Complexity in a moving mirror model

Abstract

In a two-dimensional conformal field theory with a moving mirror, known as a moving mirror model, the time evolution of the entanglement entropy shows a Page-like curve. This implies that the moving mirror model is useful to understand the island formula. In this paper, we study the time evolution of the subregion $\mathrm{complexity}\text{ }=\text{ }\mathrm{volume}$ (CV) complexity in the moving mirror model for a better understanding of the island formula of the complexity. In contrast to the entanglement entropy, the subregion CV complexity shows a peculiar behavior. We discuss this behavior in more detail.

Topics & Concepts