“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 17112
School of Particles and Accelerator
  Title:   Holographic study of reflected entropy in anisotropic theories
1.  Mohammad Javad Vasli
2.  Mohammad Reza Mohammadi Mozaffar
3.  Komeil Babaei Velni
4.  Mohammad Sahraei
  Status:   Published
  Journal: Phys. Rev. D
  No.:  026012
  Vol.:  107
  Year:  2023
  Supported by:  IPM
We evaluate reflected entropy in certain anisotropic boundary theories dual to nonrelativistic geometries using holography. It is proposed that this quantity is proportional to the minimal area of the entanglement wedge cross section. Using this prescription, we study in detail the effect of anisotropy on reflected entropy and other holographic entanglement measures. In particular, we study the discontinuous phase transition of this quantity for a symmetric configuration consisting of two disjoint strips. We find that in the specific regimes of the parameter space the critical separation is an increasing function of the anisotropy parameter and hence the correlation between the subregions becomes more pronounced. We carefully examine how these results are consistent with the behavior of other correlation measures including the mutual information. Finally, we show that the structure of the universal terms of entanglement entropy is corrected depending on the orientation of the entangling region with respect to the anisotropic direction.

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