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The Maxwell equations in the presence of sources are first derived without making use of the potentials and the Hamilton-Jacobi equation for classical electrodynamics is written down. The manifestly gauge invariant theory is then quantized…

Quantum Physics · Physics 2017-06-05 Partha Ghose

The time evolution of a two-level quantum mechanical system can be geometrically described using the Bloch sphere. By mapping the Bloch sphere evolution onto the dynamics of oscillating electric dipoles, we provide a physically intuitive…

Quantum Physics · Physics 2014-12-31 Amar C. Vutha

The electromagnetic response of matter is governed by three fundamental multipole families: electric, magnetic, and toroidal. While the electric and magnetic are cornerstones of physics, the toroidal dipole (TD) has eluded direct,…

Quantum Physics · Physics 2025-11-04 Alexandru-Lucian Nastasia , Mircea Dolineanu , Dragos-Victor Anghel

We present a microscopic picture of quantum transport in quantum antidots in the quantum Hall regime taking electron interactions into account. We discuss the edge state structure, energy level evolution, charge quantization and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Ihnatsenka , I. V. Zozoulenko , G. Kirczenow

We propose a method called `coherence swapping' which enables us to create superposition of a particle in two distinct paths, which is fed with initially incoherent, independent radiations. This phenomenon is also present for the charged…

Quantum Physics · Physics 2009-11-07 Arun K. Pati , Marek Zukowski

We perform an "archeological" study of one of the original experiments used as evidence for the static, time-independent Aharonov-Bohm effect. Since the experiment in question [L. Marton, J. A. Simpson, and J. A. Suddeth, Rev. Sci. Instr.…

Quantum Physics · Physics 2015-05-19 James Macdougall , Douglas Singleton , Elias C. Vagenas

We demonstrate theoretically and experimentally a new electromagnetic lensing concept using the magnetic vector potential - in a region free of classical electromagnetic fields - via the Aharonov-Bohm effect. This toroid-shaped lens with…

Instrumentation and Detectors · Physics 2024-05-24 Makoto Tokoro Schreiber , Cathal Cassidy , Menour Saidani , Matthias Wolf

Ionization of atoms by linearly polarized strong laser fields produces cylindrically symmetric photoelectron momentum distributions that exhibit modulations due to the interference of outgoing electron trajectories. For a faithful modeling,…

Atomic Physics · Physics 2020-04-22 Simon Brennecke , Nicolas Eicke , Manfred Lein

This article explores the deep interconnections among three seemingly unrelated concepts in condensed matter physics: electronic liquid crystal phases, multipole expansions, and altermagnetism. At the heart of these phenomena lies a shared…

Superconductivity · Physics 2025-10-13 Zhao Liu , Hui Hu , Xia-Ji Liu

Decades ago, Aharonov and Bohm showed that electrons are affected by electromagnetic potentials in the absence of forces due to fields. Zeilinger's theorem describes this absence of classical force in quantum terms as the "dispersionless"…

Quantum Physics · Physics 2019-08-16 Maria Becker , Giulio Guzzinati , Béché Armand , Johan Verbeeck , Herman Batelaan

We study three-terminal linear and nonlinear transport through an Aharonov-Bohm interferometer containing a double quantum dot using the nonequilibrium Green's function method. Under the condition that one of the three terminals is a…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Toshihiro Kubo , Yuki Ichigo , Yasuhiro Tokura

Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard shere'' like potential and the magnetic flux is…

Quantum Physics · Physics 2009-11-10 De-Hone Lin

We study the role of long range dipolar interactions on antiferromagnetic spin chains, from the classical $S\to \infty$ limit to the deep quantum case $S=1/2$, including a transverse magnetic field. To this end, we combine different…

Strongly Correlated Electrons · Physics 2017-08-30 B. Bravo , D. C. Cabra , F. A. Gómez Albarracín , G. L. Rossini

The Aharonov-Bohm effect is investigated in two-dimensional, single-terminal quantum rings in magnetic fields by using time-dependent density-functional theory. We find multiple transport loops leading to the oscillation periods of h/(en),…

Strongly Correlated Electrons · Physics 2010-06-22 V. Kotimaki , E. Rasanen

We theoretically examine the transport through an Aharonov-Bohm ring with an embedded quantum dot (QD), the so-called QD interferometer, to address two controversial issues regarding the shape of the Coulomb peaks and measurement of the…

Mesoscale and Nanoscale Physics · Physics 2020-12-04 Mikio Eto , Rui Sakano

We propose a controlled experiment to clarify the physical mechanism causing phase lapses of the amplitude for electron transmission through nanoscale devices. Such lapses are generically observed in valleys between adjacent…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Richard Berkovits , Yuval Gefen , Hans A. Weidenmueller

We study the Aharonov-Bohm effect in a coupled 2$\times$2 quantum dot array with two-terminals. A striking conductance dip arising from the Fano interference is found as the energy levels of the intermediate dots are mismatched, which is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Z. Y. Zeng , F. Claro , Alejandro Pérez

Since the Aharonov-Bohm effect is the purely quantum effect that has no analogues in classical physics, its persistence in the quasiclassical limit seems to be hardly possible. Nevertheless, we show that the scattering Aharonov-Bohm effect…

Quantum Physics · Physics 2016-10-04 Yu. A. Sitenko , N. D. Vlasii

The Aharonov-Bohm elastic scattering with incident particles described by plane waves is revisited by using the phase-shifts method. The formal equivalence between the cylindrical Schr\"odinger equation and the one-dimensional Calogero…

High Energy Physics - Theory · Physics 2018-02-23 U. Camara da Silva

We present a unified treatment of the Aharonov--Bohm (AB) effect for two-dimensional multiband electronic systems possessing isotropic band structures. We propose an integral representation of the AB scattering state of an electron…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Róbert Németh , József Cserti
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