First-order coherent quantum Zeno dynamics and its appearance in tight-binding chains

The coherent quantum Zeno dynamics (QZD) is a special unitary time evolution in which a quantum population transition gets constrained in a subspace of the entire Hilbert space. We show that coherent QZD can be categorized by orders for the first time, where only the zeroth-order type has been well investigated. In this paper, we focus on the little-known first-order coherent QZD (FC-QZD). We also construct some chain-like systems described by the tight-binding model which establishes FC-QZD in the form of a surprisingly nonlocal end-to-end population transition.