We investigate the quantum transport in a generalized N-particle Hanbury Brown-Twiss setup enclosing magnetic flux, and demonstrate that the Nth-order cumulant of current cross correlations exhibits Aharonov-Bohm oscillations, while there is no such oscillation in all the lower-order cumulants. The multiparticle interference results from the orbital Greenberger-Horne-Zeilinger entanglement of N...

The Aharonov-Bohm effect in a small array of antidots with a large aspect ratio is investigated in the quantum Hall regime. The evolution with temperature of the Aharonov-Bohm oscillations in the magnetic field versus gate voltage (B-V_{g}) plane reveals the temperature dependence of the screening. The self-consistently screened potential of the compressible band surrounding an antidot is obser...

We discuss the Maxwell electromagnetic duality relations between the Aharonov-Bohm, Aharonov-Casher, and He-McKellar-Wilkens topological phases, which allows a unified description of all three phenomena. We also elucidate Lorentz transformations that allow these effects to be understood in an intuitive fashion in the rest frame of the moving quantum particle. Finally, we propose a realistic set...

Aharonov and Anandan have recently reformulated and generalized Berry's phase by showing that a quantum system which evolves through a circuit C in projective Hilbert space acquires a geometrical phase P(C) related to the topology of the space and the geometry of the circuit. We present NMR interferometry experiments in a three-level system which demonstrate the Aharonov-Anandan phase and its t...

Garrison and Wright showed that upon undergoing cyclic quantum evolution a meta-stable state acquires both a geometric phase and a geometric decay probability. This is described by a complex geometric “phase” associated with the cyclic evolution of two states and is closely related to the two state formalism developed by Aharonov et al.. Applications of the complex geometric phase to the Born–O...

We study a field–theoretical analogue of the Aharonov–Bohm effect in two-, threeand four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to the linking number of the Abrikosov vortex and the particle world trajectories. We show that the Aharonov–Bohm effect gives rise to a nontrivial interaction of charged test particles. The numerical calculations in...

Using a realistic model of a quantum dot embedded in an Aharonov-Bohm ring with several current-carrying channels, we demonstrate phase persistence in the Fano and Aharonov-Bohm effects as has been observed in experiments. The phase persistence arises because most of states contributing to the Coulomb oscillation of the conductance are weakly coupled to ring states through a small number of sta...

Mesoscopic systems have provided an opportunity to study quantum effects beyond the atomic realm. In these systems quantum coherence prevails over the entire sample. We discuss several novel effects related to persistent currents in open systems which do not have analogues in closed systems. Some phenomena arising simultaneously due to two non-classical effects namely, AharonovBohm effect and q...

The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schrödinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then by solving the Schrödinger equations, we obtain the Aharonov-Bohm (AB) phase on NC space and NC phase space, respectively. PAC...