Dynamics of entanglement in expanding quantum fields
Here, we develop a novel realtime approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on spacelike Cauchy hypersurfaces. The framework is applied to explore an expanding light cone geometry in the particular case of the Schwinger model for quantum electrodynamics in 1+1 spacetime dimensions. We observe that the entanglement entropy becomes extensive in rapidity at early times and that the corresponding local reduced density matrix is a thermal density matrix for excitations around a coherent field with a time dependent temperature. Since the Schwinger model successfully describes many features of multiparticle production in e ^{+}e ^{} collisions, our results provide an attractive explanation in this framework for the apparent thermal nature of multiparticle production even in the absence of significant final state scattering.
 Authors:

^{[1]};
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^{[2]}
 Univ. Heidelberg, Heidelberg (Germany)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Publication Date:
 Report Number(s):
 BNL2078672018JAAM
Journal ID: ISSN 10298479
 Grant/Contract Number:
 SC0012704
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 4; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Conformal Field Theory; Field Theories in Lower Dimensions; QuarkGluon Plasma
 OSTI Identifier:
 1462428
Berges, Jurgen, Floerchinger, Stefan, and Venugopalan, Raju. Dynamics of entanglement in expanding quantum fields. United States: N. p.,
Web. doi:10.1007/JHEP04(2018)145.
Berges, Jurgen, Floerchinger, Stefan, & Venugopalan, Raju. Dynamics of entanglement in expanding quantum fields. United States. doi:10.1007/JHEP04(2018)145.
Berges, Jurgen, Floerchinger, Stefan, and Venugopalan, Raju. 2018.
"Dynamics of entanglement in expanding quantum fields". United States.
doi:10.1007/JHEP04(2018)145. https://www.osti.gov/servlets/purl/1462428.
@article{osti_1462428,
title = {Dynamics of entanglement in expanding quantum fields},
author = {Berges, Jurgen and Floerchinger, Stefan and Venugopalan, Raju},
abstractNote = {Here, we develop a novel realtime approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on spacelike Cauchy hypersurfaces. The framework is applied to explore an expanding light cone geometry in the particular case of the Schwinger model for quantum electrodynamics in 1+1 spacetime dimensions. We observe that the entanglement entropy becomes extensive in rapidity at early times and that the corresponding local reduced density matrix is a thermal density matrix for excitations around a coherent field with a time dependent temperature. Since the Schwinger model successfully describes many features of multiparticle production in e+e collisions, our results provide an attractive explanation in this framework for the apparent thermal nature of multiparticle production even in the absence of significant final state scattering.},
doi = {10.1007/JHEP04(2018)145},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2018,
place = {United States},
year = {2018},
month = {4}
}