Bridging Quantum Measurement and Classical Reaction Kinetics:A Large-Deviation Framework for Non-equilibrium State Localization
Abstract
How macroscopic, deterministic order emerges from microscopic systems governed by quantum and thermal fluctuations remains a central problem in non-equilibrium statistical mechanics. While classical reaction theories based on linear energy landscapes describe thermally activated processes, they do not fully account for the extreme state localization observed in complex systems such as molecular recognition. Here, we propose the Information-driven Quantum Geometric (IQG) model, a theoretical framework in which measurement-induced feedback modifies the effective free-energy landscape. By combining coarse-grained quantum dynamics with large deviation theory, we show that nonlinear information feedback induces a sharp geometric crossover—termed the Fidelity Cliff—marking a transition from fluctuation-dominated dynamics to deterministic state locking. Numerical analysis based on a nonlinear Fokker-Planck equation demonstrates the formation of a noise-suppressed metastable subspace (NSMS), where an emergent energy gap provides spectral protection against environmental noise. This mechanism ensures robust state localization despite continuous thermal perturbations. Our results establish a unified physical framework linking quantum measurement dynamics to classical reaction kinetics, providing a quantitatively testable mechanism for the emergence of macroscopic attractors in dissipative systems.
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