The Aharonov Casher phase of a bipartite entanglement pair traversing a quantum square ring

TL;DR

This paper introduces a quantum square ring system that uses entanglement to generate, manipulate, and analyze the Aharonov-Casher phase, highlighting how entanglement simplifies the study of geometric phases in quantum systems.

Contribution

It presents a novel quantum square ring setup that leverages entanglement to control and observe non-Abelian geometric phases, reducing experimental complexity.

Findings

Maximal entanglement eliminates dynamic phases, isolating geometric phases.

Partial entanglement results in mixed geometric and dynamic phases depending on wavelength and size.

Entanglement simplifies the experimental investigation of geometric phases.

Abstract

We propose in this article a quantum square ring that conveniently generates, annihilates and distills the Aharonov Casher phase with the aid of entanglement. The non-Abelian phase is carried by a pair of spin-entangled particles traversing the square ring. At maximal entanglement, dynamic phases are eliminated from the ring and geometric phases are generated in discrete values. By contrast, at partial to no entanglement, both geometric and dynamic phases take on discrete or locally continuous values depending only on the wavelength and the ring size. We have shown that entanglement in a non-Abelian system could greatly simplify future experimental efforts revolving around the studies of geometric phases.