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Related papers: Many-Body Bound States in the Continuum

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Bound states in the continuum (BICs), referring to spatially localized bound states with energies falling within the range of extended modes, have been extensively investigated in single-particle systems, leading to diverse applications in…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Na Sun , Weixuan Zhang , Hao Yuan , Xiangdong Zhang

Bound states in the continuum (BICs) are localized modes residing in the radiation continuum. They were first predicted for single-particle states, and became a general feature of many wave systems. In many-body quantum physics, it is still…

Quantum Physics · Physics 2024-10-28 Boning Huang , Yongguan Ke , Honghua Zhong , Yuri S. Kivshar , Chaohong Lee

In the framework of the Bose-Hubbard model, we show that two-particle surface bound states embedded in the continuum (BIC) can be sustained at the edge of a semi-infinite one-dimensional tight-binding lattice for any infinitesimally-small…

Strongly Correlated Electrons · Physics 2015-06-16 S. Longhi , G. Della Valle

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 investigate the occurrence of bound states in the continuum (BIC's) in serial structures of quantum dots coupled to an external waveguide, when some characteristic length of the system is changed. By resorting to a multichannel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Cattapan , P. Lotti

A bound state in the continuum (BIC) is an unusual localized state that is embedded in a continuum of extended states. Here, we present the general condition for BICs to arise from wave equation separability and show that the directionality…

Bound states in the continuum (BICs) are quantum states with normalizable wave functions and energies that lie within the continuous spectrum for which extended or dispersive states are also available. These special states, which have shown…

Mesoscale and Nanoscale Physics · Physics 2024-07-29 Ricardo Y. Díaz-Bonifaz , Carlos Ramírez

In this work, we investigate the bound states in the continuum (BIC) of a one-dimensional spin-1 flat band system. It is found that, when the potential is sufficiently strong, there exists an effective attractive potential well surrounded…

Quantum Gases · Physics 2022-07-12 Yi-Cai Zhang

On periodic structures, a bound state in the continuum (BIC) is a standing or propagating Bloch wave with a frequency in the radiation continuum. Some BICs (e.g., antisymmetric standing waves) are symmetry-protected, since they have…

Optics · Physics 2018-04-23 Lijun Yuan , Ya Yan Lu

We unveil the existence of two-particle bound state in the continuum (BIC) in a one-dimensional interacting nonreciprocal lattice with a generalized boundary condition. By applying the Bethe-ansatz method, we can exactly solve the…

Quantum Gases · Physics 2025-04-08 Yanxia Liu , Shu Chen

A bound state in the continuum (BIC) is a localized state of an open structure with access to radiation channels, yet it remains highly confined with, in theory, infinite lifetime and quality factor. There have been many realizations of…

We investigate the formation of three-body bound states in the continuum by tracing pole trajectories in the complex energy plane under variation of system parameters. Using a one-dimensional model of two identical bosons and a…

Quantum Physics · Physics 2026-01-19 Lucas Happ

Bound state in the continuum (BIC) and quasi-BIC represent a remarkable class of wave functions that disobey conventional intuition by exhibiting spatially localized modes embedded in the continuum spectrum. In recent years, these states…

Quantum Physics · Physics 2025-06-25 Zeyu Rao , Changling Zou , Yang Chen , Guangcan Guo , Ming Gong

Bound states in the continuum (BIC) are shown to exist in a single-level Fano-Anderson model with a colored interaction between the discrete state and a tight-binding continuum, which may describe mesoscopic electron or photon transport in…

Quantum Physics · Physics 2009-11-13 Stefano Longhi

Bound states in the continuum (BICs) have been extensively exploited to enhance light--matter interactions in metamaterials, yet their emergence and utility in multi-atom waveguide platforms remain far less explored. Here we study…

Quantum Physics · Physics 2025-12-09 Xiang Guo , Xiaojun Zhang , Mingzhu Weng , Qian Bin , Hao-di Liu , Hai-Jun Xing , Xin-You Lü , Zhihai Wang

Using formalism of effective Hamiltonian we consider bound states in continuum (BIC). They are those eigen states of non-hermitian effective Hamiltonian which have real eigen values. It is shown that BICs are orthogonal to open channels of…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Evgeny N. Bulgakov , Konstantin N. Pichugin , Almas F. Sadreev , Ingrid Rotter

Bound states in the continuum (BICs) are unusual solutions of wave equations describing light or matter: they are discrete and spatially bounded, but exist at the same energy as a continuum of states which propagate to infinity. Until…

Optics · Physics 2014-12-24 Bo Zhen , Chia Wei Hsu , Ling Lu , A. Doug Stone , Marin Soljacic

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

Bound states in the continuum (BICs) are spatially localized states with energy embedded in the continuum spectrum of extended states. The combination of BICs physics and nontrivial band topology theory giving rise to topological BICs,…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Shunda Yin , Liping Ye , Hailong He , Xueqin Huang , Manzhu Ke , Weiyin Deng , Jiuyang Lu , Zhengyou Liu

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…

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