Related papers: On the role of induced electric field in the time-dependent Aharonov-Bohm effect

On the role of induced electric field in the time-dependent Aharonov-Bohm effect

URL: http://arxiv.org/abs/2511.07775v1
Date: Wed, 12 Nov 2025 01:17:16 GMT
Title: On the role of induced electric field in the time-dependent Aharonov-Bohm effect
Authors: Masashi Wakamatsu,
Abstract summary: The time-dependent Aharonov-Bohm (AB) effect even exists or not has been the subject of long-standing debate.<n>This paper re-investigates the role of the induced electric field with the utmost care.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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 is thought to give the AB-phase shift, how to treat the time-varying vector potential is highly nontrivial. Second, the time-varying magnetic flux generates induced electric field even outside the solenoid. In the present paper, motivated by a recent work by Gao, we re-investigate the role of the induced electric field with the utmost care. This analysis reveals a highly nontrivial effect of the induced electric field, which turns out to be useful for verifying the very existence of the time-dependent AB-effect.

Related papers

Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion [24.19286053407574]
In the lattice system, when the synthetic flux reaches a $pi$ phase along a closed loop under the synthetic gauge field, destructive interference occurs and gives rise to the localization phenomenon.<n>In the system where lattice sites possess internal structure and the underlying gauge field is non-Abelian, localization can also occur, forming the non-Abelian AB caging.<n>In contrast to the Abelian AB caging, we numerically observe that the non-Abelian AB caging occurs either when the interference matrix is nilpotent, or when the initial state is specifically set.
arXiv Detail & Related papers (2025-05-01T22:26:02Z)
Topological schemes in spacetime for the electrodynamic Aharonov-Bohm effect [0.0]
We consider different schemes for the electrodynamic Aharonov-Bohm (AB) effect introduced in Ref. [Phys. Rev. A $mathbf108$, 062218 (2023)
arXiv Detail & Related papers (2024-11-14T17:45:25Z)
On the time-dependent Aharonov-Bohm effect and the 4-dimensional Stokes theorem [0.0]
The time-dependent Aharonov-Bohm (AB) effect considers the situation in which the magnetic flux inside the solenoid changes time-dependently.<n>The difficulty originates from the fact that its theoretical analysis requires line-integrals of the time-dependent vector potential along paths in the 4-dimensional Minkowski space.
arXiv Detail & Related papers (2024-06-26T03:47:53Z)
Time-dependent Aharonov-Bohm type topological effects on dipoles [0.0]
We investigate time-dependent topological effects emerging in AB-type experimental setups. We first analyze the effects on magnetic dipoles moving in closed trajectories around the time-varying magnetic field source solenoid. Last, we discuss the characteristics of the topological effects by considering the identity and dualities between phases from an integrated perspective.
arXiv Detail & Related papers (2024-05-03T19:34:20Z)
Time-resolved quantum correlations in electronic noise [28.32223907511862]
We demonstrate experimentally how correlations of current fluctuations at two different times $t$ and $t+tau$ depend on the shape of $V(t)$. It demonstrates the counterpart of the ac Josephson effect in superconducting junctions, to a normal, non-superconducting mesoscopic device.
arXiv Detail & Related papers (2024-04-13T19:34:39Z)
Unveiling the Quantum Toroidal Dipole [41.99844472131922]
We present a complete quantum-mechanical formalism for the TD in a nanostructure.<n>We propose the first spectroscopic method for its direct measurement.<n>This provides a clear experimental blueprint to unveil, measure, and characterize this elusive third multipole moment.
arXiv Detail & Related papers (2024-01-26T13:31:32Z)
Is the Aharonov-Bohm phase shift for a non-closed path a measurable quantity ? [0.0]
We show that the origin of the AB-phase can be traced back to other part of our effective Hamiltonian. Based on the path-integral formalism with our effective Lagrangian, we explicitly demonstrate that the AB-phase shift for a non-closed path is not a gauge-variant quantity.
arXiv Detail & Related papers (2023-05-25T02:10:43Z)
Electrodynamic Aharonov-Bohm effect [0.0]
We propose an electrodynamic Aharonov-Bohm scheme where a nonzero AB phase difference appears even if the interferometer paths do not enclose a magnetic flux. In the proposal, the current in a solenoid outside the interferometer varies in time while the quantum particle is in a superposition state inside two Faraday cages.
arXiv Detail & Related papers (2023-02-28T13:07:24Z)
Gauge invariance of the local phase in the Aharonov-Bohm interference: quantum electrodynamic approach [0.0]
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 significant role of the potential has recently been challenged and are under debate. The quantum electrodynamic approach provides a microscopic picture of the characteristics of the interaction between a charge and an external field.
arXiv Detail & Related papers (2022-06-17T08:31:51Z)
Self-oscillating pump in a topological dissipative atom-cavity system [55.41644538483948]
We report on an emergent mechanism for pumping in a quantum gas coupled to an optical resonator. Due to dissipation, the cavity field evolves between its two quadratures, each corresponding to a different centrosymmetric crystal configuration. This self-oscillation results in a time-periodic potential analogous to that describing the transport of electrons in topological tight-binding models.
arXiv Detail & Related papers (2021-12-21T19:57:30Z)
Shear of the vector potential in the Aharonov-Bohm effect [0.0]
The Aharonov-Bohm (AB) effect is now largely considered to be a manifestation of geometric phase. We show that a local shear field provides a velocity-dependent, dynamic-phase interaction in the AB effect.
arXiv Detail & Related papers (2021-12-16T21:12:57Z)
Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time [30.03335724329084]
The effect from the parameters of space-time, the frequency of oscillator, the Cornell potential and the magnetic flux on the energy eigenvalues have been analyzed. We find an analogs effect for the bound states from the Aharonov-Bohm effect in our considered system.
arXiv Detail & Related papers (2021-06-23T06:48:42Z)
Quantum coherent spin-electric control in a molecular nanomagnet at clock transitions [57.50861918173065]
Electrical control of spins at the nanoscale offers architectural advantages in spintronics. Recent demonstrations of electric-field (E-field) sensitivities in molecular spin materials are tantalising. E-field sensitivities reported so far are rather weak, prompting the question of how to design molecules with stronger spin-electric couplings.
arXiv Detail & Related papers (2020-05-03T09:27:31Z)
Spin current generation and control in carbon nanotubes by combining rotation and magnetic field [78.72753218464803]
We study the quantum dynamics of ballistic electrons in rotating carbon nanotubes in the presence of a uniform magnetic field. By suitably combining the applied magnetic field intensity and rotation speed, one can tune one of the currents to zero while keeping the other one finite, giving rise to a spin current generator.
arXiv Detail & Related papers (2020-01-20T08:54:56Z)

This list is automatically generated from the titles and abstracts of the papers in this site.