Exotic quantum holonomy induced by degeneracy hidden in complex parameter space

Details Exotic quantum holonomy induced by degeneracy hidden in complex parameter space Exotic quantum holonomy induced by degeneracy hidden in complex parameter space

2009-02-19

arxiv.org/abs/0902.3315v1

Phys.Lett.A374:1901-2100,2010

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1016/j.physleta.2010.02.058

An adiabatic change of a bound state along a closed circuit in the parameter space can induces holonomies not only in the phase of the state, but also in the associated eigenspace and eigenvalue. The former is the well-known Berry phase while the latter, namely the exotic holonomy, is found a decade ago and its origin has not been understood yet. By extending the parameter into the complex number, the correspondence of the exotic holonomies and the degeneracy of the non-Hermitian Hamiltonian, or the exceptional points, is revealed. We show that this explains all the known non-trivial characteristics of the exotic holonomies.

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