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Title: Thermal excitation spectrum from entanglement in an expanding quantum string

Abstract

Here, a surprising result in e+e- collisions is that the particle spectra from the string formed between the expanding quark-antiquark pair have thermal properties even though scatterings appear not to be frequent enough to explain this. We address this problem by considering the finite observable interval of a relativistic quantum string in terms of its reduced density operator by tracing over the complement region. We show how quantum entanglement in the presence of a horizon in spacetime for the causal transfer of information leads locally to a reduced mixed-state density operator. For very early proper time τ, we show that the entanglement entropy becomes extensive and scales with the rapidity. At these early times, the reduced density operator is of thermal form, with an entanglement temperature Tτ = h(2πkBτ), even in the absence of any scatterings.

Authors:
 [1];  [1];  [2]
  1. Univ. Heidelberg, Heidelberg (Germany)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1439301
Report Number(s):
BNL-205706-2018-JAAM
Journal ID: ISSN 0370-2693; TRN: US1900598
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Volume: 778; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Thermal; Quantum string

Citation Formats

Berges, Jurgen, Floerchinger, Stefan, and Venugopalan, Raju. Thermal excitation spectrum from entanglement in an expanding quantum string. United States: N. p., 2018. Web. doi:10.1016/j.physletb.2018.01.068.
Berges, Jurgen, Floerchinger, Stefan, & Venugopalan, Raju. Thermal excitation spectrum from entanglement in an expanding quantum string. United States. doi:10.1016/j.physletb.2018.01.068.
Berges, Jurgen, Floerchinger, Stefan, and Venugopalan, Raju. Wed . "Thermal excitation spectrum from entanglement in an expanding quantum string". United States. doi:10.1016/j.physletb.2018.01.068. https://www.osti.gov/servlets/purl/1439301.
@article{osti_1439301,
title = {Thermal excitation spectrum from entanglement in an expanding quantum string},
author = {Berges, Jurgen and Floerchinger, Stefan and Venugopalan, Raju},
abstractNote = {Here, a surprising result in e+e- collisions is that the particle spectra from the string formed between the expanding quark-antiquark pair have thermal properties even though scatterings appear not to be frequent enough to explain this. We address this problem by considering the finite observable interval of a relativistic quantum string in terms of its reduced density operator by tracing over the complement region. We show how quantum entanglement in the presence of a horizon in spacetime for the causal transfer of information leads locally to a reduced mixed-state density operator. For very early proper time τ, we show that the entanglement entropy becomes extensive and scales with the rapidity. At these early times, the reduced density operator is of thermal form, with an entanglement temperature Tτ = h(2πkBτ), even in the absence of any scatterings.},
doi = {10.1016/j.physletb.2018.01.068},
journal = {Physics Letters B},
number = C,
volume = 778,
place = {United States},
year = {2018},
month = {1}
}

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Free Publicly Available Full Text
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Cited by: 8 works
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Figures / Tables:

Figure 1 Figure 1: Bjorken coordinates and causal development of a rapidity interval ( -∆η/2, ∆η/2) at fixed proper time τ . The dashed red line corresponds to region A while the complement region $B$ is composed of the rapidity intervals ( -$\infty$, -∆η/2) and (∆η/2, $\infty$ ) at fixed Bjorken timemore » τ. For ∆η $\rightarrow \infty$ the causal development region approaches the lightcone.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.