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Quantum State Boundary Phase Transition (QSBT)

Jincheng Zhang

Published Aug 17, 2026• 0 citations
Publisher

Abstract

This paper introduces the concept of Quantum State Boundary Phase Transition (QSBT), a novel theoretical framework proposing that phase transitions can occur not only at fixed points of Hamiltonian systems, but also at boundaries within the Hilbert space of a quantum system. Specifically, we hypothesize that the partial derivative of the wavefunction, [∂ψ], at a boundary represents a critical point where a phase transition can initiate or be amplified. The core of this theory rests on the observation that quantum systems, particularly in topologically complex environments, exhibit emergent behaviors that defy traditional phase transition models. We explore the potential of QSBT within topological quantum systems, suggesting it could lead to the discovery of entirely new quantum phases. This work lays the foundation for a paradigm shift in our understanding of phase transitions, with the potential to unlock significant advancements in quantum materials research and fundamental physics. The presented model offers a mechanism for understanding transitions driven by boundary conditions, offering a pathway to predict and control novel quantum phenomena. ---

DOI
10.5281/zenodo.21975454

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