Work

A Kuramoto Model for the Bound State Aharonov–Bohm Effect

Year: 2024

Type: article

Abstract: The Aharonov–Bohm effect can be described as a phase difference in interfering charged particles that travel through two distinct pathways oppositely surrounding a perpendicularly-positioned solenoid. The magnetic field emanates from the solenoid but does not intersect the pathways. On the other hand, the Kuramoto model can be used to identify the synchronization conditions that lead to a particular phase difference by treating the phases as coupled oscillators. Starting with the overall wave function expression for the electron in an Aharonov–Bohm potential, we derive a version of the Kuramoto model describing the phase dynamics of the bound state of the quantum mechanical system. We show that the resulting synchronization condition of the model coincides with the allowable values of the flux parameter for our case to achieve an Aharonov–Bohm effect.

Source: Axioms

DOI: 10.3390/axioms13120828

Authors: Alviu Rey Nasir, José Luís Da Silva, Jingle Magallanes, Herry Pribawanto Suryawan, Roshin Marielle Nasir-Britos

Institutions: Mindanao State University – Iligan Institute of Technology, Universidade da Madeira, Sanata Dharma University

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funders: Fundação para a Ciência e a Tecnologia, Science Education Institute, Department of Science and Technology, Republic of the Philippines