Ching-Hao Wang, Tzay-Ming Hong
One of the most fundamental differences between classical and quantum mechanics is observed in the particle tunneling through a localized potential: the former predicts a discontinuous transmission coefficient (T) as a function of incident velocity between one (complete penetration) and zero (complete reflection), while the latter always changes smoothly as a wave nature. Here we report a systematic study of the quantum tunneling property for a bright soliton in ultracold atoms, which behaves as a classical particle (matter wave) in the limit of small (large) incident velocity. In the intermediate regime, the classical and quantum properties are combined via a finite (but not full) discontinuity in the tunneling transmission coefficient. We demonstrate that the formation of a localized bound state is essential to describe such inelastic collisions, showing a nontrivial nonlinear effect on the quantum transportation of a bright soliton.
@article{d2fb3929-83fe-4bf2-b8c6-2b2220b972ec,
title={Particle wave duality in quantum tunneli},
author={Ching-Hao Wang and Tzay-Ming Hong},
year={2026},
language={en}
}TY - JOUR TI - Particle wave duality in quantum tunneli AU - Ching-Hao Wang AU - Tzay-Ming Hong PY - 2026 LA - en ER -
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