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Bound states in the continuum (BICs) are generally considered unusual phenomena. In this work, we provide a method to analyze the spatial structure of particle's bound states in the presence of a minimal length, which can be used to find…

Quantum Physics · Physics 2020-04-23 Zhang Xiao , Yang Bo , Wei Chaozhen , Luo Maokang

Bound states in the continuum (BICs) have been thoroughly investigated due to their formally divergent Q-factor, especially those emerging in all-dielectric, nanostructured metasurfaces from symmetry protection at the $\Gamma$ point…

Optics · Physics 2022-03-31 Diego R. Abujetas , Jorge Olmos-Trigo , José A. Sánchez-Gil

Quantum mechanical interaction potentials typically support either localized bound states below the dissociation threshold or delocalized scattering states above it. While bound states are energetically isolated, scattering states embed a…

Bound states in the continuum (BICs) are an excellent platform enabling highly efficient light-matter interaction in applications for lasing, nonlinear generation, and sensing. However, the current focus in implementing BICs has primarily…

Bound states in the continuum (BICs) enable unique features in tailoring light-matter interaction on nanoscale. These radiationless localized states drive theoretically infinite quality factors and lifetimes for modern nanophotonics, making…

We study bound states embedded into the continuum of edge states in two-dimensional topological insulators. These states emerge in the presence of a short-range potential of a structural defect coupled to the boundary. In this case the edge…

Mesoscale and Nanoscale Physics · Physics 2015-07-09 Vladimir A. Sablikov , Aleksei A. Sukhanov

Bound states in the continuum (BIC) have been studied mainly in optics. Recently, electronic BIC have been proposed. They appear as points in the momentum space and are protected topologically by the Chern number. In this study, we propose…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Manabu Takeichi , Shuichi Murakami

We reveal that finite-size solid acoustic resonators can support genuine bound states in the continuum (BICs) completely localized inside the resonator. The developed theory provides the multipole classification of such BICs in the…

Classical Physics · Physics 2022-03-14 Ilya Deriy , Ivan Toftul , Mihail Petrov , Andrey Bogdanov

We show theoretically that it is possible to create and manipulate a pair of bound states in continuum in ultracold atoms by two lasers in the presence of a magnetically tunable Feshbach resonance. These bound states are formed due to…

Atomic and Molecular Clusters · Physics 2016-09-15 Bimalendu Deb , G. S. Agarwal

The photonic bound state in the continuum (BIC) is discovered in a hybrid photonic circuit with low refractive index waveguide on a high refractive index thin membrane, where the optical dissipation is forbidden because of the destructive…

We consider bound states in the continuum (BICs) in a 1D multilayered system of an anisotropic defect layer embedded into an anisotropic photonic crystal. We analytically demonstrate that an anisotropic defect layer embedded into…

Optics · Physics 2022-03-23 Pavel S. Pankin , Dmitrii N. Maksimov , Ivan V. Timofeev

On a lossless periodic dielectric structure sandwiched between two homogeneous media, bound states in the continuum (BICs) with real frequencies and real Bloch wavevectors may exist, and they decay exponentially in the surrounding…

Optics · Physics 2020-01-15 Zhen Hu , Lijun Yuan , Ya Yan Lu

Bound states in the continuum (BICs) have greatly impacted our ability to manipulate light-matter interaction at the nanoscale. However, in periodic structures, BICs are typically realized below the diffraction limit, thus leaving a broad…

Optics · Physics 2026-01-13 Ji Tong Wang , Nicolae C. Panoiu

It is known that the superposition of two bound states in the continuum (BIC) leads to the phenomenon of an oscillating bound state, where excitations mediated by the continuum modes oscillate persistently. We perform exact calculations for…

Quantum Physics · Physics 2023-02-20 Kian Hwee Lim , Wai-Keong Mok , Leong-Chuan Kwek

A bound state in the continuum (BIC) on a periodic structure sandwiched between two homogeneous media is a guided mode with a frequency and a wavenumber such that propagating plane waves with the same frequency and wavenumber exist in the…

Pattern Formation and Solitons · Physics 2021-01-01 Lijun Yuan , Ya Yan Lu

Bound states in the continuum (BICs) represent localized modes with energies embedded in the continuous spectrum of radiating waves. BICs were discovered initially as a mathematical curiosity in quantum mechanics, and more recently were…

We present simple yet extremely accurate coupled-wave models describing the formation of bound states in the continuum (BICs) in 1D-periodic guided-mode resonant gratings (GMRGs) consisting of a slab waveguide layer with a binary grating…

Optics · Physics 2019-06-12 Dmitry A. Bykov , Evgeni A. Bezus , Leonid L. Doskolovich

We study a class of bound states in the continuum (BICs) in all-dielectric periodic structures, near which resonant states approach ideal circularly polarized states (CPSs). We term these BICs {\em asymptotically circularly polarized BICs}…

Optics · Physics 2025-11-18 Nan Zhang , Ya Yan Lu

Bound states in the continuum (BICs) refer to physical states that possess intrinsic zero dissipation loss even though they are located in the continuous energy spectrum. BICs have been widely explored in optical and acoustic structures,…

Applied Physics · Physics 2021-09-21 Yue Yu , Xiang Xi , Xiankai Sun

Bound states in the continuum (BICs) are quantum states that remain localized despite existing within a continuum of extended, delocalized states. They defy conventional wave theories and could be instrumental for quantum technologies that…