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Quantum Simulation

Local integrals of motion detection of localization-protected topological order

arXiv
Authors: Thorsten B. Wahl, Florian Venn, Benjamin Béri

Year

2021

Paper ID

41377

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2021 reference point for readers tracking recent quantum research.
  • Many-body-localized (MBL) phases can be topologically distinct, but distinguishing these phases using order parameters can be challenging.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2111.11543 [2] arXiv https://arxiv.org/abs/2111.11543 [3] Publisher https://arxiv.org/abs/2111.11543

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