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

2023/05/05 by F. C. E. Lima, F C E Lima, A R P Moreira +7 · 2 citations
Physics and Astronomy · Computer Science · #Quantum and electron transport phenomena #stochastic dynamics and bifurcation #Quantum Information and Cryptography

paper · doi:10.1088/1402-4896/acd309

Abstract

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 field. 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 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.

Citations

• The static metrics with cylindrical symmetry describing a model of cosmic strings
• Shannon information entropy for a hyperbolic double‐well potential
• Quantum information entropy of Eckart potential

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