Holographic complexity under a global quantum quench

TL;DR

This paper studies how different holographic complexity proposals evolve after a global quantum quench, revealing both common features like the switchback effect and unique characteristics that can distinguish among the proposals.

Contribution

It compares multiple holographic complexity proposals during a quantum quench, highlighting their shared properties and unique dynamical features.

Findings

All proposals reproduce the switchback effect.

Each proposal exhibits distinct dynamical features.

These features can differentiate holographic complexity models.

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.