin and spin correlation causal edges are sub-ballistic, the causal region has a rich internal structure, which, depending on the observable, displays ballistic or superballistic features. In contrast, the causal region of entanglement entropy is featureless and its edge is always ballistic, irrespective of the interaction range. Our results shed light on the propagation of information in long-range interacting lattice models and pave the way to future experiments, which are discussed.

ORCID iDs

Schneider, J. T., Despres, J., Thomson, S. J., Tagliacozzo, L. ORCID logoORCID: https://orcid.org/0000-0002-5858-1587 and Sanchez-Palencia, L.;
  • Item type:Article
    ID code:78323
    Dates:
    Date
    Event
    5 March 2021
    Published
    28 January 2021
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:28 Oct 2021 16:01
    Last modified:12 Dec 2024 12:13
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/78323
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