Thursday, November 8, 2012

1211.1404 (Dong E. Liu et al.)

Floquet Majorana Fermions for Topological Qubits    [PDF]

Dong E. Liu, Alex Levchenko, Harold U. Baranger
We introduce and develop an approach to realizing a topological phase transition and non-Abelian statistics with dynamically induced Floquet Majorana Fermions (FMFs). When the periodic driving potential does not break fermion parity conservation, FMFs can encode quantum information. Quasi-energy analysis shows that a stable FMF zero mode and two other satellite modes exist in a wide parameter space with large quasi-energy gaps, which prevents transitions to other Floquet states under adiabatic driving. We also show that in the asymptotic limit FMFs preserve non-Abelian statistics and, thus, behave like their equilibrium counterparts.
View original: http://arxiv.org/abs/1211.1404

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