Bloch vector, disclination and exotic quantum holonomy
arXiv:1409.5211 · doi:10.1016/j.physleta.2015.05.009
Abstract
A topological formulation of the eigenspace anholonomy, where eigenspaces are interchanged by adiabatic cycles, is introduced. The anholonomy in two-level systems is identified with a disclination of the director (headless vector) of a Bloch vector, which characterizes eigenprojectors. The covering map structure behind the exotic quantum holonomy and the role of the homotopy classification of adiabatic cycles are elucidated. The extensions of this formulation to nonadiabatic cycles and N-level systems are outlined.
7pages, 3figures; an extensive revision
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Cited by in corpus (5)
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- Adiabatic excitation of a confined particle in one dimension with a variable infinitely sharp wall
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