Title: Non-Linear Diffusion in Quantum Field Theory - Controlled Decoherence

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum field theory, a cornerstone of modern physics, deals with the behavior of quantum fields, which permeate all space and time. However, the inherent nature of quantum systems, particularly their sensitivity to environmental interactions, poses a significant challenge to precisely controlling their evolution. Non-linear diffusion, a phenomenon where the rate of field propagation changes with the field itself, has long been a focus of research, offering a pathway to explore complex quantum dynamics. This paper investigates the application of a novel non-linear diffusion mechanism – the "wave function gradient" – to facilitate controlled propagation of quantum fields. We present a new theoretical framework and a preliminary numerical simulation demonstrating the potential for manipulating quantum states through this approach. The core claim is that this method enables the creation of novel quantum states and phenomena, offering a pathway to enhanced quantum control and potentially revolutionary advances in quantum technologies.

DOI: 10.5281/zenodo.22513384

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