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.
Highlights
B numerical lattice calculations have been developed for QFTs [4, 5]
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
Summary
We review the holographic information measures for AdS black brane geometries. We consider a symmetric configuration consisting of two disjoint strips with equal width separated by h Note that these measures are nontrivial only for connected configurations, i.e., SA∪B = S(2 + h) + S(h), and vanish for disconnected ones, i.e., SA∪B = 2S( ), when ΣA∪B becomes empty. We will assume that the connected configuration is favored In this case due to a reflection symmetry about x = 0, ΣA∪B runs along the radial direction and connects the corresponding turning points of Γh and Γ2 +h. Note that, keeping fixed while h increases, the EWCS has a discontinuous phase transition such that ΣA∪B becomes empty when the two regions are distant enough [7] This behavior is due to the competition between two different configurations for the entanglement wedge. We will consider thermal and charged excitations separately for which the leading order corrections can be obtained explicitly
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