Title: Non-Linear Quantum Phase Transitions for Dynamical Systems Modeling

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper investigates the potential of non-linear quantum phase transitions as a novel framework for modeling dynamic systems. Dynamic systems often exhibit complex, emergent behavior, making traditional models inadequate. We propose a new conceptual model centered around a quantum process that dynamically alters the system's dynamics based on its state, aiming to predict and understand complex patterns. This research focuses on designing a quantum process that fundamentally shifts the system's state, triggering a cascade of effects across the system's various degrees of freedom. The core of this work lies in exploring the implications of such a quantum transition for modeling dynamical systems and predicting emergent behavior. We present a preliminary theoretical framework and explore potential mathematical representations, emphasizing the significance of this approach for advancing understanding of complex systems.

DOI: 10.5281/zenodo.22277082

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