Holographic local quench and effective complexity

• Main Authors: Dmitry Ageev, Irina Aref’eva, Andrey Bagrov, Mikhail I. Katsnelson
• Format: Article
• Language: English
• Published: SpringerOpen 2018-08-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT)
• Online Access: http://link.springer.com/article/10.1007/JHEP08(2018)071
• ISSN: 1029-8479

Abstract We study the evolution of holographic complexity of pure and mixed states in 1 + 1-dimensional conformal field theory following a local quench using both the “complexity equals volume” (CV) and the “complexity equals action” (CA) conjectures. We compare the complexity evolution to the evolution of entanglement entropy and entanglement density, discuss the Lloyd computational bound and demonstrate its saturation in certain regimes. We argue that the conjectured holographic complexities exhibit some non-trivial features indicating that they capture important properties of what is expected to be effective (or physical) complexity.