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Time-quasiperiodic topological superconductors with Majorana multiplexing

Peng, Yang and Refael, Gil (2018) Time-quasiperiodic topological superconductors with Majorana multiplexing. Physical Review B, 98 (22). Art. No. 220509. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20180521-093207551

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Abstract

Time-quasiperiodic Majoranas are generalizations of Floquet Majoranas in time-quasiperiodic superconducting systems. We show that in a system driven at d mutually irrational frequencies, there are up to 2^d types of such Majoranas, coexisting despite spatial overlap and lack of time-translational invariance. Although the quasienergy spectrum is dense in such systems, the time-quasiperiodic Majoranas can be stable and robust against resonances due to localization in periodic-drive-induced synthetic dimensions. This is demonstrated in a time-quasiperiodic Kitaev chain driven at two frequencies. We further relate the existence of multiple Majoranas in a time-quasiperiodic system to the time-quasicrystal phase introduced recently. These time-quasiperiodic Majoranas open a possibility for braiding which will be pursued in the future.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevb.98.220509DOIArticle
https://arxiv.org/abs/1805.01896arXivDiscussion Paper
Alternate Title:Majorana Multiplexing
Additional Information:© 2018 American Physical Society. Received 15 May 2018; revised manuscript received 6 December 2018; published 21 December 2018. 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 W911NF-16-1-0361 “Quantum Materials by Design with Electromagnetic Excitation” sponsored by the U.S. Army, as well as to the Aspen Center for Physics, supported by National Science Foundation Grant No. PHY-1607761, where part of the work was done.
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
Gordon and Betty Moore FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Army Research Office (ARO)W911NF-16-1-0361
NSFPHY-1607761
Record Number:CaltechAUTHORS:20180521-093207551
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180521-093207551
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86491
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:21 May 2018 17:37
Last Modified:21 Dec 2018 18:03

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