Exotic quantum holonomy in Hamiltonian systems

Abstract

We study the evolution of quantum eigenstates in the presence of level crossing under adiabatic cyclic change of environmental parameters. We find that exotic holonomies, indicated by exchange of the eigenstates after a single cyclic evolution, can arise from non-Abelian gauge potentials among non-degenerate levels. We illustrate our arguments with solvable two and three level models.

LaTeX Elsevier double column format, 6 pages, 10 figures, See http://www.kochi-tech.ac.jp/~cheon/ for higher quality figures

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