Entanglement in the quantum spherical model: a review

Sascha Wald, Raul Arias, Vincenzo Alba

Research output: Contribution to journalReview articlepeer-review

1 Citation (Scopus)
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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 languageEnglish
Pages (from-to)1799-1811
Number of pages13
JournalThe European Physical Journal Special Topics
Issue number11
Early online date14 Jun 2023
Publication statusPublished - Sept 2023

Bibliographical note

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

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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.


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


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