Almost strong (0,π) edge modes in clean interacting one-dimensional Floquet systems

Yates, Daniel J.; Essler, Fabian H.  L.; Mitra, Aditi

doi:10.1103/PhysRevB.99.205419

Title: Almost strong ( $0, π$ ) edge modes in clean interacting one-dimensional Floquet systems

Journal Article · 16 May 2019 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.99.205419 · OSTI ID:1595128

Yates, Daniel J. ^[1]; Essler, Fabian H. L. ^[2]; Mitra, Aditi ^[1]

New York Univ. (NYU), NY (United States). Center for Quantum Phenomena
Univ. of Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics

We present that certain periodically driven quantum many-particle systems in one dimension are known to exhibit edge modes that are related to topological properties and lead to approximate degeneracies of the Floquet spectrum. A similar situation occurs in spin chains, where stable edge modes were shown to exist at all energies in certain integrable spin chains. Moreover, these edge modes were found to be remarkably stable to perturbations. Here we investigate the stability of edge modes in interacting, periodically driven, clean systems. Finally, we introduce a model that features edge modes that persist over times scales well in excess of the time needed for the bulk of the system to heat to infinite temperatures.

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Research Organization:: New York Univ. (NYU), NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: SC0010821; EP/N01930X; PHY-1748958

OSTI ID:: 1595128

Alternate ID(s):: OSTI ID: 1513039; OSTI ID: 1513069

Journal Information:: Physical Review B, Vol. 99, Issue 20; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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