Floquet Majorana fermions for topological qubits in superconducting devices and cold-atom systems.
We develop an approach to realizing a topological phase transition and non-Abelian braiding statistics with dynamically induced Floquet Majorana fermions (FMFs). When the periodic driving potential does not break fermion parity conservation, FMFs can encode quantum information. Quasienergy analysis shows that a stable FMF zero mode and two other satellite modes exist in a wide parameter space with large quasienergy gaps, which prevents transitions to other Floquet states under adiabatic driving. We also show that in the asymptotic limit FMFs preserve non-Abelian braiding statistics and, thus, behave like their equilibrium counterparts.
Department of Physics, Duke University, Box 90305, Durham, North Carolina 27708-0305, USA.
Dong E
DE
Liu
Alex
A
Levchenko
Harold U
HU
Baranger