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Identification and subsequent manipulation of resonant modes typically relies on comparison with calculations which require precise knowledge of material parameters and dimensions. For millimetre-sized resonators that support…

Nonlinear spectroscopy is widely used to study the transient dynamics of molecules under strong light-matter coupling, though it remains unclear to what extent uncoupled intracavity molecules obscure signals from the strongly-coupled…

Chemical Physics · Physics 2026-04-08 Alexander M. McKillop , Marissa L. Weichman

The concept of nonlinear modes is applied in order to analyze the behavior of a model of woodwind reed instruments. Using a modal expansion of the impedance of the instrument, and by projecting the equation for the acoustic pressure on the…

Classical Physics · Physics 2009-12-03 Daniel Noreland , Sergio Bellizzi , Christophe Vergez , Robert Bouc

Multi-mode entanglement is investigated in the system composed of $N$ coupled identical harmonic oscillators interacting with a common environment. We treat the problem very general by working with the Hamiltonian without the rotating-wave…

Quantum Physics · Physics 2015-05-13 Gao-xiang Li , Li-hui Sun , Zbigniew Ficek

We study nonlinear modes of dual-core photonic crystal fiber couplers made of a material with the focusing Kerr nonlinearity. We find numerically the profiles of symmetric, antisymmetric, and asymmetric nonlinear modes, and analyze…

Pattern Formation and Solitons · Physics 2009-11-11 Jose R. Salgueiro , Yuri S. Kivshar

We present a model to describe the spatiotemporal evolution of guided modes in semiconductor nanowires based on a coupled mode formalism. Light-matter interaction is modelled based on semiconductor Bloch equations, including many-particle…

Optics · Physics 2017-04-05 Robert Buschlinger , Michael Lorke , Ulf Peschel

Synchronization has been reported for a wide range of self-oscillating systems. However, even though it has been predicted theoretically for several decades, the experimental realization of phase self-oscillation, sometimes called phase…

Mesoscale and Nanoscale Physics · Physics 2014-08-29 Thomas Barois , S. Perisanu , Pascal Vincent , Stephen T. Purcell , Anthony AYARI

We examine a nonlinear magnetoinductive dimer and compute its linear and nonlinear symmetric, antisymmetric and asymmetric modes in closed-form, in the rotating-wave approximation. A linear stability analysis of these modes reveals that the…

Exactly Solvable and Integrable Systems · Physics 2015-06-12 Mario I. Molina

Nonlinear Pancharatnam-Berry phase metasurfaces facilitate the nontrivial phase modulation for frequency conversion processes by leveraging photon-spin dependent nonlinear geometric-phases. However, plasmonic metasurfaces show some severe…

Waves scattered at a self-oscillating mode can exhibit superradiance, or net amplification of an external harmonic excitation. This exotic behavior, arising from the nonlinear coupling between the mode and the incident wave, is…

Dynamical Systems · Mathematics 2023-03-22 Tiemo Pedergnana , Nicolas Noiray

Nonlinear nanostructured surfaces provide a paradigm shift in nonlinear optics with new ways to control and manipulate frequency conversion processes at the nanoscale, also offering novel opportunities for applications in photonics,…

Applied Physics · Physics 2019-11-07 Kirill Koshelev , Yutao Tang , Kingfai Li , Duk-Yong Choi , Guixin Li , Yuri Kivshar

A double-layer Kerr resonator in which both coupled modes are excited and interact with each other via incoherent cross-phase modulation is investigated to reveal stable localized solutions beyond the usual formation mechanism involving a…

Optics · Physics 2016-12-19 Antoine Bois , Joyce K. S. Poon

The nonlinear optical response of an excitonic insulator coupled to lattice degrees of freedom is shown to depend in strong and characteristic ways on whether the insulating behavior originates primarily from electron-electron or…

Strongly Correlated Electrons · Physics 2021-01-04 Denis Golez , Zhiyuan Sun , Yuta Murakami , Antoine Georges , Andrew J. Millis

We demonstrate a system composed of two resonators that are coupled solely through a nonlinear interaction, and where the linear properties of each resonator can be controlled locally. We show that this class of dynamical systems has…

Quantum Physics · Physics 2019-01-30 M. Menotti , B. Morrison , K. Tan , Z. Vernon , J. E. Sipe , M. Liscidini

This paper is the first in a series devoted to the numerical study of nonlinear interactions of electromagnetic waves with plasma. We start with non-magnetized pair plasmas, where the primary processes are induced (Compton) scattering and…

High Energy Astrophysical Phenomena · Physics 2022-09-21 Arka Ghosh , Daniel Kagan , Uri Keshet , Yuri Lyubarsky

We derive general coupled-mode equations describing the nonlinear interaction of electromagnetic modes in media with loss and gain. Our approach is rigorously based on the Lorentz reciprocity theorem, and it can be applied to a broad range…

The motion of micro- and nanomechanical resonators can be coupled to electromagnetic fields. This allows to explore the mutual interaction and introduces new means to manipulate and control both light and mechanical motion. Such…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Georg Heinrich , Florian Marquardt

Micro- and nanoelectromechanical system (MEMS and NEMS) resonators can exhibit rich nonlinear dynamics as they are often operated at large amplitudes with high quality factors and possess a high mode density with a variety of nonlinear…

Computational Engineering, Finance, and Science · Computer Science 2025-12-29 Daniel Schiwietz , Marian Hörsting , Eva Maria Weig , Matthias Wenzel , Peter Degenfeld-Schonburg

Nonlinearities play a critical role in the dynamics of mechanical resonators, enhancing sensitivity and enabling signal manipulation. Understanding the parameters affecting nonlinearities is crucial for developing strategies to counteract…

Applied Physics · Physics 2024-02-06 Nishta Arora , Priyanka Singh , Randhir Kumar , Rudra Pratap , Akshay Naik

Magnetic sensing beyond linear regime could broaden the frequency range of detectable magnetic fields, which is crucial to various microwave and quantum applications. Recently, nonlinear interactions in diamond nitrogen-vacancy (NV)…

Applied Physics · Physics 2024-05-07 Zhongqiang Hu , Zhiping He , Qiuyuan Wang , Chung-Tao Chou , Justin T. Hou , Luqiao Liu