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Entanglement Dynamics in Spin Chains with Structured Long-Range Interactions

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Entanglement in Spin Chains

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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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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