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Paper   IPM / Physic / 15583
School of Physics
  Title:   Holographic Aspects of Entanglement of Purifi000Ccation
1.  K. Babaei Velni
2.  M.R. Mohammadi Mozaffar
3.  M.H. Vahidinia
  Status:   Preprint
  Year:  2019
  Supported by:  IPM
We consider entanglement of purifi000Ccation (EoP) in holographic QFTs, which admit a dual Einstein gravity description. It is proposed that this quantity is equal to the minimal area of the entanglement wedge cross section. Using this prescription, we show that EoP is a monotonically decreasing function of temperature such that in high temperature limit, it vanishes. We examine in detail the low and high temperature corrections to this quantity and show that it obeys the area law even in 000Cnite temperature. We study EoP in nonrelativistic 000Cfield theories with nontrivial Lifshitz and hyperscaling violating exponents, and 000Cnd that the quantum correlations between subregions increase as one increases z and 0012. We also evaluate EoP for an entangling region with singular boundary in a three dimensional 000Cfield theory and 000Cnd a universal contribution where the coefficient is proportional to the central charge. Finally we verify that for higher dimensional singular regions the corresponding EoP obeys the area law.

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