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Electromagnetic bound states in the radiation continuum are studied for periodic double arrays of subwavelength dielectric cylinders in TM polarization. They are similar to localized waveguide mode solutions of Maxwell's equations for metal…

Mathematical Physics · Physics 2010-10-05 Friends R. Ndangali , Sergei V. Shabanov

Photonic bound states in the continuum are spatially localised modes with infinitely long lifetimes that exist within a radiation continuum at discrete energy levels. These states have been explored in various systems where their emergence…

Optics · Physics 2024-06-07 Wenhui Wang , Antonio Günzler , Bodo D. Wilts , Matthias Saba

Waveguide quantum electrodynamics platforms have emerged as promising candidates for exploring and implementing non-Markovian quantum phenomena. In this work, we investigate the formation and dynamics of superpositions of bound states in a…

We theoretically predict the formation of two-photon bound states in a two-dimensional waveguide network hosting a lattice of two-level atoms. The properties of these bound pairs and the exclusive domains of the parameter space where they…

Quantum Physics · Physics 2022-01-12 Y. Marques , I. A. Shelykh , I. V. Iorsh

We investigate the behavior of two quantum emitters (two-level atoms) embedded in a linear waveguide, in a quasi-one-dimensional configuration. Since the atoms can emit, absorb and reflect radiation, the pair can spontaneously relax towards…

We study bound states of the two-dimensional Helmholtz equations with Dirichlet boundary conditions in an open geometry given by two straight leads of the same width which cross at an angle $\theta$. Such a four-terminal junction with a…

Condensed Matter · Physics 2009-11-07 Evgeny N. Bulgakov , Pavel Exner , Konstantin N. Pichugin , Almas F. Sadreev

We study the bound states in the continuum (BIC) in a system of two identical two-level giant atoms coupled to a one-dimensional waveguide. By deriving general dark-state conditions, we clarify how coupling configurations and atomic…

Quantum Physics · Physics 2026-05-12 F. J. Lü , W. Z. Jia

We study in-gap electronic states induced by a nonmagnetic defect with short-range potential in two-dimensional topological insulators and trace their evolution as the distance between the defect and the boundary changes. The defect located…

Mesoscale and Nanoscale Physics · Physics 2015-02-13 Vladimir A. Sablikov , Aleksei A. Sukhanov

Bound states in the continuum (BICs) are localized states embedded within a continuum of propagating waves. Perturbations that disrupt BICs typically induce ultra-strong resonances, a phenomenon enabling diverse applications in photonics.…

Mathematical Physics · Physics 2026-01-21 Jiaxin Zhou , Wangtao Lu , Ya Yan Lu

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

Bound states in the continuum provide a remarkable example of how a simple problem solved about a century ago in quantum mechanics can drive the research on a whole spectrum of resonant phenomena in wave physics. Due to their huge radiative…

Cavities play a fundamental role in wave phenomena from quantum mechanics to electromagnetism and dictate the spatiotemporal physics of lasers. In general, they are constructed by closing all "doors" through which waves can escape. We…

We report the prediction of quasi-bound states (resonant states with very long lifetimes) that occur in the eigenvalue continuum of propagating states for a wide region of parameter space. These quasi-bound states are generated in a quantum…

Quantum Physics · Physics 2008-12-16 Hiroaki Nakamura , Naomichi Hatano , Sterling Garmon , Tomio Petrosky

Quantum wires and electromagnetic waveguides possess common features since their physics is described by the same wave equation. We exploit this analogy to investigate experimentally with microwave waveguides and theoretically with the help…

Mesoscale and Nanoscale Physics · Physics 2013-04-11 S. Bittner , B. Dietz , M. Miski-Oglu , A. Richter , C. Ripp , E. Sadurni , W. P. Schleich

We study the presence of nontrivial bound states of two multilevel quantum emitters and the photons propagating in a linear waveguide. We characterize the conditions for the existence of such states and determine their general properties,…

Quantum Physics · Physics 2018-03-02 Paolo Facchi , Saverio Pascazio , Francesco V. Pepe , Kazuya Yuasa

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

We report the formation of bound states in the continuum driven by AC fields. This system consists of a quantum ring connected to two leads. An AC side-gate voltage controls the interference pattern of the electrons passing through the…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 C. González-Santander , P. A. Orellana , F. Domínguez-Adame

We present an analytic solution of bound states in the continuum (BICs) for photons and atoms in a one-dimensional coupled cavity array. These bound states are formed by two ensembles of twolevel atoms confined in separated cavities of the…

Quantum Physics · Physics 2017-08-23 P. T. Fong , C. K. Law

The presence of bound states in a nanoscale electronic system attached to two biased, macroscopic electrodes is shown to give rise to persistent, non-decaying, localized current oscillations which can be much larger than the steady part of…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 E. Khosravi , G. Stefanucci , S. Kurth , E. K. U. Gross

Photon bound states have been identified as particular solutions to the scattering of two photons from a single emitter, but from these results the full nature of these states remains elusive. We study a novel, clear and unambiguous…

Quantum Physics · Physics 2023-10-31 Björn Schrinski , Johan A. Brimer , Anders S. Sørensen
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