Quantum anholonomies in time-dependent Aharonov-Bohm rings

Details Quantum anholonomies in time-dependent Aharonov-Bohm rings Quantum anholonomies in time-dependent Aharonov-Bohm rings

2010-06-15

arxiv.org/abs/1006.2913v3

Phys. Rev. A82: 022104,2010

Physics

Quantum Physics

6 pages. Fixed typo

Scientific paper

10.1103/PhysRevA.82.022104

Anholonomies in eigenstates are studied through time-dependent variations of a magnetic flux in an Aharonov-Bohm ring. The anholonomies in the eigenenergy and the expectation values of eigenstates are shown to persist beyond the adiabatic regime. The choice of the gauge of the magnetic flux is shown to be crucial to clarify the relationship of these anholonomies to the eigenspace anholonomy, which is described by a non-Abelian connection in the adiabatic limit.

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