摘要: Photonic lattices have been widely used for simulating quantum physics, owing
to the similar evolutions of paraxial waves and quantum particles. However,
nonparaxial wave propagations in photonic lattices break the paradigm of the
quantum-optical analogy. Here, we reveal that nonparaxiality exerts stretched
and compressed forces on the energy spectrum in the celebrated
Aubry-Andre-Harper model. By exploring the mini-gaps induced by the finite size
of the different effects of nonparaxiality, we experimentally present that the
expansion of one band gap supports the adiabatic transfer of boundary states
while Landau-Zener transition occurs at the narrowing of the other gap, whereas
identical transport behaviors are expected for the two gaps under paraxial
approximation. Our results not only serve as a foundation of future studies of
dynamic state transfer but also inspire applications leveraging nonparaxial
transitions as a new degree of freedom.