Physical proof of the topological entanglement entropy inequality

It is generally believed that two-dimensional gapped phases of matter with anyon excitations have a special pattern of entanglement in their ground-state wave function. Recently, this intuition was formalized by a universal inequality relating the topological entanglement entropy of a gapped ground state to the total quantum dimension of its anyon excitations. This paper presents an alternative, more direct proof of this inequality.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2024-10-22
DOI
https://doi.org/10.1103/physrevb.110.165154
Citations
4
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
1.35

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article

Physical proof of the topological entanglement entropy inequality

Michael Levin
4 citations
Physical review. B./Physical review. B
Quantum many-body systems
1.35
article

Physical proof of the topological entanglement entropy inequality

Michael Levin
article en
4 citations

Abstract

It is generally believed that two-dimensional gapped phases of matter with anyon excitations have a special pattern of entanglement in their ground-state wave function. Recently, this intuition was formalized by a universal inequality relating the topological entanglement entropy of a gapped ground state to the total quantum dimension of its anyon excitations. This paper presents an alternative, more direct proof of this inequality.

Physical review. B./Physical review. BVol. 110(16)
University of Chicago (US)
Simons Foundation, University of Chicago
Reduced inequalities
Openalex Percentile: Top 19%
Quantum many-body systems
1.35
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