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We study the effect of a time-varying solenoidal vector potential for a quantum particle confined to a ring. The setup appears to be a time-varying version of the Aharonov-Bohm effect, but since the particle moves in the presence of fields,…

Quantum Physics · Physics 2025-12-19 Patrick Hinrichs , Douglas Singleton , Nader Inan

Aharonov-Bohm (AB) caging is the complete wavefunction localization effect in translational-invariant lattices induced by destructive phase interference. These phases originate from the gauge fields such as the penetrated magnetic fields,…

Quantum Physics · Physics 2026-05-25 Le-Chuan Wang , Sai Li , Jia Liu , Zheng-Yuan Xue

The Aharonov-Bohm effect is one of the most surprising wonders of the quantum world. The observed solenoid effect, as well as others, shows that a particle is affected by the potential in a region in which there is no force-field. This is…

High Energy Physics - Phenomenology · Physics 2026-04-02 J. Bernabeu , C. Espinoza

We report the results of an experimental study of an analog of the Aharonov-Bohm (AB) effect achieved with the hydrodynamic pilot-wave system. A walking droplet is confined to an annular cavity that encircles a shielded vortex, but lies…

Fluid Dynamics · Physics 2025-12-25 Georgi Gary Rozenman , Kyle I. McKee , Arnaud Lazarus , Valeri Frumkin , John W M Bush

We have performed time-dependent wave packet simulations of realistic Aharonov-Bohm (AB) devices with a quantum dot embedded in one of the arms of the interferometer. The AB ring can function as a measurement device for the intrinsic…

Mesoscale and Nanoscale Physics · Physics 2017-02-23 Christoph Kreisbeck , Tobias Kramer , Rafael A. Molina

The analysis of the gauge principle as a mere passive symmetry requirement leads to the conclusion that the connection term in the covariant derivative is flat and that local phase transformations are without any empirical significance in…

High Energy Physics - Theory · Physics 2007-05-23 Holger Lyre

We study theoretically the optical properties of an exciton in a two-dimensional ring threaded by a magnetic flux. We model the quantum ring by a confining potential that can be continuously tuned from strictly one-dimensional to truly…

Mesoscale and Nanoscale Physics · Physics 2011-12-05 C. González-Santander , F. Domínguez-Adame , R. A. Römer

This study looks at the confinement effects of Aharonov-Bohm (AB) flux and magnetic fields, as well as topological defects in a quantum plasma, on the hydrogen atom. The joint effects show that the system is extremely attractive.…

Plasma Physics · Physics 2022-03-17 C. O. Edet , A. N. Ikot

The magnetic Aharonov-Bohm effect shows that charged particles may be affected by the vector potential in regions without any electric or magnetic fields [1]. The Aharonov-Bohm effect was experimentally confirmed [2-3] and has been found in…

Classical Physics · Physics 2022-01-31 Gaobiao Xiao

A non-local action functional for electrodynamics depending on the electric and magnetic fields, instead of potentials, has been proposed in the literature. In this work we elaborate and improve this proposal. We also use this formalism to…

High Energy Physics - Theory · Physics 2019-10-14 Joan Bernabeu , Jose Navarro-Salas

Quantum transport through a double Aharonov-Bohm-interferometer in the presence of Andreev reflection is investigated in terms of the nonequilibrium Green function method with which the reflection current is obtained. Tunable Andreev…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yong-Ping Zhang , Hui Yu , Ying-Fang Gao , J. -Q. Liang

The Aharonov-Bohm effect (ABE) for steady magnetic fields is a well known phenomenon. However, if the current in the infinite solenoid that creates the magnetic field is time-dependent, that is in the presence of both magnetic and electric…

Quantum Physics · Physics 2019-06-26 S. Rai Choudhury , Shobhit Mahajan

We study the effects of Kondo correlations on the transmission phase shift of a quantum dot in an Aharonov-Bohm ring. We predict in detail how the development of a Kondo resonance should affect the dependence of the phase shift on transport…

Strongly Correlated Electrons · Physics 2009-10-31 Ulrich Gerland , Jan von Delft , Theo Costi , Yuval Oreg

We calculate the conductance through a circular quantum billiard with two leads and a point magnetic flux at the center. The boundary element method is used to solve the Schrodinger equation of the scattering problem, and the Landauer…

Mesoscale and Nanoscale Physics · Physics 2012-04-27 Suhan Ree , L. E. Reichl

The Aharonov--Bohm effect is considered as a scattering event with nonrelativistic charged particles of the wavelength which is less than the transverse size of an impenetrable magnetic vortex. The quasiclassical WKB method is shown to be…

Quantum Physics · Physics 2016-10-04 Yu. A. Sitenko , N. D. Vlasii

An Abrikosov vortex in a superconductor carries a flux quantum, Phi_0 = hc/2e, localized at its center, but induces a global 2pi phase rotation in the superconducting condensate. This long-range gauge field outside the area pierced by a…

Superconductivity · Physics 2015-05-18 Taras Golod , Andreas Rydh , Vladimir M. Krasnov

This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The scattering is qualitatively analyzed by two approaches. In the…

Dynamical Systems · Mathematics 2007-05-23 Luis Fernando Mello , Yuri Cândido Ribeiro

Electron transport through mesoscopic, one-dimensional rings with asymmetric injection into the arms of the ring is studied, in the presence of a Aharonov-Bohm flux, by means of an appropriate $\boldsymbol{S}$ matrix. This matrix is…

Mesoscale and Nanoscale Physics · Physics 2015-11-23 P. Vasilopoulos , O. Kálmán , F. M. Peeters , M. G. Benedict

Through experimentation, we have discovered that with the changing of driving conditions, the Faraday waves undergo two abrupt transitions in spatiotemporal order: onset and instability. The driving amplitudes and frequencies corresponding…

Fluid Dynamics · Physics 2023-05-16 Peizhao Li , Tiancheng Yu , Xuechang Tu , Han Yan , Wei Wang , Luqun Zhou

We investigate spin-dependent conductance through a quantum Aharonov-Bohm ring containing localized electrons which interact with the propagating flow of electrons via exchange interaction of the ferromagnetic or antiferromagnetic type. We…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 I. G. Savenko , R. G. Polozkov , I. A. Shelykh