Floquet Majorana Fermions for Topological Qubits in Superconducting Devices and Cold-Atom Systems

Dong E. Liu, Alex Levchenko, and Harold U. Baranger
Phys. Rev. Lett. 111, 047002 – Published 22 July 2013
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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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  • Received 6 November 2012

DOI:https://doi.org/10.1103/PhysRevLett.111.047002

© 2013 American Physical Society

Authors & Affiliations

Dong E. Liu1,2,*, Alex Levchenko2, and Harold U. Baranger1

  • 1Department of Physics, Duke University, Box 90305, Durham, North Carolina 27708-0305, USA
  • 2Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA

  • *delphy@msu.edu

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Issue

Vol. 111, Iss. 4 — 26 July 2013

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