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.

To appear in NPB, published version; 41+15 pages

References in corpus (9)

• Complexity and Shock Wave Geometries
• Quantum Computation as Geometry
• Gravitational action with null boundaries
• Circuit complexity in interacting QFTs and RG flows
• A geometric approach to quantum circuit lower bounds
• Action growth rate for a higher curvature gravitational theory
• Fast quantum computation at arbitrarily low energy
• Exact Black Hole Formation in Asymptotically (A)dS and Flat Spacetimes
• Exact black hole formation in three dimensions

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