



01282nas a2200133   4500008004100000245006000041210006000101260001500161490000800176520088800184100001801072700002101090856003701111       2020                        eng d00aUnitary Subharmonic Response and Floquet Majorana Modes0 aUnitary Subharmonic Response and Floquet Majorana Modes  c10/13/20200 v1253 a<p>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 non-equilibrium 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 multi-qubit hardware, such as superconducting circuits and cold atomic systems</p>1 aShtanko, Oles1 aMovassagh, Ramis  uhttps://arxiv.org/abs/1911.05795