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We consider the lattice dynamics in the harmonic approximation for We consider the lattice dynamics in the harmonic approximation for a simple hypercubic lattice with arbitrary unit cell. The initial data are random according to a…

Mathematical Physics · Physics 2007-05-23 T. V. Dudnikova , H. Spohn

Quantum systems can show qualitatively new forms of behavior when they are driven by fast time-periodic modulations. In the limit of large driving frequency, the long-time dynamics of such systems can often be described by a…

Quantum Gases · Physics 2015-04-01 N. Goldman , J. Dalibard , M. Aidelsburger , N. R. Cooper

It was observed that the spatiotemporal chaos in lattices of coupled chaotic maps was suppressed to a spatiotemporal fixed point when some fraction of the regular coupling connections were replaced by random links. Here we investigate the…

Chaotic Dynamics · Physics 2008-07-08 Manish Dev Shrimali , Swarup Poria , Sudeshna Sinha

We report an experimental study of the instability of a nearly-resonant Kelvin mode forced by precession in a cylindrical vessel. The instability is detected above a critical precession ratio via the appearance of peaks in the temporal…

Fluid Dynamics · Physics 2019-03-13 Johann Herault , Andre Giesecke , Thomas Gundrum , Frank Stefani

Resonant transport occurs when there is a matching of frequencies across some spatial medium, increasing the efficiency of shuttling particles from one reservoir to another. We demonstrate that in a periodically driven, many--body titled…

Strongly Correlated Electrons · Physics 2025-07-31 Bitan De , Gabriela Wójtowicz , Marek M. Rams , Michael Zwolak , Jakub Zakrzewski

The analogue of temporal coherence resonance for spatial degrees of freedom is reported. Specifically, we show that spatiotemporal noise is able to optimally extract an intrinsic spatial scale in nonlinear media close to (but before) a…

Statistical Mechanics · Physics 2009-11-10 O. Carrillo , M. A. Santos , J. Garcia-Ojalvo , J. M. Sancho

The time evolution of a system with a time-dependent non-Hermitian Hamiltonian is in general unstable with exponential growth or decay. A periodic driving field may stabilize the dynamics because the eigenphases of the associated Floquet…

Quantum Physics · Physics 2015-06-11 Jiangbin Gong , Qing-hai Wang

Nonautonomous driving of an oscillator has been shown to enlarge the Arnold tongue in parameter space, but little is known about the analogous effect for a network of oscillators. To test the hypothesis that deterministic nonautonomous…

Adaptation and Self-Organizing Systems · Physics 2019-01-16 Maxime Lucas , Duccio Fanelli , Aneta Stefanovska

This work analyses the dynamical properties of periodically-driven band models. Focusing on the case of Bose-Einstein condensates, and using a meanfield approach to treat inter-particle collisions, we identify the origin of dynamical…

Quantum Gases · Physics 2017-05-10 S. Lellouch , M. Bukov , E. Demler , N. Goldman

We study the evolution of abelian $U(1)$ electromagnetic as well as non-abelian $SU(2)$ gauge fields, in the presence of space-time oscillations. Analysis of the time evolution of abelian gauge fields shows the presence of parametric…

High Energy Physics - Phenomenology · Physics 2024-04-26 Shreyansh S. Dave , Sanatan Digal , Vinod Mamale

A two dimensional model is introduced to study pattern formation, secondary instabilities and the transition to spatiotemporal chaos (weak turbulence) in parametric surface waves. The stability of a periodic standing wave state above onset…

patt-sol · Physics 2009-10-22 Wenbin Zhang , Jorge Vinals

We present a gauge invariant argument that a nonlocal measure of second-order metric and matter perturbations dominate that of linear fluctuations in its effect on the gravitational field in 'slow-rolling' spacetimes.

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Losic , W. G. Unruh

Traveling waves triggered by a phase slip in coupled map lattices are studied. A local phase slip affects globally the system, which is in strong contrast with kink propagation. Attractors with different velocities coexist, and form…

chao-dyn · Physics 2009-10-22 Kunihiko Kaneko

The magnetic properties of a system of coexisting localized spins and conduction electrons are investigated within an extended version of the one dimensional Kondo lattice model in which effects stemming from the electron-lattice and…

Strongly Correlated Electrons · Physics 2009-11-10 M. Gulacsi , A. Bussmann-Holder , A. R. Bishop

We experimentally investigate the stability of a quantum gas with repulsive interactions in an optical 1D lattice subjected to periodic driving. Excitations of the gas in the lowest lattice band are analyzed across the complete stability…

We investigate parametric resonance in oscillator networks subjected to periodically time-varying oscillations in the edge strengths. Such models are inspired by the well-known parametric resonance phenomena for single oscillators, as well…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Karthik Chikmagalur , Bassam Bamieh

The paper presents an improved mass balancing procedure for fast rotating machinery, while it is being rotated at speeds considerably slower than the "critical speeds", where dangerously high vibration amplitudes may arise. By utilizing…

Applied Physics · Physics 2018-10-16 Amit Dolev , Shachar Tresser , Izhak Bucher

We investigate the classical problem of motion of a mathematical pendulum with an oscillating pivot. This simple mechanical setting is frequently used as the prime example of a system exhibiting the parametric resonance phenomenon, which…

Dynamical Systems · Mathematics 2021-12-30 Dalibor Pražák , Vít Průša , Karel Tůma

We treat analytically a model that captures several features of the phenomenon of spatially inhomogeneous reversal of an order parameter. The model is a classical Ginzburg-Landau field theory restricted to a bounded one-dimensional spatial…

Statistical Mechanics · Physics 2007-05-23 Robert S. Maier , D. L. Stein

Synchronisation and stability under periodic oscillatory driving are well-understood, but little is known about the effects of aperiodic driving, despite its abundance in nature. Here, we consider oscillators subject to driving with slowly…

Adaptation and Self-Organizing Systems · Physics 2018-05-09 Maxime Lucas , Julian Newman , Aneta Stefanovska