Time-quasiperiodic topological superconductors with Majorana multiplexing
- Creators
-
Peng, Yang
- Refael, Gil
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.
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.Attached Files
Published - PhysRevB.98.220509.pdf
Submitted - 1805.01896.pdf
Supplemental Material - supplement.pdf
Files
Additional details
- Alternative title
- Majorana Multiplexing
- Eprint ID
- 86491
- Resolver ID
- CaltechAUTHORS:20180521-093207551
- Institute for Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- Walter Burke Institute for Theoretical Physics, Caltech
- W911NF-16-1-0361
- Army Research Office (ARO)
- PHY-1607761
- NSF
- Created
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2018-05-21Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics