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Paper   IPM / Physic / 16631
School of Physics
  Title:   Holographic Study of Entanglement of Purification for Excited States
  Author(s): 
1.  M. Sahraei
2.  M.J. Vasli
3.  M.R. Mohammadi Mozaffar
4.  K. Babaei Velni
  Status:   Published
  Journal:
  Year:  2021
  Supported by:  IPM
  Abstract:
We evaluate the entanglement of purification (EoP), which measures correlations between two subsystems, for excited states dual to asymptotically AdS spacetimes using holography. In this framework EoP is given by the minimal cross sectional area of an entanglement wedge. We carry out a perturbative analysis for calculating EoP 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 EoP is negative and the correlation between the subregions decreases. We also study other types of excitations upon adding the extra matter fields including current and scalar condensate. For the latter class of excitations, we find that the variation of EoP is negative, when the dimension of the scalar operator respects the unitarity bound. Finally, we discuss how these results are consistent with the behavior of other correlation measures including the holographic mutual information.

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