The topological phase picked up by an arbitrary spin undergoing a cyclic series of quantum jumps is deduced by geometric considerations. Generalizing the Hamiltonian of a spin in a magnetic field, higher-dimensional Dirac monopoles are derived from the non-Abelian adiabatic phase. These monopoles appear in the momentum space description of zero mass particles in higher dimensions.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics