He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
arXiv:1502.07515 · doi:10.1142/S0129055X16500239
Abstract
From the effects of the Lorentz symmetry violation in the CPT-even gauge sector of Standard Model Extension, we establish a possible scenario where an analogue of the He-McKellar-Wilkens effect can stem from. Besides, we build quantum holonomies associated with the analogue of the He-McKellar-Wilkens effect and discuss a possible analogy with the holonomic quantum computation [P. Zanardi and M. Rasetti, Phys. Lett. A {\bf264}, 94 (1999)]. Finally, we investigate the dependence of the energy levels on the He-McKellar-Wilkens geometric phase induced by Lorentz symmetry breaking effects when the particle is confined to a hard-wall confining potential.
13 pages, no figure. arXiv admin note: substantial text overlap with arXiv:1412.5080
References in corpus (27)
- Electrodynamics with Lorentz-violating operators of arbitrary dimension
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Observation of Dirac Monopoles in a Synthetic Magnetic Field
- Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
- Prospects for Large Relativity Violations in Matter-Gravity Couplings
- Sensitive polarimetric search for relativity violations in gamma-ray bursts
- Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
- Global three-parameter model for neutrino oscillations using Lorentz violation
- New CP-violation and preferred-frame tests with polarized electrons
- Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
- Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
- Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
- A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
- Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources
- A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
- Probing Lorentz violation with Doppler-shift experiments
- Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
- CPT violation and B-meson oscillations
- An investigation of the -type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
- Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
- Radiative corrections in bumblebee electrodynamics
- Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
- Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
- Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms
- Understanding Lorentz violation with Rashba interaction
- Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
- Gupta--Bleuler's quantization of the anisotropic parity-even and CPT-even electrodynamics of standard model extension