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

Abstract

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.

Authors:
 [1];  [2];  [1]
  1. New York Univ. (NYU), NY (United States)
  2. Univ. of Oxford (United Kingdom)
Publication Date:
Research Org.:
New York Univ. (NYU), NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF)
OSTI Identifier:
1595128
Alternate Identifier(s):
OSTI ID: 1513039; OSTI ID: 1513069
Grant/Contract Number:  
SC0010821; EP/N01930X; PHY-1748958
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 20; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Yates, Daniel J., Essler, Fabian H. L., and Mitra, Aditi. Almost strong (0,π) edge modes in clean interacting one-dimensional Floquet systems. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.205419.
Yates, Daniel J., Essler, Fabian H. L., & Mitra, Aditi. Almost strong (0,π) edge modes in clean interacting one-dimensional Floquet systems. United States. doi:10.1103/PhysRevB.99.205419.
Yates, Daniel J., Essler, Fabian H. L., and Mitra, Aditi. Thu . "Almost strong (0,π) edge modes in clean interacting one-dimensional Floquet systems". United States. doi:10.1103/PhysRevB.99.205419.
@article{osti_1595128,
title = {Almost strong (0,π) edge modes in clean interacting one-dimensional Floquet systems},
author = {Yates, Daniel J. and Essler, Fabian H. L. and Mitra, Aditi},
abstractNote = {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.},
doi = {10.1103/PhysRevB.99.205419},
journal = {Physical Review B},
number = 20,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
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