Liu, DE; Levchenko, A; Baranger, HU, *Floquet Majorana fermions for topological qubits in superconducting devices and cold-atom systems.*,
Physical Review Letters, vol. 111 no. 4
(July, 2013),
pp. 047002 [23931396], [doi] .
**Abstract:**

*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.*