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Paper IPM / P / 15583  


Abstract:  
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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