Entanglement of Purification in Many Body Systems and Symmetry Breaking.

Entanglement of Purification in Many Body Systems and Symmetry Breaking.

Bhattacharyya, Arpan;Jahn, Alexander;Takayanagi, Tadashi;Umemoto, Koji;
physical review letters 2019 Vol. 122 pp. 201601
176
bhattacharyya2019entanglementphysical

Abstract

We study the entanglement of purification (EOP), a measure of total correlation between two subsystems A and B, for free scalar field theory on a lattice and the transverse-field Ising model by numerical methods. In both of these models, we find that the EOP becomes a nonmonotonic function of the distance between A and B when the total number of lattice sites is small. When it is large, the EOP becomes monotonic and shows a plateaulike behavior. Moreover, we also show that the original reflection symmetry which exchanges A and B can get broken in optimally purified systems. We provide an interpretation of our results in terms of the interplay between classical and quantum correlations.

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97136
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10.1103/PhysRevLett.122.201601
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