Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice
Abstract
We study the Floquet-surface bound states embedded in the continuum (BICs) and bound states out the continuum (BOCs)in a resonantly driven 1D 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 new door to experimental realization of BICs in quantum system.
Keywords
Cite
@article{arxiv.2005.08421,
title = {Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice},
author = {Bo Zhu and Yongguan Ke and Wenjie Liu and Zheng Zhou and Honghua Zhong},
journal= {arXiv preprint arXiv:2005.08421},
year = {2020}
}
Comments
8 pages, 4 figures. submitted to Phys.Rev.A