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Related papers: Electromagnetic lensing using the Aharonov-Bohm ef…

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We study the analogy between propagation of light rays in a stationary curved spacetime and in a toroidal (meta-)material. After introducing a novel gravitational analog of the index of refraction of a magneto-electric medium, it is argued…

General Relativity and Quantum Cosmology · Physics 2020-05-08 A. Besharat , M. Miri , M. Nouri-Zonoz

Ultra-cold atoms in light-shaped potentials open up new ways to explore mesoscopic physics: Arbitrary trapping potentials can be engineered with only a change of the laser field. Here, we propose using ultracold atoms in light-shaped…

Quantum Gases · Physics 2019-10-09 Tobias Haug , Hermanni Heimonen , Rainer Dumke , Leong-Chuan Kwek , Luigi Amico

Free electrons moving in an optical standing wave field feel the ponderomotive potential, acting as a refractive-index medium in electron optics. Emerging technologies involving this potential have been proposed and realized in electron…

Optics · Physics 2022-01-25 Yuuki Uesugi , Yuichi Kozawa , Shunichi Sato

Interfacing electrons and light enables ultrafast electron microscopy, quantum control of electrons, as well as new optical elements for high sensitivity imaging. Here we demonstrate for the first time programmable transverse electron beam…

It has been suggested that the magnetic Aharonov-Bohm effect can be interpreted equally well as being due to a phase shift associated with an electron in an interferometer enclosing a magnetic flux, or as a phase shift associated with the…

Quantum Physics · Physics 2025-10-14 J. D. Franson

In the original setting of the Aharonov-Bohm, the gauge invariant physical longitudinal mode of the vector potential, which is written by the gauge invariant physical current $(-e)\bar{\psi}{\boldsymbol \gamma} \psi$, gives the desired…

Quantum Physics · Physics 2022-11-01 Kazuyasu Shigemoto , Kunihiko Uehara

A model for a new electron vortex beam production method is proposed and experimentally demonstrated. The technique calls on the controlled manipulation of the degrees of freedom of the lens aberrations to achieve a helical phase front.…

Optics · Physics 2014-02-10 L. Clark , A. Béché , G. Guzzinati , A. Lubk , M. Mazilu , R. Van Boxem , J. Verbeeck

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

We use a covariant formalism that is capable of describing the electric and magnetic versions of the Aharonov-Bohm effect, as well as the Aharonov-Casher effect, through local interactions of charges and currents with the quantum…

Quantum Physics · Physics 2021-09-29 Pablo L. Saldanha

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

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

The Aharonov-Bohm effect allows one to demonstrate the physical meaningfulness of magnetic vector potential by passing the current in zero magnetic field regions. In the standard (a {\em two-slit-like}) setup a conducting ring is pierced by…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 Adam Rycerz , Dominik Suszalski

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 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…

Quantum Physics · Physics 2025-06-10 Masashi Wakamatsu

It is well-known that the electric and magnetic Aharonov-Bohm effects may be formally described on equal footing using the four-vector potential in a relativistic framework. We propose an illustrative manifestation of both effects in a…

Quantum Physics · Physics 2009-11-13 Samuel Marcovitch , Yakir Aharonov , Tirza Kaufferr , Benni Reznik

The Aharonov-Bohm (AB) effect is an important discovery of quantum theory. It serves as a surprising quantum phenomenon in which an electrically charged particle can be affected by an electromagnetic potential, despite being confined to a…

Quantum Physics · Physics 2023-11-10 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

This is a brief review on the theoretical interpretation of the Aharonov-Bohm effect, which also contains our new insight into the problem. A particular emphasis is put on the unique role of electron orbital angular momentum, especially…

Quantum Physics · Physics 2018-09-26 Masashi Wakamatsu , Yoshio Kitadono , Liping Zou , Pengming Zhang

The interaction between a quantum charge and a dynamic source of a magnetic field is considered in the Aharonov-Bohm scenario. It is shown that, in weak interactions with a post-selection of the source, the effective vector potential is,…

Quantum Physics · Physics 2023-05-23 Ismael L. Paiva , Yakir Aharonov , Jeff Tollaksen , Mordecai Waegell

The Aharonov-Bohm phase shift in a particle interference pattern when electrons pass a long solenoid is identical in form with the optical interference pattern shift when a piece of retarding glass is introduced into one path of a two-beam…

Classical Physics · Physics 2023-08-16 Timothy H. Boyer

It is frequently stated that the electromagnetic vector potential acquires a fundamental role in quantum physics, whereas classically it only represents a convenient, but by no means necessary, way of representing the electromagnetic field.…

Quantum Physics · Physics 2021-11-02 Vlatko Vedral
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