Quantum anholonomies in time-dependent Aharonov-Bohm rings

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.022104· OSTI ID:21448431

Tanaka, Atushi; Cheon, Taksu ^[1]

---

1. Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397 (Japan)

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.

• OSTI ID: 21448431
• Journal Information: Physical Review. A, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevA.82.022104; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AHARONOV-BOHM EFFECT
EIGENSTATES
EXPECTATION VALUE
MAGNETIC FLUX
QUANTUM MECHANICS
QUANTUM STATES
TIME DEPENDENCE
VARIATIONS
MECHANICS