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The signature of bound state formation on the lattice is of particular interest in this talk. In the finite volume, where all states have discrete energies, it is rather hard to distinguish between a bound state and a scattering state if…

High Energy Physics - Lattice · Physics 2016-09-01 Shoichi Sasaki , Takeshi Yamazaki

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

Electrons in atoms and molecules are versatile physical systems covering a vast range of light-matter interactions, enabling the physics of Rydberg states, photon-photon bound states, simulation of condensed matter Hamiltonians, and quantum…

Quantum Physics · Physics 2017-12-14 Rumen Dangovski , Nicholas Rivera , Marin Soljacic , Ido Kaminer

The study of resonant dielectric nanostructures with high refractive index is a new research direction in nanoscale optics and metamaterial-inspired nanophotonics. Because of the unique optically-induced electric and magnetic Mie…

We report a bound state of the one-dimensional two-particle (bosonic or fermionic) Hubbard model with an impurity potential. This state has the Bethe-ansatz form, although the model is nonintegrable. Moreover, for a wide region in parameter…

Disordered Systems and Neural Networks · Physics 2017-05-23 J. M. Zhang , Daniel Braak , Marcus Kollar

In quantum theory, bound states are described by eigenvalue equations, which usually cannot be solved exactly. However, some simple general theorems allow to derive rigorous statements about the corresponding solutions, that is, energy…

High Energy Physics - Phenomenology · Physics 2011-04-15 Wolfgang Lucha , F. F. Schoberl

Bound states in the continuum (BIC) holds significant promise in manipulating electromagnetic fields and reducing losses in optical structures, leading to advancements in both fundamental research and practical applications. Despite their…

Optics · Physics 2024-09-04 Shuai Liu , Bo-Han Wu , Jeffrey Huang , Zheshen Zhang

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities…

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

The concept of optical bound states in the continuum (BICs) underpins the existence of strongly localized waves embedded into the radiation spectrum that can enhance the electromagnetic fields in subwavelength photonic structures. Early…

Various optical phenomena can be induced in periodic arrays of nanoparticles by the radiative coupling of the local dipoles in each particle. Probably the most impressive example is bound states in the continuum (BICs), which are…

We consider the quantum optics of a single photon interacting with a system of two level atoms. This leads to the study of a nonlinear eigenproblem for a system of nonlocal partial differential equations. Two classes of solutions to these…

Mathematical Physics · Physics 2023-06-22 Erik Orvehed Hiltunen , Joseph Kraisler , John C Schotland , Michael I Weinstein

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

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…

Quantum Physics · Physics 2023-07-12 Shoki Sugimoto , Yuto Ashida , Masahito Ueda

The design of devices based on acoustic or optical fields requires the fabrication of cavities and structures capable of efficiently trapping these waves. A special type of cavity can be designed to support resonances with a theoretically…

Classical Physics · Physics 2023-06-28 Marc Martí-Sabaté , Junfei Li , Bahram Djafari-Rouhani , Steven A. Cummer , Dani Torrent

Symmetry has imposed very strong constraints on the structures of internal wave functions and on the accessibility of outgoing channels. Based on symmetry consideration, the existence of a number of bound excited states and low-lying…

Atomic Physics · Physics 2007-05-23 C. G. Bao

A nonlinear electromagnetic scattering problem is studied in the presence of bound states in the radiation continuum. It is shown that the solution is not analytic in the nonlinear susceptibility and the conventional perturbation theory…

Mathematical Physics · Physics 2012-03-12 Friends Remy Ndangali , Sergei V. Shabanov

We present a new resonant behavior based on bound states in the continuum in a guided wave silicon platform. The continuum has the form of a collimated beam of light which is confined vertically in a TE mode of a silicon slab. The bound…

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

Continuous phase spaces have become a powerful tool for describing, analyzing, and tomographically reconstructing quantum states in quantum optics and beyond. A plethora of these phase-space techniques are known, however a thorough…

Quantum Physics · Physics 2020-02-24 Bálint Koczor , Robert Zeier , Steffen J. Glaser