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...
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Springer Berlin Heidelberg
2017
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Online Access: | http://hdl.handle.net/1721.1/108612 https://orcid.org/0000-0003-0245-3364 |
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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 |
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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 |
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