Entanglement Wedge Cross Section in Holographic Excited States

• URL: http://arxiv.org/abs/2105.12476v3
• Date: Fri, 10 Sep 2021 07:49:02 GMT
• Title: Entanglement Wedge Cross Section in Holographic Excited States
• Authors: Mohammad Sahraei, Mohammad Javad Vasli, M. Reza Mohammadi Mozaffar, Komeil Babaei Velni
• Abstract summary: We evaluate the entanglement wedge cross section (EWCS) in AdS geometries which are dual to boundary excited states. Our study reveals some generic properties of boundary information measures dual to EWCS.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We evaluate the entanglement wedge cross section (EWCS) in asymptotically AdS geometries which are dual to boundary excited states. We carry out a perturbative analysis for calculating EWCS between the vacuum and other states for a symmetric configuration consisting of two disjoint strips and obtain analytical results in the specific regimes of the parameter space. In particular, when the states described by purely gravitational excitations in the bulk we find that the leading correction to EWCS is negative and hence the correlation between the boundary subregions decreases. We also study other types of excitations upon adding the extra matter fields including current and scalar condensate. Our study reveals some generic properties of boundary information measures dual to EWCS, e.g., entanglement of purification, logarithmic negativity and reflected entropy. Finally, we discuss how these results are consistent with the behavior of other correlation measures including the holographic mutual information.

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