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In this work, we investigate the bound states in a one-dimensional spin-1 flat band system with a Coulomb-like potential of type III, which has a unique non-vanishing matrix element in basis $|1\rangle$. It is found that, for such a kind of…

量子物理 · 物理学 2022-05-24 Yi-Cai Zhang

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…

量子物理 · 物理学 2020-04-23 Zhang Xiao , Yang Bo , Wei Chaozhen , Luo Maokang

A bound state in the continuum (BIC) is a spatially bounded energy eigenstate lying in a continuous spectrum of extended eigenstates. While various types of single-particle BICs have been found in the literature, whether or not BICs can…

量子物理 · 物理学 2023-07-12 Shoki Sugimoto , Yuto Ashida , Masahito Ueda

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…

介观与纳米尺度物理 · 物理学 2024-07-29 Ricardo Y. Díaz-Bonifaz , Carlos Ramírez

We present a distinct mechanism for the formation of bound states in the continuum (BICs). In chiral quantum systems there appear zero-energy states in which the wave function has finite amplitude only in one of the subsystems defined by…

介观与纳米尺度物理 · 物理学 2014-07-30 Jordi Mur-Petit , Rafael A. Molina

Starting from a potential with a continuum of energy eigenstates, we show how the methods of supersymmetric quantum mechanics can be used to generate families of potentials with bound states in the continuum [BICs]. We also find the…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Pappademos , U. Sukhatme , A. Pagnamenta

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…

斑图形成与孤子 · 物理学 2017-09-21 Yaroslav V. Kartashov , Vladimir V. Konotop , Lluis Torner

We theoretically investigate and experimentally demonstrate that genuine bound states in the continuum (BICs) -- polarization-protected BICs -- can be completely localized within finite-size solid resonators. This bound mode is realized in…

应用物理 · 物理学 2024-10-22 Yeongtae Jang , Seokwoo Kim , Dongwoo Lee , Eunho Kim , Junsuk Rrho

Bound states in the continuum (BICs) defy conventional wisdom that assumes a spectral separation between propagating waves, that carry energy away, and spatially localized waves corresponding to discrete frequencies. They can be described…

光学 · 物理学 2024-08-12 Cheng-Zhen Wang , Ulrich Kuhl , Adin Dowling , Holger Schanz , Tsampikos Kottos

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…

光学 · 物理学 2018-04-23 Lijun Yuan , Ya Yan Lu

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…

量子物理 · 物理学 2025-06-25 Zeyu Rao , Changling Zou , Yang Chen , Guangcan Guo , Ming Gong

Bound states in the continuum (BICs) are trapped or guided modes with their frequencies in the frequency intervals of the radiation modes. On periodic structures, a BIC is surrounded by a family of resonant modes with their quality factors…

光学 · 物理学 2018-04-18 Lijun Yuan , Ya Yan Lu

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…

强关联电子 · 物理学 2015-06-16 S. Longhi , G. Della Valle

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 demonstrate that bound states in the continuum (BICs) form continuous lines along high-symmetry directions of momentum space in a simple phononic crystal slab. Contrary to common sense, these BICs are symmetry-protected (SP) BICs not…

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…

介观与纳米尺度物理 · 物理学 2009-11-13 G. Cattapan , P. Lotti

Quantum mechanics predicts that certain stationary potentials can sustain bound states with an energy buried in the continuous spectrum of scattered states, the so-called bound states in the continuum (BIC). Originally regarded as…

量子物理 · 物理学 2013-10-21 Stefano Longhi , Giuseppe Della Valle

In this work, we theoretically propose and experimentally demonstrate the formation of a super bound state in a continuum (BIC) on a photonic crystal flat band. This unique state simultaneously exhibits an enhanced quality factor and…

We examine bulk and surface bound states in the continuum (BIC) that is, square-integrable, localized modes embedded in the linear spectral band of a discrete lattice including interactions to first-and second nearest neighbors. We suggest…

介观与纳米尺度物理 · 物理学 2015-06-18 N. A. Gallo , M . I. Molina

Historically, most of the quantum mechanical results have originated in one dimensional model potentials. However, Von-Neumann's Bound states in the Continuum (BIC) originated in specially constructed, three dimensional, oscillatory,…

量子物理 · 物理学 2021-06-24 Zafar Ahmed , Sachin Kumar , Dona Ghosh , Tarit Goswami
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