Entanglement of Purification in Holographic Systems
High Energy Physics - Theory
2019-09-19 v3 General Relativity and Quantum Cosmology
Abstract
The holographic entanglement of purification (EoP) in AdS 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.
Cite
@article{arxiv.1902.02243,
title = {Entanglement of Purification in Holographic Systems},
author = {Peng Liu and Yi Ling and Chao Niu and Jian-Pin Wu},
journal= {arXiv preprint arXiv:1902.02243},
year = {2019}
}
Comments
27 pages, 14 figures; minor revision, ref added; major revision, the version appeared on JHEP