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

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.

Quantum-information theory of magnetic field influence on circular dots with different boundary conditions

“…The information content of one-electron bulk and edge states of semiconductor HgTe-CdTe quantum wells in magnetic field was considered in the inverted regime [43]. Influence of the magnetic intensity B, Aharonov-Bohm flux and the topological defect on the position and momentum Shannon functionals was theoretically analyzed for the ring with Yukawa interaction in curved space with disclination [44]. Concerning our geometry, an attempt has been made to calculate the influence of the homogeneous field B on the Shannon entropies of the Dirichlet dot [45].…”

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

“…In this context, Shannon's entropy has performed a relevant role in several studies. For example, one can apply this approach in investigating Aharonov-Bohm rings [28], quantum systems with double-well potentials [34], hyperbolic interaction [42], position-dependent mass theories [51,53], and the Aharonov-Bohm effect [71].…”

“…Shannon's theory has been used in quantum mechanics to study information from physical systems [28][29][30][31]. In quantum theory, Shannon's theory is a theoretical measuring of the communication responsible for informing us of the measure of uncertainty in the position and momentum of the particle [29,30].…”

“…Some studies are found in the literature discussing the influence of the AB effect on the system eigenstates [54]. Furthermore, some studies were also performed on the information of quantum-mechanical systems with AB effect with a specific interaction [28]. However, as far as we know, no studies have been carried out purely studying the influence of the AB-type effect on the quantum information of a spinless particle.…”

Effects of Cosmic Dislocation on Non-Relativistic Quantum Particles with Interaction Potential and Thermodynamic Properties

“…On the other hand, in the non-relativistic limit, studies in the background of topological defect produced by a cosmic string are quantum dynamics of particle [42], quantum particles interacting with potentials [43,44], particles interacting with Coulomb and Harmonic oscillator potentials [45], quantum system of a neutron in a mean-field Woods-Saxon potential [46], confinement effects of Aharonov-Bohm (AB) flux and magnetic fields with screened modified Kratzer potential [47] and Hulthen potential [48], particles interacts with Coulomb ring shaped potential [49], particles confined by ABflux and magnetic fields with Yukawa potential [50,51], quantum motions of particles with trigonometric non-central potential [52], with pseudo Coulomb potential plus a new improved ring-shaped [53], quantum motions of particles with Pöschl-Teller double-ring shaped Coulomb and double-ring shaped oscillator potentials [54], quantum motions of particles with doubled ring-shaped Coulomb oscillator potential [55], solution of d-dimension time independent cosmic string equation for non-central potentials (Rosen-Morse, scarf II and scarf I) [56] and for Hyperbolic Scarf Plus Pöschl-Teller and Manning-Rosen Potentials [57], and quantum particles subjected to a magnetic field in a spinning cosmic string space-time [58]. In addition, the nonrelativistic wave equation with different potential in the background of topological defect produced by a point-like global monopole have been studied in [59][60][61][62][63].…”