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Mixed State Entanglement For Holographic Systems With A Scalar Hair

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.

preprint2022arXivOpen access
Zheng-Chen SongZhe YangChong-Ye ChenPeng Liu
hep-th
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Open access4 authors1 topic
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Zheng-Chen SongZhe YangChong-Ye ChenPeng Liu

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