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Matter-Wave Topological Compression (MWTC)

Jincheng Zhang

Published Aug 17, 2026• 0 citations
Publisher

Abstract

Matter waves, as fundamental excitations of quantum systems, exhibit remarkable coherence and interference properties. Conventional approaches to manipulating their spatial extent rely on external potentials or engineered scattering, but these methods are limited by diffraction and decoherence, especially for massive particles. This paper introduces a novel paradigm—Matter‑Wave Topological Compression (MWTC)—in which topological constraints are employed to achieve stable, irreversible compression of matter‑wave envelopes. The core mechanism is described by the transformation \psi(x) \rightarrow \psi_T(x), where \psi(x) denotes the free‑space wavefunction and \psi_T(x) represents the topologically engineered compressed state. We develop a rigorous mathematical framework based on nonlinear Schrödinger dynamics augmented by a topological boundary term, analyze stability criteria, and discuss the implications for macroscopic quantum phenomena. The MWTC scheme promises to push the operational limits of matter‑wave interferometry, enabling large‑mass interference experiments that could probe the quantum‑classical boundary and offer a pathway toward Nobel‑prize‑worthy breakthroughs.

DOI
10.5281/zenodo.21973088

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