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The gravitational interaction between a massive particle and a spinning particle in the weak-field limit is studied. We show that a system of a spinning point-like particle and a massive rod exhibit a topological effect analogous to the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Benni Reznik

The Aharonov-Bohm (AB) effect is a purely quantum mechanical effect. The original (classified as Type-I) AB-phase shift exists in experimental conditions where the electromagnetic fields and forces are zero. It is the absence of forces that…

Quantum Physics · Physics 2009-11-13 Adam Caprez , Brett Barwick , Herman Batelaan

The matrix-valued Aharonov-Casher phase factor $F_{\text{AC}}$ (related to the c-number Aharonov-Casher phase $\lambda_{\text{AC}}$) plays an important role in the physics of mesoscopic systems in which spin-orbit coupling is relevant. Yet,…

Mesoscale and Nanoscale Physics · Physics 2019-07-15 Yshai Avishai , Keisuke Totsuka , Naoto Nagaosa

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,…

Quantum Physics · Physics 2022-09-23 Xiang Li , Thors Hans Hansson , Wei Ku

We construct a classical action for a system of $N$ point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and develop a quantum mechanics for them. Adopting the coherent state…

High Energy Physics - Theory · Physics 2009-10-22 Taejin Lee , Phillial Oh

We consider a model describing a spin field-effect transistor based on a quantum nanowire with a tunable spin-orbit interaction embedded between two ferromagnetic leads with anticollinear magnetization. We investigate a regime of a strong…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 A. V. Parafilo , L. Y. Gorelik , M. N. Kiselev , H. C. Park , R. I. Shekhter

We predict the force-free scalar Aharonov-Bohm effect of a Cooper pair box in an electric field at a distance without forming a closed path of the interfering charges. The superposition of different charge states plays a major role in…

Mesoscale and Nanoscale Physics · Physics 2018-11-02 Young-Wan Kim , Kicheon Kang

The nonlocal and topological nature of the molecular Aharonov-Bohm (MAB) effect is examined for real electronic Hamiltonians. A notion of preferred gauge for MAB is suggested. The MAB effect in the linear + quadratic $E\otimes \epsilon$…

Quantum Physics · Physics 2015-06-26 Erik Sjöqvist

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…

Quantum Physics · Physics 2026-04-09 Manvendra Somvanshi , D. Jaffino Stargen

In this letter we study the Aharonov-Bohm problem for a spin-1/2 particle in the quantum deformed framework generated by the $\kappa$-Poincar\'{e}-Hopf algebra. We consider the nonrelativistic limit of the $\kappa$-deformed Dirac equation…

High Energy Physics - Theory · Physics 2013-02-07 F. M. Andrade , E. O. Silva

The gauge covariance of the wave function phase factor in noncommutative quantum mechanics (NCQM) is discussed. We show that the naive path integral formulation and an approach where one shifts the coordinates of NCQM in the presence of a…

High Energy Physics - Theory · Physics 2008-11-26 Masud Chaichian , Miklos Långvik , Shin Sasaki , Anca Tureanu

We show that there is an anologous Aharonov-Casher effect on a neutral particle with electric dipole moment interacting with a magnetic filed produced by magnetic monopoles.

High Energy Physics - Phenomenology · Physics 2009-10-22 Xiao-Gang He , B. H. J. McKellar

In this work bound states for the Aharonov-Casher problem are considered. According to Hagen's work on the exact equivalence between spin-1/2 Aharonov-Bohm and Aharonov-Casher effects, is known that the $\boldsymbol{\nabla}\cdot\mathbf{E}$…

Quantum Physics · Physics 2013-04-25 E. O. Silva , F. M. Andrade , H. Belich , C. Filgueiras

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

We study the effects of noncommutativity of spacetime with mixed spatial and spin degrees of freedom in a relativistic context. Using the Dirac equation in (3+1) dimensions and in a symmetric gauge, we calculate the invariant amplitude for…

High Energy Physics - Theory · Physics 2019-05-30 C. A. Stechhahn

The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives non-trivial kinematical corrections that will produce a diffraction pattern…

High Energy Physics - Theory · Physics 2009-11-07 H. Falomir , J. Gamboa , M. Loewe , F. Mendez , J. C. Rojas

We propose a two-path vortex interferometry experiment based on the Aharonov-Casher effect for detecting the non-Abelian nature of vortices in a chiral p-wave superconductor. The effect is based on observing vortex interference patterns…

Superconductivity · Physics 2011-08-08 Eytan Grosfeld , Babak Seradjeh , Smitha Vishveshwara

An atomic analogue of Landau quantization based on the Aharonov-Casher (AC) interaction is developed. The effect provides a first step towards an atomic quantum Hall system using electric fields, which may be realized in a Bose-Einstein…

Quantum Physics · Physics 2009-11-07 Marie Ericsson , Erik Sjoqvist

The Aharonov-Bohm-Casher problem is examined for a charged particle describing a circular path in presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field. It were evaluated the particle eigenenergies,…

High Energy Physics - Theory · Physics 2011-07-08 H. Belich , E. O. Silva , M. M. Ferreira , M. T. D. Orlando

It is argued that the Aharonov-Casher set up could be used as the basic building block for quantum computation. We demonstrate explicitly in this scenario one- and two-qubit phase shift gates that are fault tolerant to deformations of the…

Quantum Physics · Physics 2016-08-16 Marie Ericsson , Erik Sjöqvist