Holographic complexity under a global quantum quench

Abstract

There are several different proposals, relating holographic complexity to the gravitational objects defined on the Wheeler-DeWitt patch. In this paper, we investigate the evolution of complexity following a global quantum quench for these proposals. We find that surprisingly they all reproduce known properties of complexity, such as the switchback effect. However, each of these proposals also has its own characteristic features during the dynamical evolution, which may serve as a powerful tool to distinguish the various holographic duals of complexity.

arXiv commentTo appear in NPB, published version; 41+15 pages

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Cited by in corpus (5)

• Complexity of Holographic Superconductors
• WdW-patches in AdS${}_3$ and complexity change under conformal transformations II
• Circuit Complexity for Fermionic Thermofield Double states
• Holographic entanglement entropy and complexity in St$\ddot{u}$ckelberg superconductor
• Holographic complexity of local quench at finite temperature