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Matter Wave Phase Topological Conversion (MWPTC)

Jincheng Zhang

Published Aug 17, 2026• 0 citations
Publisher

Abstract

Matter waves, as fundamental excitations of quantum systems, carry both amplitude and phase information that determines their interference properties. In this manuscript we introduce the concept of Matter Wave Phase Topological Conversion (MWPTC), a theoretical framework in which the phase field φ(x,t) of a matter wave undergoes a topological transformation from an initial class T1 to a distinct class T2. This conversion is driven by engineered external potentials and gauge fields that alter the global topological invariants of the wavefunction, such as winding number or Chern number, without changing local amplitude distributions. We construct a mathematical description of φ(x,t) in terms of a complex scalar field ψ(x,t) = |ψ| e^{iφ} and show how the topological charge Q = (1/2π)∮ ∇φ·dl can be modified by adiabatic evolution under a time‑dependent Hamiltonian H(t). The theory predicts that MWPTC can induce new quantum phases and potentially reveal previously inaccessible quantum phase transitions. We discuss implications for large molecule interferometry, quantum simulation, and topological quantum computing, and outline possible experimental realizations that would probe the topological conversion of matter wave phases.

DOI
10.5281/zenodo.21972759

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