Related papers: Detection of long-range entanglement in gapped quantum spin liquids by local measurements

Detection of long-range entanglement in gapped quantum spin liquids by local measurements

URL: http://arxiv.org/abs/2206.07237v1
Date: Wed, 15 Jun 2022 01:49:57 GMT
Title: Detection of long-range entanglement in gapped quantum spin liquids by local measurements
Authors: Shi Feng, Yanjun He and Nandini Trivedi
Abstract summary: We show that for gapped quantum spin liquids it is possible to extract $gamma$ using two-spin local correlators. We demonstrate our method for the gapped $mathbbZ$ Kitaev spin liquid on a honeycomb lattice with anisotropic interactions.
Score: 11.475805963049808
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Topological order, reflected in long range patterns of entanglement, is quantified by the topological entanglement entropy (TEE) $\gamma$. We show that for gapped quantum spin liquids (QSL) it is possible to extract $\gamma$ using two-spin local correlators. We demonstrate our method for the gapped $\mathbb{Z}_2$ Kitaev spin liquid on a honeycomb lattice with anisotropic interactions. We show that the $\gamma = \log 2$ for $\mathbb{Z}_2$ topological order can be simply extracted from local two-spin correlators across two different bonds, with an accuracy comparable or higher than the Kitaev-Preskill construction. This implies that the different superselection sectors of $\mathbb{Z}_2$ gauge theory determined by global Wilson loop operators can be fully reflected locally in the matter majorana sector.

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