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Title: Entanglement growth after a global quench in free scalar field theory

Abstract

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:
 [1];  [2];  [3];  [4]
  1. Stanford Univ., Stanford, CA (United States)
  2. Tufts Univ., Medford, MA (United States)
  3. Princeton Univ., Princeton, NJ (United States)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Princeton Univ., Princeton, NJ (United States). Princeton Center for Theoretical Science
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1357775
Grant/Contract Number:  
SC0016244
Resource 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 1029-8479
Publisher:
Springer Berlin
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

Citation Formats

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., 2016. 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. https://doi.org/10.1007/JHEP11(2016)166
Cotler, Jordan S., Hertzberg, Mark P., Mezei, Márk, and Mueller, Mark T. Mon . "Entanglement growth after a global quench in free scalar field theory". United States. https://doi.org/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 = {Mon Nov 28 00:00:00 EST 2016},
month = {Mon Nov 28 00:00:00 EST 2016}
}

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  • Mozaffar, M. Reza Mohammadi; Mollabashi, Ali
  • Journal of High Energy Physics, Vol. 2019, Issue 1
  • DOI: 10.1007/jhep01(2019)137

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  • Castro-Alvaredo, Olalla A.; Lencsés, Máté; Szécsényi, István M.
  • Journal of High Energy Physics, Vol. 2019, Issue 12
  • DOI: 10.1007/jhep12(2019)079

Entanglement and thermodynamics after a quantum quench in integrable systems
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Exact solution for the quench dynamics of a nested integrable system
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Rényi entropies after releasing the Néel state in the XXZ spin-chain
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Entanglement and diagonal entropies after a quench with no pair structure
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