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Unitary Subharmonic Response and Floquet Majorana Modes

TitleUnitary Subharmonic Response and Floquet Majorana Modes
Publication TypeJournal Article
Year of Publication2020
AuthorsO. Shtanko, and R. Movassagh
JournalPhys. Rev. Lett.
Volume125
Pagination086804
Date PublishedAUG 20
Type of ArticleArticle
ISSN0031-9007
Abstract

Detection and manipulation of excitations with non-Abelian statistics, such as Majorana fermions, are essential for creating topological quantum computers. To this end, we show the connection between the existence of such localized particles and the phenomenon of unitary subharmonic response (SR) in periodically driven systems. In particular, starting from highly nonequilibrium initial states, the unpaired Majorana modes exhibit spin oscillations with twice the driving period, are localized, and can have exponentially long lifetimes in clean systems. While the lifetime of SR is limited in translationally invariant systems, we show that disorder can be engineered to stabilize the subharmonic response of Majorana modes. A viable observation of this phenomenon can be achieved using modern multiqubit hardware, such as superconducting circuits and cold atomic systems.

DOI10.1103/PhysRevLett.125.086804