Floquet Majorana Fermions for Topological Qubits in Superconducting Devices and Cold-Atom Systems
Dong E. Liu, Alex Levchenko, Harold U. Baranger
DOI 10.1103/PhysRevLett.111.047002 · Physical Review Letters
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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.
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