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This paper presents a constraint-enforcing control framework for a class of discrete-time strict-feedback nonlinear systems. The objective is to guarantee closed-loop stability while ensuring forward invariance of a prescribed safe set…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

Bound states in the continuum (BICs) exist in a variety of physical systems where they appear as lossless propagating states surrounded by radiating modes. However, in the case of open systems, they coexist with continuous families of…

In open quantum systems, reduced dynamics is commonly described by a master equation, whose Liouvillian gap closing (LGC) typically signals the emergence of decoherence-free subspace. By contrast, the dynamics of the full system-environment…

Quantum Physics · Physics 2026-02-03 Hongwei Yu , Mingzhu Weng , Zhihai Wang , Jin Wang

A holy grail of photonics research is the realization of a laser that uses a single quantum emitter as the gain medium. Such a device would exhibit a plethora of new features, including lasing without a well-defined threshold and output…

Mesoscale and Nanoscale Physics · Physics 2010-11-24 J. M. Elzerman , K. M. Weiss , J. Miguel-Sanchez , A. Imamoglu

In this paper, we present a Bound states in the continuum (BIC) metamaterial in heterogeneous structures based on the universal coupled mode theory. We find the more general physical parameters to represent BIC, which are the resonant…

Bound states in the continuum (BICs) have some unusual properties and important applications in photonics. A periodic structure sandwiched between two homogeneous media is the most popular platform for observing BICs and realizing their…

Optics · Physics 2021-09-01 Lijun Yuan , Ya Yan Lu

We propose a unique framework to study the topological properties of an optical bound state in the continuum(BIC). We employ the interactions between proximity resonances undergoing avoided resonance crossing in a specialty optical…

Optics · Physics 2020-10-07 Harsh K. Gandhi , Arnab Laha , Somnath Ghosh

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

Building on the development of momentum state lattices (MSLs) over the past decade, we introduce a simple extension of this technique to higher dimensions. Based on the selective addressing of unique Bragg resonances in matter-wave systems,…

Quantum Gases · Physics 2023-05-30 Shraddha Agrawal , Sai Naga Manoj Paladugu , Bryce Gadway

Coupling is an essential mechanism that drives complexity in natural systems, transforming single, non-interacting elements into intricate networks with rich physical properties. Here, we demonstrate a chip-scale coupled laser system that…

We study a four-level atomic scheme interacting with four lasers in a closed-loop configuration with a $\diamondsuit$ (diamond) geometry. We investigate the influence of the laser phases on the steady state. We show that, depending on the…

Quantum Physics · Physics 2009-11-07 Giovanna Morigi , Sonja Franke-Arnold , Gian-Luca Oppo

We theoretically investigate optical injection in semiconductor ring lasers and disclose several dynamical regimes. Through numerical simulations and bifurcation continuation, two separate parameter regions in which two different…

Optics · Physics 2011-08-18 W. Coomans , S. Beri , G. Van der Sande , L. Gelens , J. Danckaert

This paper presents an iterative learning control (ILC) scheme for continuously operated repetitive systems for which no initial condition reset exists. To accomplish this, we develop a lifted system representation that accounts for the…

Systems and Control · Electrical Eng. & Systems 2021-08-17 Maxwell Wu , Mitchell Cobb , James Reed , Kirti Mishra , Chris Vermillion , Kira Barton

We demonstrate the existence of tunable bound-states in continuum (BIC) in a 1-dimensional quantum wire with two impurities induced by an intense monochromatic radiation field. We found that there is a new type of BIC due to the Fano…

Quantum Physics · Physics 2014-09-05 Yingyue Boretz , Gonzalo Ordonez , Satoshi Tanaka , Tomio Petrosky

With the surge of theoretical work investigating Reconfigurable Intelligent Surfaces (RISs) for wireless communication and sensing, there exists an urgent need of hardware solutions for the evaluation of these theoretical results and…

Information Theory · Computer Science 2023-08-08 Alejandro Jiménez-Sáez , Arash Asadi , Robin Neuder , Mohamadreza Delbari , Vahid Jamali

For linear control systems with bounded control range, the state space is compactified using the Poincar\'e sphere. The linearization of the induced control flow allows the construction of invariant manifolds on the sphere and of…

Optimization and Control · Mathematics 2025-05-05 Fritz Colonius , Alexandre J. Santana

We investigate, using the stochastic limit method, the coherent quantum control of a 3-level atom in $\Lambda$-configuration interacting with two laser fields. We prove that, in the generic situation, this interaction entangles the two…

Quantum Physics · Physics 2024-04-30 L. Accardi , S. V. Kozyrev , A. N. Pechen

Linear matrix Inequalities (LMIs) have had a major impact on control but formulating a problem as an LMI is an art. Recently there is the beginnings of a theory of which problems are in fact expressible as LMIs. For optimization purposes it…

Optimization and Control · Mathematics 2008-02-14 J. William Helton , Jiawang Nie

Coupled relaxation oscillators, realized via chemical or other means, can exhibit a multiplicity of steady states, characterized by spatial patterns resulting from lateral inhibition. We show that perturbation-initiated transformations…

Pattern Formation and Solitons · Physics 2023-06-22 A. Parveena Shamim , Shakti N. Menon , Sitabhra Sinha

The physics of bound states in the continuum (BICs) allows to design and demonstrate optical resonant structures with large values of the quality factor ($Q$-factor) by employing dielectric structures with low losses. However, BIC is a…

Optics · Physics 2023-11-23 Yao Liang , Din Ping Tsai , Yuri Kivshar
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