Non-Abelian Berry transport, spin coherent states and Majorana points

Yun Liu, Abhishek Roy, Michael Stone

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the adiabatic evolution of Kramers-degenerate pairs of spin states in a half-integer spin molecular magnet as the molecule is slowly rotated. To reveal the full details of the quantum evolution, we use Majoranas parametrization of a general state in the (2j + 1)-dimensional Hilbert space in terms of 2j Majorana points. We show that the intricate motion of the Majorana points may be described by a classical Hamiltonian which is of the same form, but of quite different origin, as that which appears in the spin-coherent-state path integral. As an illustration, we consider molecular magnets of the j = 9/2 Mn4 family and compute the frequency with which the magnetization varies. This frequency is generally different from the frequency of the rotation.

Original languageEnglish (US)
Article number135304
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number13
DOIs
StatePublished - Apr 6 2012

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy

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