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Universal nonadiabatic energy pumping in a quasiperiodically driven extended system

Qi, Zihao and Refael, Gil and Peng, Yang (2021) Universal nonadiabatic energy pumping in a quasiperiodically driven extended system. Physical Review B, 104 (22). Art. No. 224301. ISSN 2469-9950. doi:10.1103/physrevb.104.224301.

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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.

Item Type:Article
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URLURL TypeDescription Paper
Peng, Yang0000-0002-8868-2928
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.
Group:Institute for Quantum Information and Matter
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Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Simons FoundationUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
California State University, NorthridgeUNSPECIFIED
Issue or Number:22
Record Number:CaltechAUTHORS:20211202-233649522
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112185
Deposited By: George Porter
Deposited On:03 Dec 2021 16:08
Last Modified:03 Dec 2021 16:08

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