Generation and Stabilization of Bound States in the Continuum in Dissipative Floquet Optical Lattices

Fuente: arXiv
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Autores principales: Zhao, Yangchun, Wu, Hongzheng, Li, Xinguang, Li, Lei, Xiao, Jinpeng, Zeng, Zhao-Yun, Chen, Yajiang, Luo, Xiaobing
Formato: Preprint
Publicado: 2025
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author Zhao, Yangchun
Wu, Hongzheng
Li, Xinguang
Li, Lei
Xiao, Jinpeng
Zeng, Zhao-Yun
Chen, Yajiang
Luo, Xiaobing
author_facet Zhao, Yangchun
Wu, Hongzheng
Li, Xinguang
Li, Lei
Xiao, Jinpeng
Zeng, Zhao-Yun
Chen, Yajiang
Luo, Xiaobing
contents This paper investigates the generation and stabilization of bound states in the continuum (BICs) in a one-dimensional dissipative Floquet lattice. We find a different mechanism for the generation of stable BICs in the open one-dimensional lattice system, which stems from a peculiar dark Floquet state, a state with zero quasi-energy and negligible population on the lossy sites. Our results reveal that the evolutionary stability of BICs resulting from the dark Floquet state can be significantly enhanced, as evidenced by their very low decay rate, by increasing the driving frequency or, counterintuitively, increasing the dissipation strength. We further demonstrate that stable dark Floquet BICs can robustly persist even in nonlinear regimes. The existence of these stable dark Floquet BICs can be attributed to the role of higher-order correction terms in the effective Floquet Hamiltonian derived via the high-frequency expansion (HFE) method. Furthermore, we demonstrate that incorporating non-Hermitian dissipation can extend the parameter regime for the existence of BICs, and the dissipation-induced BICs can lead to complete reflection of wave packets. Our findings provide theoretical support for the experimental realization of stable BICs in dissipative quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06931
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generation and Stabilization of Bound States in the Continuum in Dissipative Floquet Optical Lattices
Zhao, Yangchun
Wu, Hongzheng
Li, Xinguang
Li, Lei
Xiao, Jinpeng
Zeng, Zhao-Yun
Chen, Yajiang
Luo, Xiaobing
Quantum Physics
This paper investigates the generation and stabilization of bound states in the continuum (BICs) in a one-dimensional dissipative Floquet lattice. We find a different mechanism for the generation of stable BICs in the open one-dimensional lattice system, which stems from a peculiar dark Floquet state, a state with zero quasi-energy and negligible population on the lossy sites. Our results reveal that the evolutionary stability of BICs resulting from the dark Floquet state can be significantly enhanced, as evidenced by their very low decay rate, by increasing the driving frequency or, counterintuitively, increasing the dissipation strength. We further demonstrate that stable dark Floquet BICs can robustly persist even in nonlinear regimes. The existence of these stable dark Floquet BICs can be attributed to the role of higher-order correction terms in the effective Floquet Hamiltonian derived via the high-frequency expansion (HFE) method. Furthermore, we demonstrate that incorporating non-Hermitian dissipation can extend the parameter regime for the existence of BICs, and the dissipation-induced BICs can lead to complete reflection of wave packets. Our findings provide theoretical support for the experimental realization of stable BICs in dissipative quantum systems.
title Generation and Stabilization of Bound States in the Continuum in Dissipative Floquet Optical Lattices
topic Quantum Physics
url https://arxiv.org/abs/2505.06931