Nonlinear Decoherence Modeling

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum systems often exhibit complex and unpredictable behavior, particularly concerning quantum entanglement and decoherence. Traditional models frequently fail to capture the nuanced effects of this phenomenon, leading to inaccurate predictions of system evolution and stability. This paper introduces a novel non-linear decoherence modeling framework, designed to address these limitations by explicitly incorporating non-linear interactions within the decoherence process. We propose a dynamic, multi-scale model that utilizes a tensor-based approach to represent quantum states and their evolution, incorporating a self-stabilizing feedback loop to mitigate decoherence. The framework's core mechanism involves characterizing the decoherence process as a complex, non-linear interaction between the quantum system and its environment, where the strength of this interaction is dynamically adjusted based on the system's state. We demonstrate the framework's efficacy through a series of simulations, showing improved predictions of quantum system stability and evolution compared to existing models.

DOI: 10.5281/zenodo.22252569

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