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Published December 1, 2021 | Submitted + Published
Journal Article Open

Universal nonadiabatic energy pumping in a quasiperiodically driven extended system

Abstract

The paradigm of Floquet engineering of topological states of matter can be generalized into the time-quasiperiodic scenario, where a lower-dimensional time-dependent system maps onto a higher-dimensional one by combining the physical dimensions with additional synthetic dimensions generated by multiple incommensurate driving frequencies. Differently from most previous works in which gapped topological phases were considered, we propose an experimentally realizable, one-dimensional chain driven by two frequencies, which maps onto a gapless Weyl semimetal in a synthetic dimension. Based on analytical reasoning and numerical simulations, we find that the nonadiabatic quantum dynamics of this system exhibit energy pumping behaviors characterized by universal functions. We also numerically find that such behaviors are robust against a considerable amount of spatial disorder.

Additional Information

© 2021 American Physical Society. (Received 20 October 2021; revised 19 November 2021; accepted 19 November 2021; published 2 December 2021) We acknowledge support from the Institute of Quantum Information and Matter, an NSF Frontier center. G.R. is also grateful for support from the Simons Foundation and the DARPA DRINQS program. Z.Q. is grateful for support from Caltech's Student-Faculty program and the Victor Neher Fellowship. Y.P. acknowledges support from the startup fund from California State University, Northridge. Numerical calculations have been performed using QuTip [42,43]. This work was performed in part at Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611.

Attached Files

Published - PhysRevB.104.224301.pdf

Submitted - 2110.07757.pdf

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Additional details

Created:
August 20, 2023
Modified:
October 23, 2023