Local integrals of motion detection of localization-protected topological order

• URL: http://arxiv.org/abs/2111.11543v3
• Date: Wed, 4 May 2022 13:05:06 GMT
• Title: Local integrals of motion detection of localization-protected topological order
• Authors: Thorsten B. Wahl, Florian Venn, Benjamin B\'eri
• Abstract summary: We show how topologically distinct local integrals of motion, variationally parametrized by quantum circuits, can be used to numerically demonstrate the topological inequivalence of MBL phases. We also use our approach, augmented by the DMRG-X algorithm, to extract high-energy topological doublets.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Many-body-localized (MBL) phases can be topologically distinct, but distinguishing these phases using order parameters can be challenging. Here we show how topologically distinct local integrals of motion, variationally parametrized by quantum circuits, can be used to numerically demonstrate the topological inequivalence of MBL phases. We illustrate our approach on a fermionic chain where both topologically distinct MBL phases and benchmark comparisons to order parameters are possible. We also use our approach, augmented by the DMRG-X algorithm, to extract high-energy topological doublets. We describe applying our methods to higher dimensions to identify MBL topological order and topological multiplets hidden by the dense many-body spectrum.

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