Nathan, Frederik and Ge, Rongchun and Gazit, Snir and Rudner, Mark and Kolodrubetz, Michael (2021) Quasiperiodic Floquet-Thouless Energy Pump. Physical Review Letters, 127 (16). Art. No. 166804. ISSN 0031-9007. doi:10.1103/physrevlett.127.166804. https://resolver.caltech.edu/CaltechAUTHORS:20211014-212143566
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Abstract
We study a disordered one-dimensional fermionic system subject to quasiperiodic driving by two modes with incommensurate frequencies. We show that the system supports a topological phase in which energy is transferred between the two driving modes at a quantized rate. The phase is protected by a combination of disorder-induced spatial localization and frequency localization, a mechanism unique to quasiperiodically driven systems. We demonstrate that an analogue of the phase can be realized in a cavity-qubit system driven by two incommensurate modes.
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| Additional Information: | © 2021 American Physical Society. (Received 27 November 2020; accepted 9 September 2021; published 13 October 2021). We thank Anushya Chandran, Philip Crowley, David Long, Ivar Martin, and Gil Refael for valuable discussions. This work was performed with support from the National Science Foundation through Grant No. DMR-1945529 and the Welch Foundation through Grant No. AT-2036-20200401 (M. K. and R. G.). S. G. acknowledges support from the Israel Science Foundation, Grant No. 1686/18. F. N. and M. R. gratefully acknowledge the support of the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement No. 678862), and the Villum Foundation. We used the computational resources of the Lonestar 5 cluster operated by the Texas Advanced Computing Center at the University of Texas at Austin and the Ganymede and Topo clusters operated by the University of Texas at Dallas’ Cyberinfrastructure & Research Services Department. | ||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||
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| Issue or Number: | 16 | ||||||||||||
| DOI: | 10.1103/physrevlett.127.166804 | ||||||||||||
| Record Number: | CaltechAUTHORS:20211014-212143566 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20211014-212143566 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 111449 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | George Porter | ||||||||||||
| Deposited On: | 18 Oct 2021 21:14 | ||||||||||||
| Last Modified: | 18 Oct 2021 21:14 |
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