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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…

量子物理 · 物理学 2026-01-27 Shan Gao

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,…

量子物理 · 物理学 2022-09-23 Xiang Li , Thors Hans Hansson , Wei Ku

The Aharonov-Bohm (AB) phase is usually associated with a line integral of the electromagnetic vector potential generated by an external current source, such as a solenoid. According to this interpretation, the AB phase of a nonclosed path…

量子物理 · 物理学 2023-08-21 A. Hayashi

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…

量子物理 · 物理学 2025-06-11 Kicheon Kang

In the seminal works from Santos and Gozalo [Europhys. Lett. $\mathbf{45}$, 418 (1999)] and Marletto and Vedral [Phys. Rev. Lett. $\mathbf{125}$, 040401 (2020)], it is shown how the Aharonov-Bohm effect can be described as the result of an…

量子物理 · 物理学 2021-02-05 Pablo L. Saldanha

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…

量子物理 · 物理学 2024-01-30 Pablo L. Saldanha

The gauge invariance of the Aharonov-Bohm (AB) effect with a quantum treatment for the electromagnetic field is demonstrated. We provide an exact solution for the electromagnetic ground energy due to the interaction of the quantum…

量子物理 · 物理学 2024-06-12 Pablo L. Saldanha

The Aharanov-Bohm (AB) effect, which predicts that a magnetic field strongly influences the wave function of an electrically charged particle, is investigated in a three site system in terms of the quantum control by an additional dephasing…

量子物理 · 物理学 2019-03-15 Georg Engelhardt , Jianshu Cao

There recently appear some interesting attempts to explain the AB-effect through the interaction between the charged particle and the solenoid current mediated by the exchange of a virtual photon. A vital assumption of this approach is that…

量子物理 · 物理学 2024-01-31 Masashi Wakamatsu

The most popular interpretation of the Aharonov-Bohm (AB) effect is that the electromagnetic potential locally affects the complex phase of a charged particle's wave function in the magnetic field free region. However, since the vector…

量子物理 · 物理学 2025-06-10 Masashi Wakamatsu

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,…

量子物理 · 物理学 2026-01-27 Shan Gao

We consider different schemes for the electrodynamic Aharonov-Bohm (AB) effect introduced in Ref. [Phys. Rev. A $\mathbf{108}$, 062218 (2023)], exploring the phenomenon to enhance the understanding of its topological nature in spacetime. In…

量子物理 · 物理学 2025-07-08 Pablo L. Saldanha , Herman Batelaan

In a standard interferometry experiment, one measures the phase difference between two paths by recombining the two wave packets on a beam-splitter. However, it has been recently recognized that the phase can also be estimated via local…

量子物理 · 物理学 2021-01-01 Sebastian Horvat , Philippe Allard Guerin , Luca Apadula , Flavio Del Santo

Whether the time-dependent Aharonov-Bohm (AB) effect even exists or not has been the subject of long-standing debate. There are two factors complicating the problem. First, in the closed spacetime line integral of the vector potential that…

量子物理 · 物理学 2025-11-12 Masashi Wakamatsu

An experiment to observe the Aharonov-Bohm effect is discussed. A solenoid which consists of a large number of point magnetic dipoles is considered as the source of a vector potential, which acts on a charged particle, and such potential…

量子物理 · 物理学 2021-10-19 V. Rubaev , L. Fedichkin

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…

高能物理 - 唯象学 · 物理学 2026-04-02 J. Bernabeu , C. Espinoza

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…

量子物理 · 物理学 2019-06-26 S. Rai Choudhury , Shobhit Mahajan

In this paper it is presented a manifestly covariant formulation of the Aharonov-Bohm (AB) phase difference for the magnetic AB effect . This covariant AB phase is written in terms of the Faraday 2-form F and using the decomposition of F in…

综合物理 · 物理学 2015-05-22 Tomislav Ivezic

The Aharonov-Bohm (AB) effect is now largely considered to be a manifestation of geometric phase. However, by decomposing the vector-potential gradient tensor into divergence, curl, and shear components, we isolate a field/charged-particle…

量子物理 · 物理学 2023-02-07 Keith J. Kasunic

The Aharonov-Bohm effect is a physical phenomenon in which the quantum state of a charged particle acquires a phase shift that is directly proportional to the magnetic flux, $\Phi$, due to a (classical) magnetic field, ${\mathbf B}$, which…

量子物理 · 物理学 2026-04-09 Manvendra Somvanshi , D. Jaffino Stargen
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