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We show that the Faraday effect can be derived from a simple two-state model. This approach uses a quantized electromagnetic field and does not make reference to differences in refractive indices of left- and right-circularly polarized…

Quantum Physics · Physics 2024-10-04 Benjamin W. Butler

The Faraday-Ampere laws of electro-magnetic induction are formulated in terms of plain and twisted differential forms, taking in due account the body motion in terms of Lie time-derivatives. Covariance of Lie derivatives with respect to…

Mathematical Physics · Physics 2015-03-19 Giovanni Romano

A characterization of the two-terminal open-ring Aharonov-Bohm interferometer is made by analyzing the phase space plots in the complex transmission amplitude plane. Two types of plots are considered: type I plot which uses the magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. V. Amaresh Kumar , Debendranath Sahoo

We present conductance measurements of a ballistic circular stadium influenced by a scanning gate. When the tip depletes the electron gas below, we observe very pronounced and regular fringes covering the entire stadium. The fringes…

Mesoscale and Nanoscale Physics · Physics 2016-10-31 A. A. Kozikov , R. Steinacher , C. Rössler , T. Ihn , K. Ensslin , C. Reichl , W. Wegscheider

We study spin effects in the magneto-conductance of ballistic mesoscopic systems subject to inhomogeneous magnetic fields. We present a numerical approach to the spin-dependent Landauer conductance which generalizes recursive Green function…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Diego Frustaglia , Martina Hentschel , Klaus Richter

Electromagnetic duality between the Aharonov-Bohm and the Aharonov-Casher quantum mechanical phases predicts the existence of a new collective state of matter which can be regarded as a spin dual to the fractional quantum Hall effect. The…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 Jean J. Heremans , Djordje Minic

Motivated by a recent experiment we analyze in detail the phase of Aharonov-Bohm oscillations across a 1D ring with a stub coupled to one of its arms, in the presence of a magnetic flux. We demonstrate that there are two kinds of…

Condensed Matter · Physics 2007-05-23 P. Singha Deo , A. M. Jayannavar

Although the conductance of a closed Aharonov-Bohm interferometer, with a quantum dot on one branch, obeys the Onsager symmetry under magnetic field reversal, it needs not be a periodic function of this field: the conductance maxima move…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Amnon Aharony , Ora Entin-Wohlman , Tomohiro Otsuka , Shingo Katsumoto , Hisashi Aikawa , Kensuke Kobayashi

For a double quantum dot system in a parallel geometry, we demonstrate that by combining the effects of a flux and driving an electrical current through the structure, the spin correlations between electrons localized in the dots can be…

Strongly Correlated Electrons · Physics 2015-06-15 C. A. Büsser , F. Heidrich-Meisner

Noncommutative phase space plays an essential role in particle physics and quantum gravity at the Planck scale. However, direct experimental evidence or observation to demonstrate the existence of noncommutative phase space is still…

Quantum Physics · Physics 2015-02-03 Shi-Dong Liang , Haoqi Li , Guang-Yao Huang

We study the quantum transport through two specific atomtronic circuits: a Y-junction and a ring-shaped condensate pierced by an effective magnetic flux. We demonstrate that for bosons, the two circuits display Andreev-like reflections. For…

Quantum Gases · Physics 2022-02-28 Tobias Haug , Rainer Dumke , Leong-Chuan Kwek , Luigi Amico

We theoretically investigate electron transport through an Aharonov-Bohm interferometer containing laterally coupled double quantum dots. We introduce the indirect coupling parameter $\alpha$, which characterizes the strength of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Toshihiro Kubo , Yasuhiro Tokura , Tsuyoshi Hatano , Seigo Tarucha

The quantum dynamics of quasi-one-dimensional ring with varying electron filling factor is investigated in presence of external electric field. The system is modeled within Hubbard Hamiltonian with attractive Coulomb correlation, which…

Superconductivity · Physics 2016-04-21 Bradraj Pandey , Sudipta Dutta , Swapan K. Pati

The nonlinear electronic transport properties of a ballistic Aharonov-Bohm ring are investigated. It is demonstrated how the electronic interaction breaks the phase rigidity in a two-probe mesoscopic device as the voltage bias is increased.…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Alexis R. Hernández , Caio H. Lewenkopf

The Aharonov-Bohm (A-B) effect showed that the phase of electron wave pattern could be changed by the excluded electromagnetic field, the region where electromagnetic field is zero. This apparent non-local effect has been explained by…

Quantum Physics · Physics 2021-05-18 Jay Solanki

We address the quantum dot phase measurement problem in an open Aharonov-Bohm interferometer, assuming multiple transport channels. In such a case, the quantum dot is characterized by more than one intrinsic phase for the electrons…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Ţolea , M. Niţă , A. Aldea

In the Aharonov-Bohm setup, a double-slit experiment, when a long but thin solenoid of current is introduced between the two coherent beams of electrons behind the slits, an extra phase difference between the interfering beams appears, as…

Quantum Physics · Physics 2025-10-17 Ashok K. Singal

We use the Landauer-B\"{u}ttiker formalism to study the mesoscopic Fano effect in Aharonov-Bohm rings with an embedded two-dimensional noninteracting dot. The magnetic field dependence of the dot levels leads to a global shift of the Fano…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Valeriu Moldoveanu , Mugurel Ţolea , Vidar Gudmundsson , Andrei Manolescu

We investigate the conductance of an Aharonov-Bohm (AB) interferometer coupled to a quantum dot and two Majorana bound states on the edge of the topological superconductor with finite length. When the tunnel couplings between the Majorana…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Akiko Ueda , Takehito Yokoyama

In this paper we study the quantum dynamics of an electron/hole in a two-dimensional quantum ring within a spherical space. For this geometry, we consider a harmonic confining potential. Suggesting that the quantum ring is affected by the…

Quantum Physics · Physics 2020-01-08 A. L. Silva Netto , B. Farias , J. Carvalho , C. Furtado