Title: Topological Entanglement Dynamics – Dynamic Phase Transition in Non-Equilibrium Systems

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

The emergence of topological entanglement, a fundamental phenomenon in condensed matter physics, is often overlooked in the context of complex, non-equilibrium systems. This research proposes a novel framework, "Phase-Steering," to quantify and control the dynamics of topological entanglement within such systems. We develop a continuous, dynamically evolving algorithm that analyzes real-time feedback to actively manipulate the topological structure of entanglement, offering a fundamentally new approach to understanding and potentially engineering topological phases. The core claim is that this method can facilitate the transition between distinct topological phases and provides a pathway for designing systems exhibiting enhanced robustness and adaptability. The work presented here details the algorithm's implementation, provides preliminary results demonstrating its effectiveness in simulating a specific non-equilibrium system, and discusses potential applications in materials science and quantum computing.

DOI: 10.5281/zenodo.22636064

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