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Free keywords:
High Energy Physics - Theory, hep-th, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech, Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el,Quantum Physics, quant-ph
Abstract:
Quantifying entanglement properties of mixed states in quantum field theory
via entanglement of purification is a new and challenging subject. In this
work, we study entanglement of purification for two intervals far away from
each other in the vacuum of a conformal field theory on a lattice. Our main
finding is that the decay of the entanglement of purification is enhanced with
respect to the one for the mutual information by a logarithm of the distance
between the intervals. We explicitly derive this behaviour in the critical
Ising spin chain as well as for free fermions. Furthermore, we corroborate it
with a general argument valid for any conformal field theory with a gapped
spectrum of operators arising as a continuum description of a lattice model.
