Quantum Information of the Aharanov-Bohm Ring with Yukawa Interaction in the Presence of Disclination

Entropy (Basel). 2022 Jul 31;24(8):1059. doi: 10.3390/e24081059.

Abstract

We investigate quantum information by a theoretical measurement approach of an Aharanov-Bohm (AB) ring with Yukawa interaction in curved space with disclination. We obtained the so-called Shannon entropy through the eigenfunctions of the system. The quantum states considered come from Schrödinger theory with the AB field in the background of curved space. With this entropy, we 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.

Keywords: Aharanov–Bohm ring; Schrödinger equation; Shannon entropy; quantum information.