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dc.contributor.author
Casini, Horacio German
dc.contributor.author
Liu, Hong
dc.contributor.author
Mezei, Márk
dc.date.available
2018-06-21T21:42:44Z
dc.date.issued
2016-07-14
dc.identifier.citation
Casini, Horacio German; Liu, Hong; Mezei, Márk; Spread of entanglement and causality; Springer; Journal of High Energy Physics; 2016; 7; 14-7-2016; 1-78
dc.identifier.issn
1126-6708
dc.identifier.uri
http://hdl.handle.net/11336/49613
dc.description.abstract
We investigate causality constraints on the time evolution of entanglement entropy after a global quench in relativistic theories. We first provide a general proof that the so-called tsunami velocity is bounded by the speed of light. We then generalize the free particle streaming model of [1] to general dimensions and to an arbitrary entanglement pattern of the initial state. In more than two spacetime dimensions the spread of entanglement in these models is highly sensitive to the initial entanglement pattern, but we are able to prove an upper bound on the normalized rate of growth of entanglement entropy, and hence the tsunami velocity. The bound is smaller than what one gets for quenches in holographic theories, which highlights the importance of interactions in the spread of entanglement in many-body systems. We propose an interacting model which we believe provides an upper bound on the spread of entanglement for interacting relativistic theories. In two spacetime dimensions with multiple intervals, this model and its variations are able to reproduce intricate results exhibited by holographic theories for a significant part of the parameter space. For higher dimensions, the model bounds the tsunami velocity at the speed of light. Finally, we construct a geometric model for entanglement propagation based on a tensor network construction for global quenches.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Ads-Cft Correspondence
dc.subject
Field Theories in Higher Dimensions
dc.subject.classification
Astronomía
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Spread of entanglement and causality
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-06-06T21:01:53Z
dc.journal.volume
2016
dc.journal.number
7
dc.journal.pagination
1-78
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Casini, Horacio German. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Liu, Hong. Massachusetts Institute of Technology; Estados Unidos
dc.description.fil
Fil: Mezei, Márk. University of Princeton; Estados Unidos
dc.journal.title
Journal of High Energy Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/JHEP07(2016)077
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP07%282016%29077
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