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Related papers: A purely geometrical Aharonov-Bohm effect

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In this work, we investigate the quantum motions of non-relativistic particles interacting with a potential in the presence of the Aharonov-Bohm (AB) flux field within a topological defect geometry, for example, space-time with a distortion…

Quantum Physics · Physics 2024-02-13 Prabir Rudra , Faizuddin Ahmed , Houcine Aounallah

In order to overcome ambiguity problem on identification of mathematical objects in noncommutative theory with physical observables, quantum mechanical system coupled to the NC U(1) gauge field in the noncommutative space is reformulated by…

High Energy Physics - Theory · Physics 2009-11-10 Akira Kokado , Takashi Okamura , Takesi Saito

We construct a U(1) gerbe with a connection over a finite-dimensional, classical phase space P. The connection is given by a triple of forms A,B,H: a potential 1-form A, a Neveu-Schwarz potential 2-form B, and a field-strength 3-form H=dB.…

High Energy Physics - Theory · Physics 2008-11-26 J. M. Isidro , M. A. de Gosson

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

In the Aharonov-Bohm (AB) effect, interference fringes are observed for a charged particle in the absence of the local overlap with the external electromagnetic field. This notion of the apparent nonlocality of the interaction or the…

Quantum Physics · Physics 2025-06-11 Kicheon Kang

Interferometry is a vital tool for studying fundamental features in the quantum Hall effect (QHE). For instance, Aharonov-Bohm (AB) interference in a quantum Hall interferometer can probe the wave-particle duality of electrons and…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Sourav Biswas , Hemanta Kumar Kundu , Rajarshi Bhattacharyya , Vladimir Umansky , Moty Heiblum

Multi-terminal Aharonov-Bohm (AB) rings are ideal building blocks for quantum networks (QNs) thanks to their ability to map input states into controlled coherent superpositions of output states. We report on experiments performed on…

Mesoscale and Nanoscale Physics · Physics 2010-05-24 E. Strambini , V. Piazza , G. Biasiol , L. Sorba , F. Beltram

The behaviour of quantum systems in non-inertial frames is revisited from the point of view of affine coherent state (ACS) quantization. We restrict our approach to the one-particle dynamics confined in a rotating plane about a fixed axis.…

Quantum Physics · Physics 2017-08-10 J. -P. Gazeau , T. Koide , R. Murenzi

The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding…

High Energy Physics - Theory · Physics 2009-10-07 M. Chaichian , A. Demichev , P. Presnajder , M. M. Sheikh-Jabbari , A. Tureanu

We have studied particle motion in generalized forms of noncommutative phase space, that simulate monopole and other forms of Berry curvature, that can be identified as effective internal magnetic fields, in coordinate and momentum space.…

High Energy Physics - Theory · Physics 2008-11-26 B. Basu , Subir Ghosh , S. Dhar

A quantum dot proposal for the implementation of topological quantum computation is presented. The coupling of the electron charge to an external magnetic field via the Aharonov-Bohm effect, combined with the control dynamics of a double…

Quantum Physics · Physics 2007-05-23 Roberta Rodriquez , Jiannis K. Pachos

Recent literature on the Aharonov-Bohm effect has raised fundamental questions on the classical correspondence of this effect and the physical reality of the electromagnetic potentials in quantum mechanics. Reappraisal on Feynman's approach…

General Physics · Physics 2018-05-15 S. C. Tiwari

The classical counterpart of noncommutative quantum mechanics is a constrained system containing only second class constraints. The embedding procedure formulated by Batalin, Fradkin and Tyutin (BFT) enables one to transform this system…

High Energy Physics - Theory · Physics 2009-07-09 F. S. Bemfica , H. O. Girotti

The detection of quantum aspects of gravity remains one of the most elusive challenges in modern physics. In this paper, we develop a comprehensive theoretical framework for the gravitational Aharonov-Bohm (AB) effect, extending previous…

Quantum Physics · Physics 2024-12-17 Ayda Najafzadeh

We propose an electrodynamic Aharonov-Bohm (AB) scheme where a nonzero AB phase difference appears even if the interferometer paths do not enclose a magnetic flux and are subjected to negligible scalar potential differences during the…

Quantum Physics · Physics 2024-01-30 Pablo L. Saldanha

The unification of quantum mechanics and general relativity remains among the most profound challenges in fundamental physics. Here we investigate a novel quantum probe of strong-field gravity: the gravitomagnetic Aharonov-Bohm (AB) effect…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Erdem Sucu , İzzet Sakallı

We study the Coulomb interaction-induced Aharonov-Bohm (AB) oscillations in the linear response transport through a remote quantum dot which has no tunnel coupling but has Coulomb coupling with the quantum dot embedded in an AB…

Mesoscale and Nanoscale Physics · Physics 2015-08-04 Toshihiro Kubo , Yasuhiro Tokura

In this paper, We analyze a spin-zero relativistic quantum oscillator in the presence of the Aharonov-Bohm (AB) magnetic flux in a space-time background produced by a point-like global monopole (PGM). Afterward, we introduce a static…

High Energy Physics - Theory · Physics 2022-05-26 Faizuddin Ahmed

Marletto and Vedral [Phys. Rev. Lett. 125, 040401 (2020)] propose that the Aharonov-Bohm (AB) phase is locally mediated by entanglement between a charged particle and the quantized electromagnetic field, asserting gauge independence for…

Quantum Physics · Physics 2026-01-27 Shan Gao

We investigate the scattering of a charged quantum particle in a helically twisted background that induces an effective Coulomb-like interaction, in the presence of an Aharonov-Bohm (AB) flux. Starting from the nonrelativistic Schr\"odinger…

Quantum Physics · Physics 2026-02-06 Augusto Tadeu P. de Araújo , Edilberto O. Silva