Exotic quantum holonomy in Hamiltonian systems

Details Exotic quantum holonomy in Hamiltonian systems Exotic quantum holonomy in Hamiltonian systems

2009-09-11

arxiv.org/abs/0909.2033v1

Phys.Lett.A374:144-149,2009

Physics

Quantum Physics

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

Scientific paper

10.1016/j.physleta.2009.10.064

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.

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