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Damping typically results in attenuation of vibrations and elastic wave propagation in mechanical systems. Contrary to this conventional understanding, we demonstrate experimentally and explain theoretically the revival of an elastic wave…

Applied Physics · Physics 2024-05-13 Yanghao Fang , William Tuxbury , Abhishek Gupta , Tsampikos Kottos , Ramathasan Thevamaran

We study a monostatic multiple-input multiple-output sensing scenario assisted by a reconfigurable intelligent surface using tensor signal modeling. We propose a method that exploits the intrinsic multidimensional structure of the received…

Signal Processing · Electrical Eng. & Systems 2026-05-29 Kenneth Benício , Fazal-E-Asim , Bruno Sokal , André L. F. de Almeida , Behrooz Makki , Gabor Fodor , A. Lee Swindlehurst

A mathematical model describing the initial stage of the capture into autoresonance for nonlinear oscillating systems with combined parametric and external excitation is considered. The solutions with unboundedly growing amplitude and…

Mathematical Physics · Physics 2021-02-03 Oskar Sultanov

We follow a generalized kinematic approach to compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models, which provide a fully quantum description for a two-level system interacting with a single mode of…

Quantum Physics · Physics 2022-02-25 Ludmila Viotti , Fernando C. Lombardo , Paula I. Villar

Self-healing is the ability of a wave packet to spontaneously restore its spatial profile after scattering. As an emergent feature of non-unitary dynamics, it has attracted significant interest in non-Hermitian physics. Here, we…

Quantum Physics · Physics 2026-04-15 Wuping Yang , H. Huang

We establish a new criterion for exponential mixing of random dynamical systems. Our criterion is applicable to a wide range of systems, including in particular dispersive equations. Its verification is in nature related to several topics,…

Analysis of PDEs · Mathematics 2024-07-23 Ziyu Liu , Dongyi Wei , Shengquan Xiang , Zhifei Zhang , Jia-Cheng Zhao

Dynamical systems theory provides powerful methods to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. Here we derive and theoretically support a macroscopic, spatially discrete, model for a class…

Analysis of PDEs · Mathematics 2010-03-12 Wei Wang , A. J. Roberts

We study a dynamic mechanism to passively suppress the thermal noise of a micromechanical resonator through an intrinsic self-feedback that is genuinely non-Markovian. We use two coupled resonators, one as the target resonator and the other…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Ian , Z. R. Gong , C. P. Sun

Simple states, such as isobaric analog states or giant resonances, embedded into continuum are typical for mesoscopic many-body quantum systems. Due to the coupling to compound states in the same energy range, a simple mode acquires a…

Nuclear Theory · Physics 2016-09-08 V. V. Sokolov , V. G. Zelevinsky

Nonlinear spectroscopy employs a series of laser pulses to interrogate dynamics in large interacting many-body systems, and has become a highly successful method for experiments in chemical physics. Current quantum optical experiments…

Quantum Physics · Physics 2016-10-19 Frank Schlawin , Manuel Gessner , Shaul Mukamel , Andreas Buchleitner

We continue the investigation of kinetic models of a system in contact via stochastic interactions with several spatially homogeneous thermal reservoirs at different temperatures. Considering models different from those investigated in…

Mathematical Physics · Physics 2017-04-18 Eric A. Carlen , Raffaelle Esposito , Joel L. Lebowitz , Rossana Marra , Clement Mouhot

We investigate how the kinetic energy acquired by a dense granular system driven by an external vibration depends on the input energy. Our focus is on the dependence of the granular behavior on two main parameters: frequency and vibration…

Soft Condensed Matter · Physics 2021-01-14 A. Plati , L. de Arcangelis , A. Gnoli , E. Lippiello , A. Puglisi , A. Sarracino

We study nonlinear resonance of coupled modes in nano-mechanical systems. To reveal the qualitative features of the dynamics, we consider the limiting cases, where the results can be obtained analytically. For 1:3 resonance, we find the…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 O. Shoshani , S. W. Shaw , M. I. Dykman

As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the…

Chaotic Dynamics · Physics 2015-05-28 L. Chotorlishvili , A. Ugulava , G. Mchedlishvili , A. Komnik , S. Wimberger , J. Berakdar

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

Acoustic wave propagation in a one-dimensional waveguide connected with Helmholtz resonators is studied numerically. Finite amplitude waves and viscous boundary layers are considered. The model consists of two coupled evolution equations: a…

Classical Physics · Physics 2015-06-16 Bruno Lombard , Jean-François Mercier

Energy methods for constructing time-stepping algorithms are of increased interest in application to nonlinear problems, since numerical stability can be inferred from the conservation of the system energy. Alternatively, symplectic…

Computational Physics · Physics 2020-08-24 Vasileios Chatziioannou

We report on the fast relaxation behavior of a high-density magnon gas created by a parametric amplification process. The magnon gas is probed using the technique of spin-wave packet recovery by parallel parametric pumping. Experimental…

Materials Science · Physics 2015-05-19 S. Schäfer , V. Kegel , A. A. Serga , M. P. Kostylev , B. Hillebrands

We consider the dissipative dynamics of a qubit coupled to a nonlinear oscillator (NO) embedded in an Ohmic environment. By treating the nonlinearity up to first order and applying Van Vleck perturbation theory up to second order in the…

Quantum Physics · Physics 2009-12-03 Carmen Vierheilig , Johannes Hausinger , Milena Grifoni

An efficient technique is introduced for model inference of complex nonlinear dynamical systems driven by noise. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 V. N. Smelyanskiy , D. A. Timucin , A. Bandrivskyy , D. G. Luchinsky