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Entanglement Spheres and a UV-IR Connection in Effective Field Theories

Klco, Natalie and Savage, Martin J. (2021) Entanglement Spheres and a UV-IR Connection in Effective Field Theories. Physical Review Letters, 127 (21). Art. No. 211602. ISSN 0031-9007. doi:10.1103/PhysRevLett.127.211602.

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We show that long-distance quantum correlations probe short-distance physics. Two disjoint regions of the latticized, massless scalar field vacuum are numerically demonstrated to become separable at distances beyond the negativity sphere, which extends to infinity in the continuum limit. The size of this quantum coherent volume is determined by the highest momentum mode supported in the identical regions, each of diameter d. More generally, effective field theories (EFTs), describing a system up to a given momentum scale Λ, are expected to share this feature—entanglement between regions of the vacuum depends upon the UV completion beyond a separation proportional to Λ. Through calculations extended to three dimensions, the magnitude of the negativity at which entanglement becomes sensitive to UV physics in an EFT (lattice or otherwise) is conjectured to scale as ∼e^(−Λd), independent of the number of spatial dimensions. It is concluded that two-region vacuum entanglement at increasing separations depends upon the structure of the theory at increasing momentum scales. This phenomenon may be manifest in perturbative QCD processes.

Item Type:Article
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URLURL TypeDescription Paper
Klco, Natalie0000-0003-2534-876X
Savage, Martin J.0000-0001-6502-7106
Additional Information:© 2021 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 27 April 2021; accepted 27 September 2021; published 16 November 2021. We would like to thank Silas Beane, Douglas Beck, Roland Farrell, David Kaplan, Aidan Murran, John Preskill, and Alessandro Roggero for valuable discussions. We have made extensive use of Wolfram Mathematica [78] and the advanpix multiprecision computing toolbox [79] for matlab [80]. Numerical results are available upon request. N. K. is supported in part by the Walter Burke Institute for Theoretical Physics, and by the U.S. Department of Energy Office of Science, Office of Advanced Scientific Computing Research (Award No. DE-SC0020290) and Office of High Energy Physics DE-ACO2-07CH11359. M. J. S. was supported in part by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, InQubator for Quantum Simulation (IQuS) under Award No. DOE (NP) Award No. DE-SC0020970.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
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Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-SC0020290
Department of Energy (DOE)DE-AC-02-07CH11359
Department of Energy (DOE)DE-SC0020970
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Issue or Number:21
Record Number:CaltechAUTHORS:20210408-123011098
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108660
Deposited By: Tony Diaz
Deposited On:09 Apr 2021 18:04
Last Modified:18 Nov 2021 22:20

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