Investigation of the Aharonov-Bohm and Aharonov-Casher Topological Phases for Quantum Entangled States in 2+1 Dimensions
arXiv:2108.03050 · doi:10.1016/j.physleta.2021.127753
Abstract
Aharonov-Bohm (AB) and Aharonov-Casher (AC) effects are treated fully relativistically in 2+1 dimensions. The influences of the relevant geometric and topological phases on an entangled spin-1/2 system are studied. It is shown that for the AC case the correlation function of the Clauser-Horne-Shimony-Holt (CHSH) inequality for certain choices of the spin measurements depends on the AC phase explicitly.
References in corpus (18)
- Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
- Topological phase due to electric dipole moment and magnetic monopole interaction
- Spin Hall effect and Berry phase of spinning particles
- Optical manipulation of Berry phase in a solid-state spin qubit
- Berry phase in a non-isolated system
- Geometric phases in quantum information
- Spin selective Aharonov-Bohm oscillations in a lateral triple quantum dot
- Berry phase in entangled systems: a proposed experiment with single neutrons
- The Dirac equation in general relativity, a guide for calculations
- Measuring geometric phase without interferometry
- Relation between concurrence and Berry phase of an entangled state of two spin 1/2 particles
- Geometric Phase in Entangled Systems: A Single-Neutron Interferometer Experiment
- Quantum anomaly and geometric phase; their basic differences
- Testing Leggett's Inequality Using Aharonov-Casher Effect
- Relativistic dipole interaction and the topological nature for induced HMW and AC phases
- New Aspects of Geometric Phases in Experiments with polarized Neutrons
- Magnetic Properties of Scalar Particles --The Scalar Aharonov-Casher Effect and Supersymmetry
- Effect of quantum entanglement on Aharonov-Bohm oscillations, spin-polarized transport and current magnification effect