Browsing by Subject "NON-ABELIAN STATISTICS"

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    Floquet Majorana fermions for topological qubits in superconducting devices and cold-atom systems.
    (Physical review letters, 2013-07) Liu, Dong E; Levchenko, Alex; Baranger, Harold U
    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.