Entanglement of Purification in Holographic Systems

Understand

The holographic entanglement of purification (EoP) in AdS$_{4}$ and AdS-RN black hole backgrounds is studied.

• We develop an algorithm to compute the EoP for bipartite configuration with infinitely long strips.
• The temperature behavior of EoP is revealed for small, intermediate and large configurations: EoP monotonically increases with the temperature for small configurations; while for intermediate configurations, EoP is configuration-dependent; EoP vanishes for large configurations.
• Our numerical results verify some important inequalities of EoP, which we also prove geometrically in Poincar\'e coordinate.