• Accepted Paper

Engineered diabatic transition under arbitrarily slow evolution via phase-difference manipulation

Oubo You, Zhaoqi Jiang, Jinhui Shi, Qing Dai, Chunying Guan, and Shuang Zhang

Phys. Rev. Lett. - Accepted 11 September, 2026

DOI: https://doi.org/10.1103/ntgm-dshb

Abstract

The quantum adiabatic theorem states that a gapped system follows its instantaneous eigenstate during sufficiently slow evolution. We demonstrate that adiabaticity can fail even in arbitrarily slow, resonance-free processes. Introducing Instantaneous Transition Accumulation (ITA) and Instantaneous Transition Probability (ITP)—parameters capturing cross-Berry connections and eigenstate amplitudes—we reveal overlooked dynamic-geometric mechanisms driving transitions. Using a new Phase Difference Manipulation (PDM) method, we control ITP and ITA to induce adiabaticity violation in a Landau-Zener (LZ) process. We experimentally demonstrate this counterintuitive phenomenon in a photonic waveguide system, where a slow LZ process defies adiabaticity, switching energy levels despite a fivefold slower evolution speed than a conventional adiabatic process. This discovery reshapes our understanding of quantum evolution and holds potential for quantum computing, topological physics, and photonic technologies.

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