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We introduce a novel concept of surface bound states in the continuum, i.e. surface modes embedded into the linear spectral band of a discrete lattice. We suggest an efficient method for creating such surface modes and the local bounded…

Pattern Formation and Solitons · Physics 2015-06-03 Mario I. Molina , Andrey E. Miroshnichenko , Yuri S. Kivshar

We show that confinement in the quantum Ising model leads to nonthermal eigenstates, in both continuum and lattice theories, in both one (1D) and two dimensions (2D). In the ordered phase, the presence of a confining longitudinal field…

Statistical Mechanics · Physics 2019-04-10 Andrew J. A. James , Robert M. Konik , Neil J. Robinson

In the context of quantum integrated photonics, this work investigates the quantum properties of light generated by silicon and silicon nitride micro-resonators pumped in pulsed regime. The developed theoretical model, performed in terms of…

Non-Hermitian systems enable advanced control of wave propagation by exploiting engineered losses. This introduces an additional degree of freedom that permits the emergence of exceptional points (EPs). In this letter, we theoretically and…

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

The absorption properties of a metaporous material made of non-resonant simple shape three-dimensional inclusions (cube, cylinder, sphere, cone and torus) embedded in a rigidly backed rigid frame porous material is studied. A nearly total…

We study quantum features of electromagnetic radiation propagating in the one-dimensional superconducting quantum metamaterial comprised of an infinite chain of charge qubits placed within two-stripe massive superconductive resonators. The…

Quantum Physics · Physics 2022-07-13 M. Pejic , Z. Przulj , D. Chevizovich , N. Lazarides , G. P. Tsironis , Z. Ivic

One-dimensional structures of non-Hermitian plasmonic metallic nanospheres are studied in this paper. For a single sphere, solving Maxwell's equations results in quasi-stationary eigenmodes with complex quantized frequencies. Coupled mode…

Quantum Physics · Physics 2018-12-27 Amin Tayebi , Scott Rice

Bound states in the continuum (BICs) are a fascinating class of eigenstates that trap energy within the continuum, enabling breakthroughs in ultra-low-threshold lasing, high-Q sensing, and advanced wave-matter interactions. However, their…

Applied Physics · Physics 2026-04-29 Sheng-Nan Liang , Zhen-Hui Qin , Shu-Mao Wu , Hua-Yang Chen , Si-Yuan Yu , Yan-Feng Chen

Controlling the emission and interaction properties of quantum emitters (QEs) embedded within an optical cavity is a key technique in engineering light-matter interactions at the nanoscale, as well as in the development of quantum…

Optics · Physics 2015-12-04 Iñigo Liberal , Nader Engheta

Recent measurements of the conductivity of nanoperforated graphene are interpreted in terms of edges states existing near the edge of each nanohole. The perimetric quantization of edge states should result in the formation of a…

Mesoscale and Nanoscale Physics · Physics 2017-03-14 V. V. Enaldiev , V. A. Volkov

A theoretical framework incorporating atomic-level interfacial details is derived to include the electronic structure of buried interfaces and describe the behavior of charge carriers in heterostructures in the presence of finite…

Materials Science · Physics 2026-04-01 Anis Attiaoui , Gabriel Fettu , Samik Mukherjee , Matthias Bauer , Oussama Moutanabbir

We introduce a class of critical states which are embedded in the continuum (CSC) of one-dimensional optical waveguide array with one non-Hermitian defect. These states are at the verge of being fractal and have real propagation constant.…

Disordered Systems and Neural Networks · Physics 2015-06-19 M. Koirala , A. Yamilov , A. Basiri , Y. Bromberg , H. Cao , T. Kottos

We present the mathematical theory of one-dimensional infinitely periodic chains of subwavelength resonators. We analyse both Hermitian and non-Hermitian systems. Subwavelength resonances and associated modes can be accurately predicted by…

Analysis of PDEs · Mathematics 2023-04-21 Habib Ammari , Silvio Barandun , Jinghao Cao , Florian Feppon

The realization of high-Q resonances in a silicon metasurface with various broken-symmetry blocks is reported. Theoretical analysis reveals that the sharp resonances in the metasurfaces originate from symmetry-protected bound states in the…

Optics · Physics 2022-06-17 C. Fang , Q. Yang , Q. Yuan , X. Gan , J. Zhao , Y. Shao , Y. Liu , G. Han , Y. Hao

Conventional Purcell theory emphasizes high quality factors (Q) for spontaneous emission (SE) enhancement in cavities, but overlooks collective Bloch mode effects in periodic nanostructures like photonic crystal slabs. We introduce a…

Optics · Physics 2026-02-24 Keren Wang , Jing Du , Wei Wang

Wavelength-selective thermal emitters (WS-EMs) hold considerable appeal due to the scarcity of cost-effective, narrow-band sources in the mid-to-long-wave infrared spectrum. WS-EMs achieved via dielectric materials typically exhibit thermal…

Materials with optimized band gap are needed in many specialized applications. In this work, we demonstrate that Hellmann-Feynman forces associated with the gap states can be used to find atomic coordinates with a desired electronic density…

Materials Science · Physics 2015-06-16 Kiran Prasai , Parthapratim Biswas , D. A. Drabold

It is commonly held that a necessary condition for the existence of solitons in nonlinear-wave systems is that the soliton's frequency (spatial or temporal) must not fall into the continuous spectrum of radiation modes. However, this is not…

Pattern Formation and Solitons · Physics 2009-10-31 A. R. Champneys , B. A. Malomed , J. Yang , D. J. Kaup

We present an analytical theory for the most subradiant modes in a finite one-dimensional emitter array coupled to either an ideal or a nonideal waveguide. Using an effective non-Hermitian Hamiltonian together with a Bragg-edge…

Quantum Physics · Physics 2026-04-07 Xin Wang , Junjun He , Zeyang Liao