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dc.contributor.author
Wald, Sascha
dc.contributor.author
Arias, Raúl Eduardo
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dc.contributor.author
Alba, Vincenzo
dc.date.available
2021-10-14T01:08:55Z
dc.date.issued
2020-03-20
dc.identifier.citation
Wald, Sascha; Arias, Raúl Eduardo; Alba, Vincenzo; Entanglement and classical fluctuations at finite-temperature critical points; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2020; 3; 20-3-2020; 1-40
dc.identifier.issn
1742-5468
dc.identifier.uri
http://hdl.handle.net/11336/143465
dc.description.abstract
We investigate several entanglement-related quantities at finite-temperature criticality in the three-dimensional quantum spherical model, both as a function of temperature T and of the quantum parameter g, which measures the strength of quantum fluctuations. While the von Neumann and the Rényi entropies exhibit a volume-law for any g and T, the mutual information obeys an area law. The prefactors of the volume-law and of the area-law are regular across the transition, reflecting that universal singular terms vanish at the transition. This implies that the mutual information is dominated by nonuniversal contributions. This hampers its use as a witness of criticality, at least in the spherical model. We also study the logarithmic negativity. For any value of g, T, the negativity exhibits an area-law. The negativity vanishes deep in the paramagnetic phase, it is larger at small temperature, and it decreases upon increasing the temperature. For any g, it exhibits the so-called sudden death, i.e. it is exactly zero for large enough T. The vanishing of the negativity defines a ?death line?, which we characterise analytically at small g. Importantly, for any finite T the area-law prefactor is regular across the transition, whereas it develops a cusp-like singularity in the limit . Finally, we consider the single-particle entanglement and negativity spectra. The vast majority of the levels are regular across the transition. Only the larger ones exhibit singularities. These are related to the presence of a zero mode, which reflects the symmetry breaking. This implies the presence of sub-leading singular terms in the entanglement entropies. Interestingly, since the larger levels do not contribute to the negativity, sub-leading singular corrections are expected to be suppressed for the negativity.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ENTANGLEMENT
dc.subject
CRITICAL POINTS
dc.subject
SPHERICAL MODEL
dc.subject
ENTANGLEMENT NEGATIVITY
dc.subject.classification
Física de los Materiales Condensados
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Entanglement and classical fluctuations at finite-temperature critical points
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-06T17:49:04Z
dc.journal.volume
2020
dc.journal.number
3
dc.journal.pagination
1-40
dc.journal.pais
Reino Unido
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dc.description.fil
Fil: Wald, Sascha. Scuola Internazionale Superiore Di Studi Avanzati; Italia. National Institute of Nuclear Physics; Italia
dc.description.fil
Fil: Arias, Raúl Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Scuola Internazionale Superiore Di Studi Avanzati; Italia
dc.description.fil
Fil: Alba, Vincenzo. University of Amsterdam; Países Bajos
dc.journal.title
Journal of Statistical Mechanics: Theory and Experiment
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1742-5468/ab6b19
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1742-5468/ab6b19
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