Limitations of entanglement entropy in detecting thermal phase transitions

Niko Jokela; Helime Ruotsalainen; Javier G. Subils

doi:10.1007/JHEP01(2024)186

Limitations of entanglement entropy in detecting thermal phase transitions

Niko Jokela, Helime Ruotsalainen, Javier G. Subils

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We explore the efficacy of entanglement entropy as a tool for detecting thermal phase transitions in a family of gauge theories described holographically. The rich phase diagram of these theories encompasses first and second-order phase transitions, as well as a critical and a triple point. While entanglement measures demonstrate some success in probing transitions between plasma phases, they prove inadequate when applied to phase transitions leading to gapped phases. Nonetheless, entanglement measures excel in accurately determining the critical exponent associated with the observed phase transitions, providing valuable insight into the critical behavior of these systems.

Original language	English
Article number	186
Pages (from-to)	1-29
Number of pages	29
Journal	JHEP
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2024)186
Publication status	Published - 30 Jan 2024

Bibliographical note

Publisher Copyright:
© 2024, The Author(s).

Funding

We thank Antón Faedo for valuable discussions. J. S. thanks the possibility for participating in the PiTP 2023 program: “Understanding Confinement” in the last stages of this project. There, he enjoyed discussions on the topic of entanglement entropy as a probe of confinement with Andrea Bulgarelli, Igor Klebanov, and Pedro Jorge Martinez, to whom he is truly thankful. Nordita is supported in part by NordForsk. H. R. is supported in part by the Finnish Cultural Foundation.

Funders	Funder number
Suomen Kulttuurirahasto
NordForsk

Keywords

Chern-Simons Theories
Confinement
Gauge-Gravity Correspondence

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JHEP01(2024)186Final published version, 1.55 MBLicence: CC BY

Cite this

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AU - Subils, Javier G.

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N2 - We explore the efficacy of entanglement entropy as a tool for detecting thermal phase transitions in a family of gauge theories described holographically. The rich phase diagram of these theories encompasses first and second-order phase transitions, as well as a critical and a triple point. While entanglement measures demonstrate some success in probing transitions between plasma phases, they prove inadequate when applied to phase transitions leading to gapped phases. Nonetheless, entanglement measures excel in accurately determining the critical exponent associated with the observed phase transitions, providing valuable insight into the critical behavior of these systems.

AB - We explore the efficacy of entanglement entropy as a tool for detecting thermal phase transitions in a family of gauge theories described holographically. The rich phase diagram of these theories encompasses first and second-order phase transitions, as well as a critical and a triple point. While entanglement measures demonstrate some success in probing transitions between plasma phases, they prove inadequate when applied to phase transitions leading to gapped phases. Nonetheless, entanglement measures excel in accurately determining the critical exponent associated with the observed phase transitions, providing valuable insight into the critical behavior of these systems.

KW - Chern-Simons Theories

KW - Confinement

KW - Gauge-Gravity Correspondence

UR - http://inspirehep.net/record/2711839

UR - https://arxiv.org/abs/2310.11205

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EP - 29

JO - JHEP

JF - JHEP

IS - 1

M1 - 186

ER -

Limitations of entanglement entropy in detecting thermal phase transitions

Abstract

Bibliographical note

Funding

Keywords

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