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 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. As a result, at subleading order in the region size, we observe an anomalous logarithmic growth of entanglement coming from the zero mode of the scalar.
 Authors:

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^{[4]}
 Stanford Univ., Stanford, CA (United States)
 Tufts Univ., Medford, MA (United States)
 Princeton Univ., Princeton, NJ (United States)
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Publication Date:
 Grant/Contract Number:
 SC0016244
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Princeton Univ., Princeton, NJ (United States). Princeton Center for Theoretical Science
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; conformal field theory; field theories in higher dimensions; integrable field theories
 OSTI Identifier:
 1357775
Cotler, Jordan S., Hertzberg, Mark P., Mezei, Márk, and Mueller, Mark T.. Entanglement growth after a global quench in free scalar field theory. United States: N. p.,
Web. doi:10.1007/JHEP11(2016)166.
Cotler, Jordan S., Hertzberg, Mark P., Mezei, Márk, & Mueller, Mark T.. Entanglement growth after a global quench in free scalar field theory. United States. doi:10.1007/JHEP11(2016)166.
Cotler, Jordan S., Hertzberg, Mark P., Mezei, Márk, and Mueller, Mark T.. 2016.
"Entanglement growth after a global quench in free scalar field theory". United States.
doi:10.1007/JHEP11(2016)166. https://www.osti.gov/servlets/purl/1357775.
@article{osti_1357775,
title = {Entanglement growth after a global quench in free scalar field theory},
author = {Cotler, Jordan S. and Hertzberg, Mark P. and Mezei, Márk and Mueller, Mark T.},
abstractNote = {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. As a result, at subleading order in the region size, we observe an anomalous logarithmic growth of entanglement coming from the zero mode of the scalar.},
doi = {10.1007/JHEP11(2016)166},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2016,
place = {United States},
year = {2016},
month = {11}
}