Investigation of the Aharonov-Bohm and Aharonov-Casher Topological Phases for Quantum Entangled States in 2+1 Dimensions

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 (2)

• Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
• Relation between concurrence and Berry phase of an entangled state of two spin 1/2 particles

Cited by in corpus (4)

• Testing Bell-CHSH Inequalities Using topological Aharonov-Casher and He-McKellar-Wilkens Phases
• Time-dependent Aharonov-Bohm type topological effects on dipoles
• On the geometric phases in entangled states
• Concurrence-Driven Path Entanglement in Phase-Modified Interferometry