Toy model of boundary states with spurious topological entanglement entropy
| Autor: | Fernando G. S. L. Brandão, Kohtaro Kato |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Quantum Physics Toy model Strongly Correlated Electrons (cond-mat.str-el) Boundary state FOS: Physical sciences Quantum entanglement Topology 01 natural sciences 010305 fluids & plasmas Condensed Matter - Strongly Correlated Electrons 0103 physical sciences 010306 general physics Spurious relationship Quantum Physics (quant-ph) Entropy (arrow of time) |
| Popis: | Topological entanglement entropy has been extensively used as an indicator of topologically ordered phases. We study the conditions needed for two-dimensional topologically trivial states to exhibit spurious contributions that contaminates topological entanglement entropy. We show that if the state at the boundary of a subregion is a stabilizer state, then it has a non-zero spurious contribution to the region if and only if, the state is in a non-trivial one-dimensional $G_1\times G_2$ symmetry-protected-topological (SPT) phase. However, we provide a candidate of a boundary state that has a non-zero spurious contribution but does not belong to any such SPT phase. 5+7 pages, 4 figures v2:published in PRResearch: Rapid Communication. Title is modified. Minor errors are fixed |
| Databáze: | OpenAIRE |
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