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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

Bound states in the continuum (BICs) emerge throughout Physics as leaky/resonant modes that remain however highly localized. They have attracted much attention in Optics and Photonics, and especially in metasurfaces, i.e. planar arrays of…

Phonon trapping has an immense impact in many areas of science and technology, from the antennas of interferometric gravitational wave detectors to chip-scale quantum micro- and nano-mechanical oscillators. It usually relies on the…

Mesoscale and Nanoscale Physics · Physics 2020-10-22 Hao Tong , Shengyan Liu , Mengdi Zhao , Kejie Fang

We study transport properties of an arbitrary two terminal Hermitian system within a tight-binding approximation and derive the expression for the transparency in the form, which enables one to determine exact energies of perfect (unity)…

Other Condensed Matter · Physics 2017-12-06 A. A. Gorbatsevich , N. M. Shubin

Recent studies have demonstrated that ultrahigh-$Q$ resonances, which are robust to fabrication imperfections, can be realized by merging multiple bound states in the continuum (BICs) in momentum space. The merging of multiple BICs holds…

Optics · Physics 2024-06-06 Sun-Goo Lee , Seong-Han Kim , Wook-Jae Lee

In this article, we study the formation of the bound states in the continuum (BICs) in a two-channel Fano-Anderson model. We employ the Green's function formalism, together with the equation of motion method, to analyze the relevant…

Mesoscale and Nanoscale Physics · Physics 2022-08-04 Bastián Grez , Juan Pablo Ramos-Andrade , Vladimir Juričić , Pedro A. Orellana

We investigate the formation of photonic bound states in the continuum (BICs) in photonic crystal slabs from an analytical perspective. Unlike the stationary at-$\Gamma$ BICs which origin from the geometric symmetry, the tunable…

Optics · Physics 2014-07-22 Yi Yang , Chao Peng , Yong Liang , Zhengbin Li , Susumu Noda

We propose and theoretically and numerically investigate narrowband integrated filters consisting of identical resonant dielectric ridges on the surface of a single-mode dielectric slab waveguide. The proposed composite structures operate…

Optics · Physics 2019-07-10 Leonid L. Doskolovich , Evgeni A. Bezus , Dmitry A. Bykov

Metasurfaces with bound states in the continuum (BICs) have proven to be a powerful platform for drastically enhancing light-matter interactions, improving biosensing, and precisely manipulating near- and far-fields. However, engineering…

Optical metasurfaces have revolutionized analog computing and image processing at sub-wavelength scales with faster speed and lower power consumption. They typically involve spatial differentiation with engineered angular dispersion.…

Bound states in the continuum (BICs) and exceptional points (EPs) have been the subjects of recent intensive research as they exhibit exotic phenomena that are significant for both fundamental physics and practical applications. We…

Optics · Physics 2020-08-26 Ryo Kikkawa , Munehiro Nishida , Yutaka Kadoya

We develop a theory of bound states in the continuum (BICs) in multipolar lattices -- periodic arrays of resonant multipoles. We predict that BICs are completely robust to changes in lattice parameters remaining pinned to specific…

Flat-band bound states in the continuum (BICs) are topological states with suppressed group velocity and robustness against radiation loss, offering a powerful platform for the exploration of non-Hermitian, nonlinear, topological phenomena…

Optics · Physics 2026-01-26 Fuhuan Shen , Jiahao Ren , Zhiyi Yuan , Kai Wu , Sai Yan , Kunal Parasad , Hai Son Nguyen , Rui Su

Bound states in the continuum (BICs) are spatially localized modes embedded in the spectrum of extended states, typically stabilized by symmetry or interference. While extensively studied in single-particle and linear systems, the many-body…

Quantum Physics · Physics 2025-11-25 Walter Rieck , Anton Frisk Kockum , Guangze Chen

We present a two-dimensional photonic crystal design with a microcavity of four defect dielectric rods with eigenfrequencies residing in the propagating band of directional waveguide. In the linear case for tuning of material parameters of…

Optics · Physics 2015-06-19 Evgeny N. Bulgakov , Almas F. Sadreev

We show that the interplay between spin-orbit coupling and Zeeman splitting in atomic systems can lead to the existence of bound states in the continuum (BICs) supported by trapping potentials. Such states have energies falling well within…

Pattern Formation and Solitons · Physics 2017-09-21 Yaroslav V. Kartashov , Vladimir V. Konotop , Lluis Torner

We report the existence of algebraically localized eigenstates embedded within the continuum spectrum of 2D non-Hermitian systems with a single impurity. These modes, which we term algebraic states in continuum (AICs), decay algebraically…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Ao Yang , Kai Zhang , Chen Fang

We find the phase-controlled bound state out of the continuum~(BOC) and bound state in the continuum~(BIC) in an artificial giant atom dressed one-dimensional photonic waveguide where the giant atom couples to the waveguide via two distant…

Quantum Physics · Physics 2024-10-22 Xiaojun Zhang , Mingjie Zhu , Zhihai Wang

We address a two-dimensional parity-time (PT)-symmetric structure built as a chain of waveguides, where all waveguides except for the central one are conservative, while the central one is divided into two halves with gain and losses. We…

Tunable bound states in the continuum (BICs) in metasurfaces offer powerful opportunities to control light-matter interactions, yet the role of out-of-plane symmetry breaking remains poorly understood. Here, we reveal a mechanism that…

Optics · Physics 2026-05-12 Hao Song , Yanming Sun , Jian Li , Wanlin Wang , Ming Chun Tang