Entanglement in the quantum spherical model: a review

Sascha Wald; Raul Arias; Vincenzo Alba

doi:10.1140/epjs/s11734-023-00891-9

Entanglement in the quantum spherical model: a review

Sascha Wald, Raul Arias, Vincenzo Alba

Research Centre for Fluid and Complex Systems

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1 Citation (Scopus)

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Abstract

We review some recent results on entanglement in the Quantum Spherical Model (QSM). The focus lays on the physical results rather than the mathematical details. Specifically, we study several entanglement-related quantities, such as entanglement entropies, and logarithmic negativity, in the presence of quantum and classical critical points, and in magnetically ordered phases. We consider both the short as well as the long-range QSM. The study of entanglement properties of the QSM is feasible because the model is mappable to a Gaussian system in any dimension. Despite this fact the QSM is an ideal theoretical laboratory to investigate a wide variety of physical scenarios, such as non mean field criticality, the effect of long-range interactions, the interplay between finite-temperature fluctuations and genuine quantum ones.

Original language	English
Pages (from-to)	1799-1811
Number of pages	13
Journal	The European Physical Journal Special Topics
Volume	232
Issue number	11
Early online date	14 Jun 2023
DOIs	https://doi.org/10.1140/epjs/s11734-023-00891-9
Publication status	Published - Sept 2023

Bibliographical note

The final publication is available at Springer via http://dx.doi.org/10.1140/epjs/s11734-023-00891-9

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

This document is the author’s post-print version, incorporating any revisions agreed during the peer-review process. Some differences between the published version and this version may remain and you are advised to consult the published version if you wish to cite from it.

Keywords

entanglement
entanglement gap
Schmidt gap
entanglement negativity
universality
phase transition
quantum phase transition
classical and quantum fluctuations
long-range interactions

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10.1140/epjs/s11734-023-00891-9

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Cite this

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Entanglement in the quantum spherical model: a review

Abstract

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Keywords

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