https://doi.org/10.1140/epjs/s11734-023-00891-9
Review
Entanglement in the quantum spherical model: a review
1
Statistical Physics Group, Centre for Fluid and Complex Systems, Coventry University, Coventry, England, UK
2
Instituto de Física La Plata - CONICET and Departamento de Física, Universidad Nacional de La Plata C.C. 67, 1900, La Plata, Argentina
3
Dipartimento di Fisica dell’ Università di Pisa and INFN, Sezione di Pisa, 56127, Pisa, Italy
Received:
9
February
2023
Accepted:
12
May
2023
Published online:
14
June
2023
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.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.