Floquet Majorana Fermions for Topological Qubits

Dong E. Liu; Alex Levchenko; Harold U. Baranger

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arXiv · 1211.1404

Floquet Majorana Fermions for Topological Qubits

Dong E. Liu·Alex Levchenko·Harold U. Baranger

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Abstract

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.

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Dong E. Liu, Alex Levchenko, Harold U. Baranger. 2012-11-08. Floquet Majorana Fermions for Topological Qubits. https://arxiv.org/abs/1211.1404

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