4.4 Article

Holographic subregion complexity in general Vaidya geometry

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP11(2019)039

关键词

AdS-CFT Correspondence; Gauge-gravity correspondence; Black Holes

资金

  1. Natural Science Foundation of China [11575195, 11805083, 11875053]
  2. 555 talent project of Jiangxi Province

向作者/读者索取更多资源

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.

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