Entanglement growth after a global quench in free scalar field theory

We compute the entanglement and Rényi entropy growth after a global quench in various dimensions in free scalar field theory. We study two types of quenches: a boundary state quench and a global mass quench. Both of these quenches are investigated for a strip geometry in 1, 2, and 3 spatial dimensio...

Full description

Bibliographic Details
Main Authors: Cotler, Jordan S., Hertzberg, Mark P., Mezei, Márk, Mueller, Mark
Other Authors: Massachusetts Institute of Technology. Laboratory for Nuclear Science
Format: Article
Published: Springer Berlin Heidelberg 2017
Online Access:http://hdl.handle.net/1721.1/108612
https://orcid.org/0000-0003-0245-3364
_version_ 1826210030537408512
author Cotler, Jordan S.
Hertzberg, Mark P.
Mezei, Márk
Mueller, Mark
author2 Massachusetts Institute of Technology. Laboratory for Nuclear Science
author_facet Massachusetts Institute of Technology. Laboratory for Nuclear Science
Cotler, Jordan S.
Hertzberg, Mark P.
Mezei, Márk
Mueller, Mark
author_sort Cotler, Jordan S.
collection MIT
description We compute the entanglement and Rényi entropy growth after a global quench in various dimensions in free scalar field theory. We study two types of quenches: a boundary state quench and a global mass quench. Both of these quenches are investigated for a strip geometry in 1, 2, and 3 spatial dimensions, and for a spherical geometry in 2 and 3 spatial dimensions. We compare the numerical results for massless free scalars in these geometries with the predictions of the analytical quasiparticle model based on EPR pairs, and find excellent agreement in the limit of large region sizes. At subleading order in the region size, we observe an anomalous logarithmic growth of entanglement coming from the zero mode of the scalar.
first_indexed 2024-09-23T14:40:14Z
format Article
id mit-1721.1/108612
institution Massachusetts Institute of Technology
last_indexed 2024-09-23T14:40:14Z
publishDate 2017
publisher Springer Berlin Heidelberg
record_format dspace
spelling mit-1721.1/1086122022-09-29T10:07:23Z Entanglement growth after a global quench in free scalar field theory Cotler, Jordan S. Hertzberg, Mark P. Mezei, Márk Mueller, Mark Massachusetts Institute of Technology. Laboratory for Nuclear Science Mueller, Mark We compute the entanglement and Rényi entropy growth after a global quench in various dimensions in free scalar field theory. We study two types of quenches: a boundary state quench and a global mass quench. Both of these quenches are investigated for a strip geometry in 1, 2, and 3 spatial dimensions, and for a spherical geometry in 2 and 3 spatial dimensions. We compare the numerical results for massless free scalars in these geometries with the predictions of the analytical quasiparticle model based on EPR pairs, and find excellent agreement in the limit of large region sizes. At subleading order in the region size, we observe an anomalous logarithmic growth of entanglement coming from the zero mode of the scalar. 2017-05-02T19:03:00Z 2017-05-02T19:03:00Z 2016-11 2016-09 2017-03-01T15:33:04Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/108612 Cotler, Jordan S., Mark P. Hertzberg, Márk Mezei, and Mark T. Mueller. “Entanglement Growth after a Global Quench in Free Scalar Field Theory.” Journal of High Energy Physics 2016, no. 11 (November 2016). https://orcid.org/0000-0003-0245-3364 http://dx.doi.org/10.1007/JHEP11(2016)166 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg TopicHub SCOAP3
spellingShingle Cotler, Jordan S.
Hertzberg, Mark P.
Mezei, Márk
Mueller, Mark
Entanglement growth after a global quench in free scalar field theory
title Entanglement growth after a global quench in free scalar field theory
title_full Entanglement growth after a global quench in free scalar field theory
title_fullStr Entanglement growth after a global quench in free scalar field theory
title_full_unstemmed Entanglement growth after a global quench in free scalar field theory
title_short Entanglement growth after a global quench in free scalar field theory
title_sort entanglement growth after a global quench in free scalar field theory
url http://hdl.handle.net/1721.1/108612
https://orcid.org/0000-0003-0245-3364
work_keys_str_mv AT cotlerjordans entanglementgrowthafteraglobalquenchinfreescalarfieldtheory
AT hertzbergmarkp entanglementgrowthafteraglobalquenchinfreescalarfieldtheory
AT mezeimark entanglementgrowthafteraglobalquenchinfreescalarfieldtheory
AT muellermark entanglementgrowthafteraglobalquenchinfreescalarfieldtheory