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Fumihiko, Sugino
순수물리이론 연구단
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Highly entangled spin chains and 2D quantum gravity

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Title
Highly entangled spin chains and 2D quantum gravity
Author(s)
Fumihiko Sugino
Subject
Entanglement, ; Matrix models, ; Quantum gravity, ; Random surface, ; Spin chains
Publication Date
2020-06
Journal
SYMMETRY-BASEL, v.12, no.6, pp.916
Publisher
MDPI
Abstract
© 2020 by the authors. Motzkin and Fredkin spin chains exhibit the extraordinary amount of entanglement scaling as a square-root of the volume, which is beyond logarithmic scaling in the ordinary critical systems. Intensive study of such spin systems is urged to reveal novel features of quantum entanglement. As a study of the systems from a different viewpoint, we introduce large-N matrix models with so-called ABAB interactions, in which correlation functions reproduce the entanglement scaling in tree and planar Feynman diagrams. Including loop diagrams naturally defines an extension of the Motzkin and Fredkin spin chains. Contribution from the whole loop effects at large N gives the growth of the power of 3/2 (with logarithmic correction), further beyond the square-root scaling. The loop contribution provides fluctuating two-dimensional bulk geometry, and the enhancement of the entanglement is understood as an effect of quantum gravity.
URI
https://pr.ibs.re.kr/handle/8788114/7802
DOI
10.3390/SYM12060916
ISSN
2073-8994
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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