Effective geometric phases and topological transitions in SO(3) and SU(2) rotations

Henri Saarikoski, José Pablo Baltanás, J. Enrique Vázquez-Lozano, Junsaku Nitta, Diego Frustaglia

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We address the development of geometric phases in classical and quantum magnetic moments (spin-1/2) precessing in an external magnetic field. We show that nonadiabatic dynamics lead to a topological phase transition determined by a change in the driving field topology. The transition is associated with an effective geometric phase which is identified from the paths of the magnetic moments in a spherical geometry. The topological transition presents close similarities between SO(3) and SU(2) cases but features differences in, e.g. the adiabatic limits of the geometric phases, being 2π and π in the classical and the quantum case, respectively. We discuss possible experiments where the effective geometric phase would be observable.

Original languageEnglish
Article number166002
JournalJournal of Physics Condensed Matter
Issue number16
Publication statusPublished - 2016 Mar 24


  • Berry phase
  • geometric phase
  • magnetism
  • nonadiabatic
  • rotation
  • spin
  • topology

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


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