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Bibliographic Details
Main Author: Campbell, JTM
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.02690
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author Campbell, JTM
author_facet Campbell, JTM
contents This article explores the application of the path integral formalism in describing synchronization phenomena in entangled networks, cavities, and reservoirs. We discuss the concept of using Lagrangian mechanics for systems undergoing synchronization and its connection to least-action principles. By replacing the concept of least action with a least signaling term, we investigate how the path integral representation can be applied to study synchronization dynamics in entangled networks, drawing parallels with coupled oscillators in phase space models such as the Kuramoto model, as well as its relation to algorithms, such as the firefly algorithm for potential use in optimization in networks. This article also illustrates how entanglement signals themselves can interact strongly with ordered systems of harmonic oscillators that reach thresholds of classical synchronization with potential therefore for using entangled signals as weak measurement probes where phase dynamics is of interest.
format Preprint
id arxiv_https___arxiv_org_abs_2408_02690
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Using The Path Integral Formalism to Interpret Synchronization in Quantum Graph Networks
Campbell, JTM
Quantum Physics
This article explores the application of the path integral formalism in describing synchronization phenomena in entangled networks, cavities, and reservoirs. We discuss the concept of using Lagrangian mechanics for systems undergoing synchronization and its connection to least-action principles. By replacing the concept of least action with a least signaling term, we investigate how the path integral representation can be applied to study synchronization dynamics in entangled networks, drawing parallels with coupled oscillators in phase space models such as the Kuramoto model, as well as its relation to algorithms, such as the firefly algorithm for potential use in optimization in networks. This article also illustrates how entanglement signals themselves can interact strongly with ordered systems of harmonic oscillators that reach thresholds of classical synchronization with potential therefore for using entangled signals as weak measurement probes where phase dynamics is of interest.
title On Using The Path Integral Formalism to Interpret Synchronization in Quantum Graph Networks
topic Quantum Physics
url https://arxiv.org/abs/2408.02690