Quantum anholonomies in time-dependent Aharonov-Bohm rings
arXiv:1006.2913 · doi:10.1103/PhysRevA.82.022104
Abstract
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.
6 pages. Fixed typo
References in corpus (6)
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- Cheon's anholonomies in Floquet operators
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Cited by in corpus (6)
- On the spin-1/2 Aharonov-Bohm problem in conical space: bound states, scattering and helicity nonconservation
- Tripartite connection condition for quantum graph vertex
- Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential
- Gauge invariants of eigenspace and eigenvalue anholonomies: Examples in hierarchical quantum circuits
- Exotic quantum holonomy and higher-order exceptional points in quantum kicked tops
- Eigenvalue and eigenspace anholonomies in hierarchical systems