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arXiv · 2005.08421

Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice

Bo Zhu·Yongguan Ke·Wenjie Liu·Zheng Zhou·Honghua Zhong
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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.

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Bo Zhu, Yongguan Ke, Wenjie Liu, Zheng Zhou, Honghua Zhong. 2020-05-18. Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice. https://doi.org/10.1103/physreva.102.023303

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