Gabriel Ramos Mixed State Entanglement For Holographic Systems With A Scalar Hair Zheng-Chen Song, Zhe Yang, Chong-Ye Chen, Peng Liu Hide abstract | Show figures | Show BibTeX | Show discussion | View PDF | 2203.00556v1 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. Authors' comments: 18 pages, 9 figures