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This article describes a numerical procedure designed to tune the parameters of periodically-driven dynamical systems to a state in which they exhibit rich dynamical behavior. This is achieved by maximizing the diversity of subharmonic…

Chaotic Dynamics · Physics 2017-02-13 Leandro M. Alonso

In this letter we demonstrate the possibility to determine the temporal and spectral structure (spectrogram) of a complex light pulse exploiting the ultrafast switching character of a non-thermal photo-induced phase transition. As a proof,…

Driven-dissipative light-matter systems can exhibit collective nonequilibrium phenomena due to loss and gain processes on the one hand and effective photon-photon interactions on the other hand. As generic example we study a bosonic lattice…

Quantum Physics · Physics 2024-09-17 Arkadiusz Kosior , Karol Gietka , Farokh Mivehvar , Helmut Ritsch

We perform a systematic study of the temporal dynamics emerging in the asymmetrically driven dissipative Bose-Hubbard dimer model. This model successfully describes the nonlinear dynamics of photonic diatomic molecules in linearly coupled…

Pattern Formation and Solitons · Physics 2022-08-17 Jesús Yelo Sarrión , François Leo , Simon-Pierre Gorza , Pedro Parra-Rivas

We consider the existence of standing pulse solutions of a neural network integro-differential equation. These pulses are bistable with the zero state and may be an analogue for short term memory in the brain. The network consists of a…

Neurons and Cognition · Quantitative Biology 2009-11-10 Yixin Guo , Carson C. Chow

Detailed two dimensional particle-in-cell (PIC) simulations and numerical calculations of electron density profiles, based on a simplified model, were performed to show for the first time that underdense plasma, induced by two pairs of…

Optics · Physics 2015-06-18 Rotem Kupfer , Boris D. Barmashenko , Ilana Bar

We consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence of a periodic force. The existence and uniqueness results…

Mathematical Physics · Physics 2024-01-26 M. Agaoglou , M. Feckan , M. Pospisil , V. M. Rothos , H. Susanto

Normal-incidence transmission and dispersion properties of optical multilayers and one-dimensional stepwise potential barriers in the non-tunneling regime are analytically investigated. The optical paths of every constituent layer in a…

Mesoscale and Nanoscale Physics · Physics 2008-04-13 S. V. Zhukovsky , S. V. Gaponenko

Time-decaying perturbations of nonlinear oscillatory systems in the plane are considered. It is assumed that the unperturbed systems are non-isochronous and the perturbations oscillate with an asymptotically constant frequency. Resonance…

Dynamical Systems · Mathematics 2023-10-10 Oskar A. Sultanov

We propose a technique for robust optomechanical state transfer using phase-tailored composite pulse driving with constant amplitude. Our proposal is inspired by coherent control techniques in lossless driven qubits. We demonstrate that…

Quantum Physics · Physics 2019-03-15 C. Ventura-Velázquez , B. Jaramillo Ávila , E. Kyoseva , B. M. Rodríguez-Lara

A kinetic equation describing the nonlinear evolution of intense electromagnetic pulses in electron-positron (e-p) plasmas is presented. The modulational instability is analyzed for a relativistically intense partially coherent pulse, and…

Plasma Physics · Physics 2007-05-23 M. Marklund , B. Eliasson , P. K. Shukla

We apply a pulsed-light interferometer to measure both the intensity and the phase of light that is transmitted through a strongly scattering disordered material. From a single set of measurements we obtain the time-resolved intensity,…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. M. Vellekoop , P. Lodahl , A. Lagendijk

We study existence, stability, and dynamics of linear and nonlinear stationary modes propagating in radially symmetric multi-core waveguides with balanced gain and loss. We demonstrate that, in general, the system can be reduced to an…

Many nonlinear systems are described by eigenmodes with amplitude-dependent frequencies, interacting strongly whenever the frequencies become commensurate at internal resonances. Fast energy exchange via the resonances holds the key to rich…

Chaotic Dynamics · Physics 2022-12-07 Mingkang Wang , Diego J. Perez-Morelo , Daniel Lopez , Vladimir A. Aksyuk

Synthetic dimensions in photonic structures provide unique opportunities for actively manipulating light in multiple degrees of freedom. Here, we theoretically explore a dispersive waveguide under the dynamic phase modulation that supports…

Optics · Physics 2025-05-16 Guangzhen Li , Danying Yu , Luqi Yuan , Xianfeng Chen

There has been an explosion of interest in time-varying photonics due to the recent discovery and design of materials and metamaterials with strong, time-varying, nonlinear optical responses. This opens the door to novel optical phenomena…

Optics · Physics 2023-07-05 Joshua Baxter , Lora Ramunno

We present our study on the emergent states of two interacting nonlinear systems with differing dynamical time scales. We find that the inability of the interacting systems to fall in step leads to difference in phase as well as change in…

Chaotic Dynamics · Physics 2016-02-09 Kajari Gupta , G. Ambika

We report the study and demonstration of a new laser pulse shaping system capable of generating linearly polarized picosecond laser pulses with variable temporal profiles including symmetric intensity distributions such as parabolic,…

Optics · Physics 2019-02-20 Fangming Liu , Senlin Huang , Shangyu Si , Gang Zhao , Kexin Liu , Shukui Zhang

We study the implementation of arbitrary excitation-conserving linear transformations between two sets of $N$ stationary bosonic modes, which are connected through a photonic quantum channel. By controlling the individual couplings between…

Quantum Physics · Physics 2023-02-03 Ze-Liang Xiang , Diego González Olivares , Juan José García-Ripoll , Peter Rabl

We demonstrated stochastic switching in a bistable system implemented with Rydberg atomic ensemble. The transition between the two states of the bistable system is driven by intensity noise of the laser beams. Rydberg atomic ensemble…

Atomic Physics · Physics 2020-12-02 Jun He , Xin Wang , Xin Wen , Junmin Wang