Long Distance Entanglement of Purification and Reflected Entropy in Conformal 
Field Theory

Camargo, Hugo A.; Hackl, Lucas; Heller, Michal P.; Jahn, Alexander; Windt, Bennet

doi:10.1103/PhysRevLett.127.141604

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Long Distance Entanglement of Purification and Reflected Entropy in Conformal Field Theory

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Heller, Michal P.
Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Camargo, H. A., Hackl, L., Heller, M. P., Jahn, A., & Windt, B. (2021). Long Distance Entanglement of Purification and Reflected Entropy in Conformal Field Theory. Physical Review Letters, 127(14): 141604. doi:10.1103/PhysRevLett.127.141604.

Cite as: https://hdl.handle.net/21.11116/0000-0008-0E32-1

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.