© 2009 American Institute of Physics, S-0031-9228-0909-020-6 Quantum phenomena that were once thought to limit measurement capabilities are now being harnessed to enhance them and to improve the sensitivity of nanometer-size devices. Persistent questioning and probing of quantum phenomena has yielded many such advances. However, the Aharonov–Bohm effect, a modern cornerstone of quantum mechanic...

We present an analysis of the Aharonov-Bohm oscillations for a mesoscopic ring with a quantum dot inserted in one of its arms. It is shown that mi-croreversibility demands that the phase of the Aharonov-Bohm oscillations changes abruptly when a resonant level crosses the Fermi energy. We use the Friedel sum rule to discuss the conservation of the parity of the oscillations at different conducta...

A novel version of the electric Aharonov-Bohm effect is proposed where quantum system which picks up phase confined to a Faraday cage with time varying, spatially uniform scalar potential. The and magnetic fields in this region are effectively zero for entire period experiment. observable consequence Aharonov-Bohmn shift energy levels rather than fringes 2-slit interference pattern. We show str...

The non-minimal coupling of fermions to a background responsible for the breaking of Lorentz symmetry is introduced in Dirac’s equation; the non-relativistic regime is contemplated, and the Pauli’s equation is used to to show how an Aharonov-Casher phase appears as a natural consequence of the Lorentz-violating term. Different ways of realizing the Lorentz breaking are presented and, in each ca...

Starting from the Abelian Higgs field theory, we construct the theory of quantum Abrikosov–Nielsen–Olesen strings. It is shown that in four space – time dimensions in the limit of infinitely thin strings, the conformal anomaly is absent, and the quantum theory exists. We also study an analogue of the Aharonov–Bohm effect: the corresponding topological interaction is proportional to the linking ...

We construct a classical action for a system of N point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and develop a quantum mechanics for them. Adopting the coherent state quantization and solving the Gauss’ constraint in an appropriately chosen gauge, we obtain a quantum mechanical Hamiltonian given in terms of the Knizhnik-Zamolodchikov c...

We consider the phase-coherent transport of electrons passing through an Aharonov–Bohm ring while interacting with a tunnel charge in a double quantum dot (representing a charge qubit) which couples symmetrically to both arms of the ring. For Aharonov–Bohm flux AB = h/2e we find that electrons can only be transmitted when they flip the charge qubit’s pseudospin parity an odd number of times. Th...