Quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect

TL;DR

This paper investigates how a dislocation defect affects the quantum information entropy of a particle confined in a cylindrical box under the Aharonov-Bohm effect, revealing the influence on eigenstates and quantum information.

Contribution

It introduces a study of quantum information entropy in a system with an Aharonov-Bohm-type effect and dislocation defect, highlighting their impact on eigenstates and entropy.

Findings

Dislocation defect influences eigenstates and quantum information entropy.

Quantum information entropy is affected by the Aharonov-Bohm-type effect.

Eigenstates are altered by the presence of dislocation defect.

Abstract

In this research article, we use the Shannon's formalism to investigate the quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect. For quantum information study, it is necessary to investigate the eigenstates of the quantum system, i. e., the wave functions and energies of the quantum states. We assumed that the particle is in principle, confined in a cylindrical box in the presence of an Aharonov-Bohm-type effect due to dislocation defect. Analysis of the quantum information entropy, reveals that the dislocation influences the eigenstates and, consequently, the quantum information of the system.