Zhu, BoKe, YongguanLiu, WenjieZhou, ZhengZhong, Honghua2022-10-062022-10-062469-9926http://hdl.handle.net/1885/274313We study the Floquet-surface bound states embedded in the continuum (BICs) and bound states out the continuum in a resonantly driven one-dimensional tilted defect-free lattice. In contrast to fragile single-particle BICs assisted by specially tailored potentials, we find that Floquet-surface BICs, stable against structural perturbations, can exist in a wide range of parameter space. By using a multiple-time-scale asymptotic analysis in the high-frequency limit, the appearance of Floquet-surface bound states can be analytically explained by effective Tamm-type defects at boundaries induced by the resonance between the periodic driving and tilt. The phase boundary of existing Floquet-surface states is also analytically given. Based on the repulsion effect of surface states, we propose to detect transition points and measure the number of Floquet-surface bound states by quantum walk. Our work opens a door to experimental realization of BICs in a quantum system.This work is supported by the National Natural Science Foundation of China under Grant No. 11805283, the Hunan Provincial Natural Science Foundation under Grants No. 2019JJ30044 and No. 2019JJ40060, the Scientific Research Fund of Hunan Provincial Education Department under Grant No. 19A510, the Training program of young teachers under Grant No. 31610035, and the Talent project of Central South University of Forestry and Technology under Grant No. 2017YJ035. Y.K. is partially supported by the Office of China Postdoctoral Council (Grant No. 20180052), the National Natural Science Foundation of China (Grant No. 11904419), and the Australian Research Council (Grant No. DP200101168).application/pdfen-AU© 2020 American Physical Society202010.1103/PhysRevA.102.0233032021-11-28