Journal of Shanghai University(Natural Science Edition) ›› 2022, Vol. 28 ›› Issue (6): 1069-1083.doi: 10.12066/j.issn.1007-2861.2314

• Research Articles • Previous Articles    

Relationship between late-time quantum complexity growth rate and free energy in AdS black holes

SUN Wei, GE Xianhui()   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2021-04-08 Online:2022-12-30 Published:2023-01-31
  • Contact: GE Xianhui E-mail:ge_xh@hotmail.com

Abstract:

The relationship between quantum complexity and free energy relation builds a bridge between the complexity action duality and complexity volume duality. The main purpose of this study is to investigate the universality of the quantum complexity and free energy relation by verifying in Bardeen-AdS black holes without singularities, charged black holes in $f(R)$ modified gravity, and Born-Infeld AdS black holes. The possibility of using quantum complexity as a probe in analysing phase transitions is evaluated. Finally, whether the late-time quantum complexity rates violated the Lloyd bound is verified.

Key words: quantum complexity, black hole thermodynamics, AdS black holes

CLC Number: