Many-path interference and topologically suppressed tunneling
Institut de Physique de l'Université
de Neuchâtel, Rue A. L. Breguet 1, CH-2000 Neuchâtel, Switzerland
2 Departement für Physik der Universität Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
Accepted: 28 April 1998
Quantum interference is studied for a charged particle on a multiply connected configuration space. The holes of the space are assumed to accommodate independent magnetic fluxes. As follows from an instanton calculation, tunneling of the particle is suppressed completely in such a geometry for appropriately chosen field strengths. This set of values defines an algebraic variety in parameter space, not a manifold. The quenching persists even if the geometric symmetry of the system is broken. Aharonov-Bohm–type experiments and mesoscopic tunneling devices are natural candidates to observe many-path interference.
PACS: 03.65.Sq – Semiclassical theories and applications / 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers) / 03.65.Db – Functional analytical methods
© EDP Sciences, 1998