Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session N50: Dynamical Phenomena with Floquet or Quasi-Periodic Driving
11:30 AM–2:30 PM,
Wednesday, March 16, 2022
Room: McCormick Place W-474A
Sponsoring
Unit:
DCMP
Chair: Aditi Mitra, NYU
Abstract: N50.00005 : Long-lived π edge modes of interacting and disorder-free Floquet spin chains*
12:18 PM–12:30 PM
Presenter:
Aditi Mitra
(New York University)
Author:
Aditi Mitra
(New York University)
Collaboration:
Daniel J. Yates, Alexander G. Abanov, Aditi Mitra
different from their static counterparts by, for example, hosting $\pi$ edge modes that show stable period-doubled dynamics.
However the stability of these edge modes to interactions has traditionally required the system to be many-body localized
in order to suppress heating. In contrast, here we show that even in the absence of disorder, and in the presence
of bulk heating, $\pi$ edge modes are long lived. Their lifetime is extracted from exact diagonalization and is found to
be non-perturbative in the interaction strength. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic
time-evolution to dynamics of a single particle in Krylov subspace. In this subspace, the $\pi$ edge mode manifests as the
quasi-stable edge mode of an inhomogeneous Su-Schrieffer-Heeger model whose dimerization vanishes in the bulk of the Krylov chain.
*This work was supported by the US Department of Energy, Office ofScience, Basic Energy Sciences, under Award No.~DE-SC0010821 (DJY and AM)and by the US National Science Foundation Grant NSFDMR-1606591 (AGA).
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