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Time evolution of entanglement entropy in quenched holographic superconductors

  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 14 April 2015
  • volume 2015, Article number: 66 (2015)
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Time evolution of entanglement entropy in quenched holographic superconductors
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  • Xiaojian Bai1,
  • Bum-Hoon Lee2,3,
  • Li Li4,
  • Jia-Rui Sun5 &
  • …
  • Hai-Qing Zhang6 

  • 640 Accesses

  • 26 Citations

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A preprint version of the article is available at arXiv.

Abstract

We investigate the dynamical evolution of entanglement entropy in a holographic superconductor model by quenching the source term of the dual charged scalar operator. By access to the full background geometry, the holographic entanglement entropy is calculated for a strip geometry at the AdS boundary. It is found that the entanglement entropy exhibits a robust non-monotonic behaviour in time, independent of the strength of Gaussian quench and the size of the strip: it first displays a small dip, then grows linearly, and finally saturates. In particular, the linear growth velocity of the entanglement entropy has an upper bound for strip with large width; the equilibrium value of the non-local probe at late time shows a power law scaling behaviour with respect to the quench strength; moreover, the entanglement entropy can uncover the dynamical transition at certain critical quench strength which happens to coincide with the one obtained form the dynamical evolution of scalar order parameter.

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Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. School of Physics, Georgia Institute of Technology, Atlanta, GA, 30332, United States

    Xiaojian Bai

  2. Center for Quantum Spacetime, Sogang University, Seoul, 121-742, South Korea

    Bum-Hoon Lee

  3. Department of Physics, Sogang University, Seoul, 121-742, South Korea

    Bum-Hoon Lee

  4. Crete Center for Theoretical Physics, Department of Physics, University of Crete, 71003, Heraklion, Greece

    Li Li

  5. Department of Physics and Institute of Modern Physics, East China University of Science and Technology, Shanghai, 200237, China

    Jia-Rui Sun

  6. Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE, Utrecht, The Netherlands

    Hai-Qing Zhang

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Correspondence to Hai-Qing Zhang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Cite this article

Bai, X., Lee, BH., Li, L. et al. Time evolution of entanglement entropy in quenched holographic superconductors. J. High Energ. Phys. 2015, 66 (2015). https://doi.org/10.1007/JHEP04(2015)066

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  • Received: 22 January 2015

  • Accepted: 16 March 2015

  • Published: 14 April 2015

  • DOI: https://doi.org/10.1007/JHEP04(2015)066

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Keywords

  • AdS-CFT Correspondence
  • Holography and condensed matter physics (AdS/CMT)
  • Black Holes
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