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The existence of the Aharonov-Bohm phase shows that the magnetic field may produce nonlocal effects in quantum mechanics. It is generally believed that such a nonlocal behavior of the magnetic field is not possible in classical physics and…

Classical Physics · Physics 2019-11-22 Ricardo Heras

Newton's second law has limited scope of application when transient phenomena are present. We consider a modification of Newton's second law in order to take into account a sudden change (surge) of angular momentum or linear momentum. We…

Classical Physics · Physics 2019-03-22 Mario J. Pinheiro , Marcus Büker

The canonical Aharonov-Bohm effect is usually studied with time-independent potentials. In this work, we investigate the Aharonov-Bohm phase acquired by a charged particle moving in {\it time-dependent} potentials . In particular, we focus…

High Energy Physics - Theory · Physics 2015-09-29 Max Bright , Douglas Singleton , Atsushi Yoshida

By using the wave function ansatz method, we study the energy eigenvalues and wave function for any arbitrary $m$-state in two-dimensional Schr\"{o}dinger wave equation with various power interaction potentials in constant magnetic and…

Quantum Physics · Physics 2014-12-23 Sameer M. Ikhdair , Babatunde J. Falaye , Majid Hamzavi

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.…

Mesoscale and Nanoscale Physics · Physics 2007-10-31 Henning Schomerus , John P. Robinson

Faraday rotation of a laser field induced by a single atom is demonstrated by tightly focussing a linearly polarized laser beam onto a laser-cooled ion held in a harmonic Paul trap. The polarization rotation signal is further used to…

Atomic Physics · Physics 2012-12-20 G. Hétet , L. Slodička , N. Röck , R. Blatt

Using time-dependent Ginzburg-Landau theory we demonstrate that the Aharonov-Bohm (AB) effect, resulting from a Berry phase shift of the (macroscopic) wavefunction, is revealed through the dynamics of topological phase defects present in…

Superconductivity · Physics 2012-11-15 V. N. Gladilin , J. Tempere , J. T. Devreese , V. V. Moshchalkov

We propose a feasible laboratory interferometry experiment with matter waves in a gravitational potential caused by a pair of artificial field-generating masses. It will demonstrate that the presence of these masses (and, for moving atoms,…

Quantum Physics · Physics 2012-06-08 Michael A. Hohensee , Brian Estey , Paul Hamilton , Anton Zeilinger , Holger Mueller

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

Aharonov-Bohm effect is a quantum mechanical phenomenon that attracted the attention of many physicists and mathematicians since the publication of the seminal paper of Aharonov and Bohm [1] in 1959. We consider different types of…

Mathematical Physics · Physics 2015-06-24 Gregory Eskin

In this paper, the Coulomb-induced changes of Fano interference in electronic transport through a double quantum dot Aharonov-Bohm ring are discussed. It is found that the Coulomb interaction in the quantum dot in the reference channel can…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Weijiang Gong , Xuefeng Xie , Guozhu Wei

With an atomic force microscope a ring geometry with self-aligned in-plane gates was directly written into a GaAs/AlGaAs-heterostructure. Transport measurements in the open regime show only one transmitting mode and Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. F. Keyser , S. Borck , R. J. Haug , W. Wegscheider , M. Bichler , G. Abstreiter

Real-time nonequilibrium quantum dynamics of electrons in double-dot Aharonov-Bohm (AB) interferometers is studied using an exact solution of the master equation. The building of the coherence between the two electronic paths shows up via…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Matisse Wei-Yuan Tu , Wei-Min Zhang , Jinshuang Jin , O. Entin-Wohlman , A. Aharony

Using singly connected rings with a collimating contact to current leads, we have observed the spin quantum beating in the Aharonov-Bohm conductance oscillations. We demonstrate that the beating is a result of the superposition of two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. J. Yang , C. H. Yang , K. A. Cheng , Y. B. Lyanda-Geller

The Aharonov-Bohm effect is a genuine quantum effect typically characterized by a measurable phase shift in the wave function for a charged particle that encircles an electromagnetic field located in a region inaccessible to the mentioned…

Quantum Physics · Physics 2024-02-14 Jose A. R. Cembranos , David García-López , Zoe G. del Toro

This paper states that the induced charge should not be neglected in the electric Aharonov-Bohm effect. If the induced charge is taken into account, the interference pattern of the moving charge will not change with the potential difference…

Quantum Physics · Physics 2014-09-25 Rui-Feng Wang

I formulate a theory of the inverse Faraday effect in impure two-dimensional metallic system with lifted spin degeneracy induced by Rashba spin-orbit coupling. Using the formalism of non-equilibrium quantum field theory, the static…

Strongly Correlated Electrons · Physics 2025-10-28 Maxim Dzero

In this article, we study the time-dependent Aharonov-Bohm effect for non-Abelian gauge fields. We use two well known time-dependent solutions to the Yang-Mills field equations to investigate the Aharonov-Bohm phase shift. For both of the…

High Energy Physics - Theory · Physics 2015-04-09 Max Bright , Douglas Singleton

Stokes' theorem is investigated in the context of the time-dependent Aharonov-Bohm effect -- the two-slit quantum interference experiment with a time varying solenoid between the slits. The time varying solenoid produces an electric field…

High Energy Physics - Theory · Physics 2014-04-02 James Macdougall , Douglas Singleton

The Aharonov-Bohm (AB) effect is a purely quantum mechanical effect. The original (classified as Type-I) AB-phase shift exists in experimental conditions where the electromagnetic fields and forces are zero. It is the absence of forces that…

Quantum Physics · Physics 2009-11-13 Adam Caprez , Brett Barwick , Herman Batelaan
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