Fisher information and quantum entropies of a 2D system under a non-central scalar and a vector potentials

TL;DR

This paper investigates how various quantum information measures behave in a 2D quantum system influenced by a non-central potential and Aharonov-Bohm effect, revealing how system parameters affect particle localization and precision.

Contribution

It provides a detailed analysis of Fisher information and quantum entropies in a 2D system with non-central potentials and AB effect, highlighting parameter-dependent behaviors.

Findings

Fisher information increases with dissociation energy

Shannon, Tsallis, and Renyi entropies decrease with dissociation energy

Entropies increase with dipole moment, AB potential strength, and quantum numbers

Abstract

We study the two dimensional system influenced by a non-central potential consisting of a Kratzer potential with a dipole moment, along with a vector potential of the Aharonov-Bohm (AB) effect. We explore various information theoretic measures, including Fisher information, Shannon entropy, Tsallis entropy and Renyi entropy. our numerical results show that the Fisher information increases with an increase in dissociation energy and decreases with rinsing dipole moment, AB potential strength, and both radial and angular quantum numbers. In contrast, the Shannon entropy, the Tsallis entropy and the Renyi entropy decrease with rising dissociation energy, while they increase with an increase in dipole moment, AB potential strength, as well as radial and angular quantum numbers. These observations collectively indicate that both precision and localization of particles in space are enhanced by the increasing of the dissociation energy while they are reduced when we increase the dipole moment, the AB potential strength, and both the radial and angular quantum numbers.