Topological edge modes without symmetry in quasiperiodically driven spin chains
Abstract
Here we construct an example of a 1d quasiperiodically driven spin chain whose edge states can coherently store quantum information, protected by a combination of localization, dynamics, and topology. In a sharp departure from topological phases in static and periodically driven (Floquet) spin chains, this model does not rely upon microscopic symmetry protection: Instead, the edge states are protected purely by emergent dynamical symmetries. We explore the dynamical signatures of this emergent dynamical symmetry-protected topological (EDSPT) order through exact numerics, time evolving block decimation, and analytic high-frequency expansion, finding evidence that the EDSPT is a stable dynamical phase protected by bulk many-body localization up to (at least) stretched-exponentially long timescales, and possibly beyond. We argue that EDSPTs are special to the quasiperiodically driven setting, and cannot arise in Floquet systems. Moreover, we find evidence of a type of boundary critical with no known static or Floquet analogue, in which the edge spin dynamics transition from quasiperiodic to chaotic, leading to bulk thermalization.
- Authors:
-
- University of Colorado, Boulder, CO (United States); University of Texas, Austin, TX (United States)
- University of Massachusetts, Amherst, MA (United States)
- University of Texas, Austin, TX (United States)
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Alfred P. Sloan Foundation
- OSTI Identifier:
- 1979732
- Grant/Contract Number:
- SC0019168; DMR-1653007
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 11; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; cold and ultracold molecules; dynamical phase transitions; quantum simulation; symmetry protected topological states
Citation Formats
Friedman, Aaron J., Ware, Brayden, Vasseur, Romain, and Potter, Andrew C. Topological edge modes without symmetry in quasiperiodically driven spin chains. United States: N. p., 2022.
Web. doi:10.1103/physrevb.105.115117.
Friedman, Aaron J., Ware, Brayden, Vasseur, Romain, & Potter, Andrew C. Topological edge modes without symmetry in quasiperiodically driven spin chains. United States. https://doi.org/10.1103/physrevb.105.115117
Friedman, Aaron J., Ware, Brayden, Vasseur, Romain, and Potter, Andrew C. Mon .
"Topological edge modes without symmetry in quasiperiodically driven spin chains". United States. https://doi.org/10.1103/physrevb.105.115117. https://www.osti.gov/servlets/purl/1979732.
@article{osti_1979732,
title = {Topological edge modes without symmetry in quasiperiodically driven spin chains},
author = {Friedman, Aaron J. and Ware, Brayden and Vasseur, Romain and Potter, Andrew C.},
abstractNote = {Here we construct an example of a 1d quasiperiodically driven spin chain whose edge states can coherently store quantum information, protected by a combination of localization, dynamics, and topology. In a sharp departure from topological phases in static and periodically driven (Floquet) spin chains, this model does not rely upon microscopic symmetry protection: Instead, the edge states are protected purely by emergent dynamical symmetries. We explore the dynamical signatures of this emergent dynamical symmetry-protected topological (EDSPT) order through exact numerics, time evolving block decimation, and analytic high-frequency expansion, finding evidence that the EDSPT is a stable dynamical phase protected by bulk many-body localization up to (at least) stretched-exponentially long timescales, and possibly beyond. We argue that EDSPTs are special to the quasiperiodically driven setting, and cannot arise in Floquet systems. Moreover, we find evidence of a type of boundary critical with no known static or Floquet analogue, in which the edge spin dynamics transition from quasiperiodic to chaotic, leading to bulk thermalization.},
doi = {10.1103/physrevb.105.115117},
journal = {Physical Review. B},
number = 11,
volume = 105,
place = {United States},
year = {Mon Mar 14 00:00:00 EDT 2022},
month = {Mon Mar 14 00:00:00 EDT 2022}
}
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