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 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 behaviour. We discuss this behaviour in more detail.

19 pages, 11 figures, v2: published version

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• Brane Dynamics of Holographic BCFTs
• Zoo of holographic moving mirrors
• Defect extremal surfaces for entanglement negativity
• Action complexity in the presence of defects and boundaries
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• The Cosmological Switchback Effect II
• Action complexity of charged black holes with higher derivative interactions
• Upon the horizon's verge: Thermal particle creation between and approaching horizons
• There and Back Again: Quantum Radiation from Round-trip Flying Mirrors