Topological Hidden Variable Phenomena in Non-Equilibrium Quantum States

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper investigates the topological hidden variable phenomena in non-equilibrium quantum states, aiming to reveal the underlying topological structure of quantum states. We propose a framework that integrates quantum state description with topological space concepts, employing topological hidden variable theory to analyze the evolution of quantum states. Our approach provides a novel perspective on understanding the fundamental nature of quantum states, potentially leading to new insights into quantum entanglement and decoherence. We explore the mathematical formalism associated with this approach, focusing on the representation of quantum states as topological defects and the application of the Berry curvature to characterize their evolution. The central concept revolves around identifying and characterizing topological invariants that remain unchanged during the evolution of the quantum state, effectively revealing the inherent topological features. This work contributes to the emerging field of quantum topology and its applications in understanding complex quantum phenomena.

DOI: 10.5281/zenodo.22293754

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