## 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 language | English (US) |
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Article number | 135304 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 45 |

Issue number | 13 |

DOIs | |

State | Published - Apr 6 2012 |

## ASJC Scopus subject areas

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