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Topological energy conversion through the bulk or the boundary of driven systems

Peng, Yang and Refael, Gil (2018) Topological energy conversion through the bulk or the boundary of driven systems. Physical Review B, 97 (13). Art. No. 134303. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20180416-135742666

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Abstract

Combining physical and synthetic dimensions allows a controllable realization and manipulation of high-dimensional topological states. In our work, we introduce two quasiperiodically driven one-dimensional systems which enable tunable topological energy conversion between different driving sources. Using three drives, we realize a four-dimensional quantum Hall state which allows energy conversion between two of the drives within the bulk of the one-dimensional system. With only two drives, we achieve energy conversion between the two at the edge of the chain. Both effects are a manifestation of the effective axion electrodynamics in a three-dimensional time-reversal-invariant topological insulator. Furthermore, we explore the effects of disorder and commensurability of the driving frequencies, and show the phenomena are robust. We propose two experimental platforms, based on semiconductor heterostructures and ultracold atoms in optical lattices, in order to observe the topological energy conversion.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.97.134303DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.134303PublisherArticle
https://arxiv.org/abs/1801.05811arXivDiscussion Paper
Additional Information:© 2018 American Physical Society. Received 26 January 2018; revised manuscript received 4 April 2018; published 16 April 2018. We acknowledge discussions with Y. Baum, I. Martin, and F. Nathan. We acknowledge support from the IQIM, an NSF physics frontier center funded in part by the Moore Foundation. Y.P. is grateful for support from the Walter Burke Institute for Theoretical Physics at Caltech. G.R. is grateful for support from the ARO MURI Grant No. W911NF-16-1-0361 “Quantum Materials by Design with Electromagnetic Excitation” sponsored by the U.S. Army.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontier CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Army Research Office (ARO)W911NF-16-1-0361
Record Number:CaltechAUTHORS:20180416-135742666
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180416-135742666
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85878
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Apr 2018 21:02
Last Modified:16 Apr 2018 21:02

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