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Journal of High Energy Physics

, 2019:39 | Cite as

Holographic subregion complexity in general Vaidya geometry

  • Yi Ling
  • Yuxuan LiuEmail author
  • Chao Niu
  • Yikang Xiao
  • Cheng-Yong Zhang
Open Access
Regular Article - Theoretical Physics
  • 8 Downloads

Abstract

We investigate general features of the evolution of holographic subregion complexity (HSC) on Vaidya-AdS metric with a general form. The spacetime is dual to a sudden quench process in quantum system and HSC is a measure of the “difference” between two mixed states. Based on the subregion CV (Complexity equals Volume) conjecture and in the large size limit, we extract out three distinct stages during the evolution of HSC: the stage of linear growth at the early time, the stage of linear growth with a slightly small rate during the intermediate time and the stage of linear decrease at the late time. The growth rates of the first two stages are compared with the Lloyd bound. We find that with some choices of certain parameter, the Lloyd bound is always saturated at the early time, while at the intermediate stage, the growth rate is always less than the Lloyd bound. Moreover, the fact that the behavior of CV conjecture and its version of the subregion in Vaidya spacetime implies that they are different even in the large size limit.

Keywords

AdS-CFT Correspondence Gauge-gravity correspondence Black Holes 

Notes

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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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Yi Ling
    • 1
    • 2
  • Yuxuan Liu
    • 1
    • 2
    Email author
  • Chao Niu
    • 3
  • Yikang Xiao
    • 1
    • 2
  • Cheng-Yong Zhang
    • 3
  1. 1.Institute of High Energy PhysicsChinese Academy of SciencesBeijingChina
  2. 2.School of PhysicsUniversity of Chinese Academy of SciencesBeijingChina
  3. 3.Department of Physics and Siyuan LaboratoryJinan UniversityGuangzhouChina

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