Highly entangled quantum spin chains and their semigroup extensions

Fumihiko Sugino; Pramod Padmanabhan; Vladimir Korepin

Highly entangled quantum spin chains and their semigroup extensions

Fumihiko Sugino
, Pramod Padmanabhan
, Vladimir Korepin

Institute for Theoretical Physics

Stony Brook University

Institute for Basic Science

Research output: Contribution to journal › Conference article › peer-review

Abstract

We discuss spin chain models exhibiting extraordinary large entanglement which violates the area law by a square root of the volume. It is striking because the violation had been believed to be at most logarithmic over twenty years. Next, we construct extended models of the spin chains based on symmetric inverse semigroups. It will be interesting to apply these models to problems in quantum gravity or black holes.

Original language	English
Article number	319
Journal	Proceedings of Science
Volume	340
State	Published - 2019
Event	39th International Conference on High Energy Physics, ICHEP 2018 - Seoul, Korea, Republic of Duration: Jul 4 2018 → Jul 11 2018

Cite this

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title = "Highly entangled quantum spin chains and their semigroup extensions",

abstract = "We discuss spin chain models exhibiting extraordinary large entanglement which violates the area law by a square root of the volume. It is striking because the violation had been believed to be at most logarithmic over twenty years. Next, we construct extended models of the spin chains based on symmetric inverse semigroups. It will be interesting to apply these models to problems in quantum gravity or black holes.",

author = "Fumihiko Sugino and Pramod Padmanabhan and Vladimir Korepin",

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T1 - Highly entangled quantum spin chains and their semigroup extensions

AU - Sugino, Fumihiko

AU - Padmanabhan, Pramod

AU - Korepin, Vladimir

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

PY - 2019

Y1 - 2019

N2 - We discuss spin chain models exhibiting extraordinary large entanglement which violates the area law by a square root of the volume. It is striking because the violation had been believed to be at most logarithmic over twenty years. Next, we construct extended models of the spin chains based on symmetric inverse semigroups. It will be interesting to apply these models to problems in quantum gravity or black holes.

AB - We discuss spin chain models exhibiting extraordinary large entanglement which violates the area law by a square root of the volume. It is striking because the violation had been believed to be at most logarithmic over twenty years. Next, we construct extended models of the spin chains based on symmetric inverse semigroups. It will be interesting to apply these models to problems in quantum gravity or black holes.

UR - https://www.scopus.com/pages/publications/85083506537

M3 - Conference article

SN - 1824-8039

VL - 340

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 319

T2 - 39th International Conference on High Energy Physics, ICHEP 2018

Y2 - 4 July 2018 through 11 July 2018

ER -

Highly entangled quantum spin chains and their semigroup extensions

Abstract

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