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arXiv · 2203.00556

Mixed State Entanglement For Holographic Systems With A Scalar Hair

Zheng-Chen Song·Zhe Yang·Chong-Ye Chen·Peng Liu
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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.

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Zheng-Chen Song, Zhe Yang, Chong-Ye Chen, Peng Liu. 2022-03-01. Mixed State Entanglement For Holographic Systems With A Scalar Hair. https://arxiv.org/abs/2203.00556

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