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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