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

Jul 22, 2013
5 pages
Published in:
  • Phys.Rev.Lett. 111 (2013) 4, 047002
  • Published: Jul 22, 2013

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Abstract: (APS)
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.
  • 74.78.Na
  • 03.67.Lx
  • 05.30.Pr
  • 74.40.Gh
  • fermion: Majorana
  • fermion: parity
  • critical phenomena: topological
  • parity: conservation law
  • statistics
  • zero mode
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