Mixed State Entanglement For Holographic Systems With A Scalar Hair
High Energy Physics - Theory
2022-03-02 v1
Abstract
We study the mixed state entanglement of an asymptotic AdS black hole system with scalar hair. Through numerical calculations, we find that the holographic entanglement entropy (HEE) presents a non-monotonic behavior with the system parameter, depending on the size of the subregion. In addition, the mutual information (MI) also shows non-monotonic behavior in certain ranges of system parameters. However, the entanglement wedge minimum cross-section (EWCS), which is a mixed state entanglement measure, increases monotonically with the AdS radius; meanwhile, shows non-monotonic with the temperature. We also give analytical understandings of the phenomena above.
Keywords
Cite
@article{arxiv.2203.00556,
title = {Mixed State Entanglement For Holographic Systems With A Scalar Hair},
author = {Zheng-Chen Song and Zhe Yang and Chong-Ye Chen and Peng Liu},
journal= {arXiv preprint arXiv:2203.00556},
year = {2022}
}
Comments
18 pages, 9 figures