Quantum-Classical Hybrid Dynamics
Jincheng Zhang
Abstract
This paper investigates the development of a dynamic framework for quantum systems, explicitly modeling the interplay between quantum and classical behavior. We propose a 'hybrid' approach, leveraging a 'quantum-classical coherence matrix' to dynamically adjust quantum states in response to classical influences, effectively creating a continuous evolution. The core mechanism centers around maintaining a persistent, evolving state, bridging the gap between the deterministic nature of quantum mechanics and the often-ambiguous behavior of classical systems. The resulting model offers a novel perspective on complex systems, potentially facilitating a deeper understanding of phenomena like phase transitions, emergent behavior, and the limits of classical predictability. This research explores the potential of this framework for applications in quantum computing, materials science, and fundamental physics.