Entanglement entropy in the Ising model with topological defects

• URL: http://arxiv.org/abs/2111.04534v3
• Date: Fri, 3 Jun 2022 15:57:38 GMT
• Title: Entanglement entropy in the Ising model with topological defects
• Authors: Ananda Roy and Hubert Saleur
• Abstract summary: Entanglement entropy(EE) contains signatures of many universal properties of conformal field theories. We present an ab-initio analysis of EE for the Ising model in the presence of a topological defect.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement entropy~(EE) contains signatures of many universal properties of conformal field theories~(CFTs), especially in the presence of boundaries or defects. In particular, {\it topological} defects are interesting since they reflect internal symmetries of the CFT, and have been extensively analyzed with field-theoretic techniques with striking predictions. So far, however, very few ab-initio, lattice computations of these predictions have been available. Here, we present an ab-initio analysis of EE for the Ising model in the presence of a topological defect. While the behavior of the EE depends, as expected, on the geometric arrangement of the subsystem with respect to the defect, we find that zero-energy modes give rise to crucial finite-size corrections. Importantly, contrary to the field-theory predictions, the universal subleading term in the EE when the defect lies at the edge of the subsystem arises entirely due to these zero-energy modes and is not directly related to the modular S-matrix of the Ising CFT.

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