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Entanglement Dynamics in Spin Chains with Structured Long-Range Interactions

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Entanglement in Spin Chains

Part of the book series: Quantum Science and Technology ((QST))

Abstract

The systems we encounter most often in condensed matter physics generally exhibit effective local interactions in regular 3D, 2D, or 1D structures. In these systems, correlations tend to spread, and entanglement builds up in a way constrained by a so-called Lieb–Robinson bound—where the development of correlations in time is strong within a lightcone (often determined away from criticality by the maximum group velocity for quasiparticles in a system), and correlations tend to decay exponentially outside that lightcone. This constrains (or delays) the development of entanglement, especially between distant regions in such systems.

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Author information

Authors and Affiliations

  1. Martin A. Fisher School of Physics, Brandeis University, Waltham, MA, USA

    Gregory S. Bentsen

  2. Department of Physics and SUPA, University of Strathclyde, Glasgow, UK

    Andrew J. Daley

  3. CNRS, ISIS (UMR 7006), and Université de Strasbourg, Strasbourg, France

    Johannes Schachenmayer

Authors
  1. Gregory S. Bentsen
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  2. Andrew J. Daley
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  3. Johannes Schachenmayer
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Corresponding author

Correspondence to Andrew J. Daley .

Editor information

Editors and Affiliations

  1. Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, China

    Abolfazl Bayat

  2. Department of Physics and Astronomy, University College London, London, UK

    Sougato Bose

  3. Department of Physics, University of Gothenburg, Göteborg, Sweden

    Henrik Johannesson

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Bentsen, G.S., Daley, A.J., Schachenmayer, J. (2022). Entanglement Dynamics in Spin Chains with Structured Long-Range Interactions. In: Bayat, A., Bose, S., Johannesson, H. (eds) Entanglement in Spin Chains. Quantum Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-031-03998-0_11

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