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The Aharonov-Bohm (AB) effect is a pure quantum effect that implies a measurable phase shift in the wave function for a charged particle that encircles a magnetic flux located in a region \textit{inaccessible} to the particle. Classically,…

Quantum Physics · Physics 2022-09-23 Xiang Li , Thors Hans Hansson , Wei Ku

We consider the magnetic flux in a quantum mechanical superposition of two values and find that the Aharonov-Bohm effect interference pattern contains information about the nature of the superposition, allowing information about the state…

Quantum Physics · Physics 2014-02-12 Kaća Bradonjić , John D. Swain

We discuss the consequences of the Aharonov-Bohm effect in setups involving several charged particles, wherein none of the charged particles encloses a closed loop around the magnetic flux. We show that in such setups, the AB phase is…

Quantum Physics · Physics 2009-11-11 A. Retzker , Y. Aharonov , A. Botero , S. Nussinov , B. Reznik

A field-interaction scheme is introduced for describing the Aharonov-Bohm effect, fully consistent with the principle of relativity. Our theory is based on the fact that local field interactions are present even when a particle moves only…

Quantum Physics · Physics 2018-08-21 Kicheon Kang

The Aharonov-Bohm effect is the prime example of a zero-field-strength configuration where a non-trivial vector potential acquires physical significance, a typical quantum mechanical effect. We consider an extension of the traditional A-B…

Superconductivity · Physics 2010-02-16 Fabio Franchini , Alfred Scharff Goldhaber

The molecular states of conduction electrons in laterally coupled quantum rings are investigated theoretically. The states are shown to have a distinct magnetic field dependence, which gives rise to periodic fluctuations of the tunnel…

Mesoscale and Nanoscale Physics · Physics 2007-12-19 JI Climente , J Planelles

Since the recent experimental realization of synthetic Rashba spin-orbit coupling paved a new avenue for exploring and engineering topological phases in ultracold atoms, a precise, solid detection of Berry phase has been desired for…

Quantum Gases · Physics 2018-08-29 Junpeng Hou , Xi-Wang Luo , Kuei Sun , Chuanwei Zhang

We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state…

Quantum Physics · Physics 2007-05-23 Pavel Exner , Vladimir A. Geyler

The Aharonov-Bohm effect in a one-dimensional (1D) ring containing a gas of fractionally charged excitations is considered. It is shown that the low temperature behavior of the system is identical to that of free electrons with (integer)…

Condensed Matter · Physics 2016-08-15 I. V. Krive , P. Sandström , R. I. Shekhter , M. Jonson

An understanding of the interaction of a point charge and a magnetic moment is crucial for understanding the experiments involving electromagnetic momentum carried by permeable materials as well as the experimentally-observed Aharonov-Bohm…

Classical Physics · Physics 2012-10-08 Timothy H. Boyer

The Aharonov-Bohm scattering of charged particles by the magnetic field of an infinitely long and infinitely thin solenoid (magnetic string) in an absorbing medium is studied. We discuss the partial-wave approach to this problem and show…

Quantum Physics · Physics 2009-10-31 Juergen Audretsch , Vladimir Skarzhinsky

The Aharonov-Bohm effect is a quantum mechanical phenomenon that demonstrates how potentials can have observable effects even when the classical fields associated with those potentials are absent. Initially proposed for electromagnetic…

Quantum Physics · Physics 2024-09-05 Michael E Tobar , Michael T Hatzon , Graeme R Flower , Maxim Goryachev

The model of a ring threaded by the Aharonov-Bohm flux underlies our understanding of a coupling between gauge potentials and matter. The typical formulation of the model is based upon a single particle picture, and should be extended when…

Quantum Gases · Physics 2023-08-29 Fabian Brauneis , Areg Ghazaryan , Hans-Werner Hammer , Artem G. Volosniev

Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the…

Quantum Physics · Physics 2025-12-18 Hiram S. M. Rodrigues , Katson W. O. Arévola , Pablo L. Saldanha

Recently Georgi argued that hypothetical conformally invariant hidden sector weakly interacting with ordinary particles will have unusual manifestations at low energies in terms of effective degrees of freedom called unparticles. In this…

High Energy Physics - Phenomenology · Physics 2008-11-26 Archil Kobakhidze

Classical electrodynamics foresees that the effective interaction force between a moving charge and a magnetic dipole is modified by the time-varying total momentum of the interaction fields. We derive the equations of motion of the…

Classical Physics · Physics 2021-05-26 Gianfranco Spavieri , George T. Gillies , Miguel E. Rodriguez , Maribel Peréz Pirela

We investigate the properties of strongly correlated electronic models on a flux-threaded ring connected to semi-infinite free-electron leads. The interference pattern of such an Aharonov-Bohm ring shows sharp dips at certain flux values,…

Strongly Correlated Electrons · Physics 2009-11-10 K. Hallberg , A. A. Aligia , A. P. Kampf , B. Normand

The Aharonov-Bohm (AB) effect highlights the fundamental role of electromagnetic potentials in quantum mechanics, manifesting as a phase shift for a charged particle in field-free regions. While well-established for static magnetic fluxes,…

Quantum Physics · Physics 2026-01-27 Shan Gao

The Aharonov-Bohm effect is a fundamental topological phenomenon with a wide range of applications. It consists of a charge encircling a region with a magnetic flux in a superposition of wave packets having their relative phase affected by…

Quantum Physics · Physics 2023-03-17 Ismael L. Paiva , Pedro R. Dieguez , Renato M. Angelo , Eliahu Cohen

We calculate the orbital magnetic response to Aharonov Bohm flux of disordered metallic rings with attractive pairing interaction. We consider the reduced BCS model, and obtain the result as an expansion of its exact solution to first order…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 M. Schechter , Y. Imry , Y. Levinson , Y. Oreg