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Physica A Statistical Mechanics and its Applications

Quantum decoherence due to non-linear dynamics of environment

Hiroto Kubotani, Takashi Okamura, Masa‐aki Sakagami

Published Apr 1, 1995• 18 citations
Publisher
DOI
10.1016/0378-4371(94)00297-7

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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.
Decoherence is traditionally viewed as a purely destructive process in quantum mechanics, primarily responsible for the loss of quantum information. However, this paper proposes and investigates a novel perspective: that decoherence can exhibit non-linear effects, significantly impacting the dynamical evolution of quantum systems. We construct a comprehensive quantum decoherence model, analyzing the intricate interactions between the decoherence process and the system's dynamics. Our analysis reveals the emergence of non-linear behavior during decoherence, providing a deeper understanding of the mechanism. Furthermore, we propose strategies for controlling these non-linear effects. The core claim of this paper is that decoherence is not merely a destructive mechanism, but a dynamic one capable of producing non-linear phenomena. This research offers a fundamental shift in the comprehension of decoherence's role and consequences within quantum systems.