Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors

TL;DR

This paper studies the time evolution of reflected entropy and entanglement negativity in the radiation flux of moving mirrors using holographic duality, demonstrating agreement between field theory and gravity calculations and deriving Page curve analogues.

Contribution

It introduces a holographic approach to compute reflected entropy and negativity for moving mirror setups, connecting these measures with black hole radiation models.

Findings

Exact agreement between BCFT replica calculations and holographic dual results.

Derived Page curve analogues for reflected entropy and negativity in mirror radiation.

Demonstrated the applicability of holographic duality to dynamic mixed state entanglement measures.

Abstract

We investigate the time evolution of reflected entropy and entanglement negativity for mixed state configurations involving two adjacent and disjoint intervals in the radiation flux of moving mirrors by utilizing the $AdS/BCFT$ duality. These measures are computed for the required mixed state configurations by using the respective replica techniques in the large central charge limit of the $BCFT_{1+1}$. We demonstrate that the results obtained exactly agree with the corresponding holographic computations in the dual bulk $AdS_3$ geometry with an end of the world brane. In this context, the analogues of the Page curves for these measures are obtained for the required configurations in the radiation flux of kink and escaping mirrors which mimic the Hawking radiation from evaporating and eternal black holes respectively.