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Title: Dynamics of entanglement in expanding quantum fields

Here, we develop a novel real-time 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 space-like 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 space-time 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] ;  [1] ;  [2]
  1. Univ. Heidelberg, Heidelberg (Germany)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Report Number(s):
BNL-207867-2018-JAAM
Journal ID: ISSN 1029-8479
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 1029-8479
Publisher:
Springer Berlin
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Conformal Field Theory; Field Theories in Lower Dimensions; Quark-Gluon 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 real-time 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 space-like 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 space-time 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}
}