Quantum information of the Aharanov-Bohm ring with Yukawa interaction in the presence of disclination

TL;DR

This paper explores how quantum information, measured by Shannon entropy, is affected by magnetic fields, flux, and topological defects in an Aharanov-Bohm ring with Yukawa interaction within curved space, revealing the influence of geometry and fields on quantum states.

Contribution

It introduces a theoretical approach to analyze quantum information in a curved space Aharanov-Bohm ring with Yukawa interaction, incorporating effects of topological defects and magnetic flux.

Findings

Quantum states are influenced by magnetic field, flux, and disclination.

Quantum information entropy varies with topological defects and external fields.

The study connects geometry and quantum information in curved space systems.

Abstract

We investigate the quantum information by a theoretical measurement approach of an Aharanov-Bohm (AB) ring with Yukawa interaction in curved space with disclination. It obtained the so-called Shannon entropy, through the eigenfunctions of the system. The quantum states considered come from a Schroedinger theory with the AB field in the background of curved space. With this entropy, it can explore the quantum information at the position space and reciprocal space. Furthermore, we discussed how the magnetic field, the AB flux, and the topological defect influence the quantum states and the information entropy.