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.

arXiv comment8 pages, 4 figures. submitted to Phys.Rev.A

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Cited by in corpus (4)

• Interaction-induced multiparticle bound states in the continuum
• Topological Floquet bound states in the continuum
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Edge states in quantum spin chains: the interplay among interaction, gradient magnetic field and Floquet engineering