Shear of the vector potential in the Aharonov-Bohm effect

• URL: http://arxiv.org/abs/2112.10611v2
• Date: Fri, 3 Feb 2023 20:24:54 GMT
• Title: Shear of the vector potential in the Aharonov-Bohm effect
• Authors: Keith J. Kasunic
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Aharonov-Bohm (AB) effect is now largely considered to be a manifestation of geometric phase. However, by decomposing the vector-potential gradient tensor into divergence, curl, and shear components, we isolate a field/charged-particle interaction that is not dependent on local electric and magnetic fields. We show that a local shear field provides a velocity-dependent, dynamic-phase interaction in the AB effect whose predictions are consistent with all known classes of AB experiments, including interference fringe shifts, the absence of time delays along the direction of propagation, and the possibility of lateral forces.

Related papers

• Nonlinearity-induced dynamical self-organized twisted-bilayer lattices in Bose-Einstein condensates [26.52467042417047]
  We propose a new scheme to realize a nonlinearity-induced dynamical self-organized twisted-bilayer lattice in an atomic Bose-Einstein condensate (BEC) The key idea here is to utilize the nonlinear effect from the intrinsic atomic interactions to couple different layers and induce a dynamical self-organized supercell structure. One of the interesting moir'e phenomena, i.e., the flat-band physics, is shown through investigating the dynamics of the wave packet of BEC.
  arXiv  Detail & Related papers  (2024-07-31T09:25:39Z)
• The quantum Hall effect under the influence of gravity and inertia: A unified approach [44.99833362998488]
  We examine how both the integer and the fractional quantum Hall effects behave under a combined influence of gravity and inertia. The general Hamiltonian for describing the combined effect of gravity, rotation and inertia on the electrons of a Hall sample is then built and the eigenstates are obtained.
  arXiv  Detail & Related papers  (2024-03-11T18:01:55Z)
• Unveiling the Quantum Toroidal Dipole in Nanosystems: Quantization, Interaction Energy, and Measurement [44.99833362998488]
  We investigate a quantum particle confined to a toroidal surface in the presence of a filiform current along the system's rotational axis. Our analysis reveals that the interaction between the particle and the current induces a non-zero toroidal dipole in the particle's stationary states.
  arXiv  Detail & Related papers  (2024-01-26T13:31:32Z)
• Gauge dependence of the Aharonov-Bohm phase in a quantum electrodynamics framework [0.0]
  The Aharonov-Bohm (AB) phase is usually associated with a line integral of the electromagnetic vector potential generated by an external current source, such as a solenoid. Recent attempts to explain the AB effect through the interaction between a charged particle and an external current, mediated by the exchange of quantum photons, have assumed that the AB phase shift is proportional to the change in interaction energy between the charged particle and the external current source. We critically examine this claim and demonstrate that the phase obtained through this approach is actually gauge-dependent and not an observable for a nonclosed path.
  arXiv  Detail & Related papers  (2023-05-23T12:24:02Z)
• 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)
• Energy level shift of quantum systems via the electric Aharonov-Bohm effect [0.0]
  A quantum system which picks up the Aharonov-Bohm phase is confined to a cage with a time varying, spatially uniform scalar potential. The electric and magnetic fields in this region are effectively zero for the entire period of the experiment.
  arXiv  Detail & Related papers  (2022-12-07T03:46:34Z)
• Wave manipulation via delay-engineered periodic potentials [55.41644538483948]
  We discuss the semi-classical transverse trapping of waves by means of an inhomogeneous gauge field. We show that, due to the Kapitza effect, an effective potential proportional to the square of the transverse derivative of the delay arises.
  arXiv  Detail & Related papers  (2022-07-27T11:45:32Z)
• 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)
• 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)
• Aharonov-Bohm effect with an effective complex-valued vector potential [0.0]
  In weak interactions with a post-selection of the source, the effective vector potential is, generally, complex-valued. This leads to new experimental protocols to detect the Aharonov-Bohm phase before the source is fully encircled.
  arXiv  Detail & Related papers  (2021-01-28T10:32:44Z)
• Non-Abelian Aharonov-Bohm Caging in Photonic Lattices [21.788288671239304]
  Aharonov-Bohm (AB) caging is the localization effect in translational-invariant lattices due to destructive interference induced by penetrated magnetic fields. We develop the non-Abelian AB caging concept by considering the particle localization in a 1D multi-component rhombic lattice with non-Abelian background gauge field.
  arXiv  Detail & Related papers  (2020-01-23T14:27:51Z)

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

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.