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Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 23 March 2023
  • Volume 2023, article number 175, (2023)
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Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement
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  • Raúl Arias1,2,
  • Giuseppe Di Giulio  ORCID: orcid.org/0000-0003-4350-87553,
  • Esko Keski-Vakkuri4,5 &
  • …
  • Erik Tonni6 

  • 211 Accesses

  • 4 Citations

  • 1 Altmetric

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A preprint version of the article is available at arXiv.

Abstract

We compare the capacity of entanglement with the entanglement entropy by considering various aspects of these quantities for free bosonic and fermionic models in one spatial dimension, both in the continuum and on the lattice. Substantial differences are observed in the subleading terms of these entanglement quantifiers when the subsystem is made by two disjoint intervals, in the massive scalar field and in the fermionic chain. We define c-functions based on the capacity of entanglement similar to the one based on the entanglement entropy, showing through a numerical analysis that they display a monotonic behaviour under the renormalisation group flow generated by the mass. The capacity of entanglement and its related quantities are employed to explore the symmetry resolution. The temporal evolutions of the capacity of entanglement and of the corresponding contour function after a global quench are also discussed.

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Authors and Affiliations

  1. Instituto de Física de La Plata, CONICET, Diagonal 113 e/63 y 64, CC67, 1900, La Plata, Argentina

    Raúl Arias

  2. Departamento de Física, Universidad Nacional de La Plata, Calle 49 y 115 s/n, CC67, 1900, La Plata, Argentina

    Raúl Arias

  3. Institute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074, Würzburg, Germany

    Giuseppe Di Giulio

  4. Department of Physics, University of Helsinki, PO Box 64, FIN-00014, Helsinki, Finland

    Esko Keski-Vakkuri

  5. Helsinki Institute of Physics, University of Helsinki, PO Box 64, FIN-00014, Helsinki, Finland

    Esko Keski-Vakkuri

  6. International School for Advanced Studies (SISSA) and INFN Sezione di Trieste, via Bonomea 265, 34136, Trieste, Italy

    Erik Tonni

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  1. Raúl Arias
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  2. Giuseppe Di Giulio
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  3. Esko Keski-Vakkuri
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  4. Erik Tonni
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Correspondence to Giuseppe Di Giulio.

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ArXiv ePrint: 2301.02117

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Arias, R., Di Giulio, G., Keski-Vakkuri, E. et al. Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement. J. High Energ. Phys. 2023, 175 (2023). https://doi.org/10.1007/JHEP03(2023)175

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  • Received: 03 February 2023

  • Accepted: 07 March 2023

  • Published: 23 March 2023

  • DOI: https://doi.org/10.1007/JHEP03(2023)175

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Keywords

  • Field Theories in Lower Dimensions
  • Lattice Quantum Field Theory
  • Non-Equilibrium Field Theory
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