A Kuramoto Model for the Bound State Aharonov-Bohm Effect
Alviu Rey Nasir, Jos\'e Lu\'is Da Silva, Jingle Magallanes, Herry, Pribawanto Suryawan, Roshin Marielle Nasir-Britos
TL;DR
This paper introduces a Kuramoto model to describe the phase dynamics of an electron's bound state in an Aharonov-Bohm potential, linking quantum mechanics with synchronization theory.
Contribution
It derives a novel Kuramoto model specifically tailored for the phase behavior of electrons in Aharonov-Bohm systems, bridging quantum physics and coupled oscillator models.
Findings
The model captures phase synchronization phenomena in quantum bound states.
It provides a new framework for analyzing quantum phase coherence.
Potential applications in quantum control and quantum information processing.
Abstract
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.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation