Floquet Majorana fermions for topological qubits in superconducting devices and cold-atom systems.


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Liu, DE; Levchenko, A; Baranger, HU

Published Date

  • July 22, 2013

Published In

Volume / Issue

  • 111 / 4

Start / End Page

  • 047002 -

PubMed ID

  • 23931396

Pubmed Central ID

  • 23931396

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.111.047002


  • eng