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We present an experimental investigation of superlattice patterns generated on the surface of a fluid via parametric forcing with 2 commensurate frequencies. The spatio-temporal behavior of 4 qualitatively different types of superlattice…

Pattern Formation and Solitons · Physics 2009-11-07 H. Arbell , J. Fineberg

We discuss the anomalous behavior of the Faraday (transmission) and polar Kerr (reflection) rotation angles of the propagating light, in finite periodic parity-time ($\mathcal{P}\mathcal{T}$) symmetric structures, consisting of $N$ cells.…

Optics · Physics 2023-05-17 Antonio Perez-Garrido , Peng Guo , Vladimir Gasparian , Esther Jódar

We present a theoretical study of the the effects of off-resonant polarized optical fields on a ferromagnetic model system. We determine the light-induced dynamics of itinerant carriers in a system that includes magnetism at the mean-field…

Materials Science · Physics 2019-07-01 Christiane Scholl , Svenja Vollmar , Hans Christian Schneider

We introduce a time-dependent perturbation method to calculate the number of created particles in a 1D cavity with an oscillating wall of the frequency $\Omega . $ This method makes it easy to find the dominant part of the solution which…

Quantum Physics · Physics 2008-11-26 Jeong-Young Ji , Kwang-Sup Soh

We discuss dissipative chaos showing symmetries in the phase space and nonclassical statistics for a parametrically driven nonlinear Kerr resonator (PDNR). In this system an oscillatory mode is created in the process of degenerate…

Other Condensed Matter · Physics 2014-07-30 T. V. Gevorgyan , G. H. Hovsepyan , A. R. Shahinyan , G. Yu. Kryuchkyan

Nature is intrinsically heterogeneous, and remarkable phenomena can only be observed in the presence of intrinsically nonlinear heterogeneities. Spontaneous pattern formation in nature has fascinated humankind for centuries, and the…

Pattern Formation and Solitons · Physics 2025-03-24 Juan F. Marín , Rafael Riveros Ávila , Saliya Coulibaly , Majid Taki , Mónica A. García-Ñustes

We show the existence of nonlinear resonant states in a higher-order nonlinear Schr\"odinger model that appertains to the wave propagation in femtosecond fiber optics, under certain parametric regime. These nonlinear resonant states are…

Pattern Formation and Solitons · Physics 2020-12-30 Shailza Pathania , Amit Goyal , Thokala Soloman Raju , C. N. Kumar

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · Physics 2008-10-08 G. Gallavotti

We investigate the modulational instability of plane waves in quadratic nonlinear materials with linear and nonlinear quasi-phase-matching gratings. Exact Floquet calculations, confirmed by numerical simulations, show that the periodicity…

Pattern Formation and Solitons · Physics 2009-11-07 J. F. Corney , Ole Bang

Strong effects of the Faraday instability on suspensions of rodlike colloidal particles are reported through measurements of the critical acceleration and of the surface wave amplitude. We show that the transition to parametrically excited…

Soft Condensed Matter · Physics 2013-01-30 Pierre Ballesta , M. Paul Lettinga , Sebastien Manneville

In the quantum system under periodical modulation, the particle can be excited by absorbing the laser photon with the assistance of integer Floquet photons, so that the Floquet sidebands appear. Here, we experimentally observe non-integer…

Quantum Gases · Physics 2024-01-19 Du-Yi Ou-Yang , Yan-Hua Zhou , Ya Zhang , Xiao-Tong Lu , Hong Chang , Tao Wang , Xue-Feng Zhang

We report the first simulations of the Faraday instability using the full three-dimensional Navier-Stokes equations in domains much larger than the characteristic wavelength of the pattern. We use a massively parallel code based on a hybrid…

Fluid Dynamics · Physics 2015-05-12 L. Kahouadji , N. Périnet , L. S. Tuckerman , S. Shin , J. Chergui , D. Juric

We present a comprehensive theoretical framework for calculating the linear and nonlinear optical responses of time-periodic quantum systems. Using density matrix evolution in the Floquet basis and adopting the length gauge, our approach…

Materials Science · Physics 2025-03-10 S. Sajad Dabiri , Reza Asgari

A route toward lineshape engineering of Fano resonances in photonic structures is theoretically proposed, which uses dynamic modulation of the refractive index of a microcavity. The method is exemplified by considering coupled-resonator…

Optics · Physics 2016-01-15 Stefano Longhi

We present an experimental and theoretical study of the effect of spatio-temporal fluctuations in quasi-reversible systems displaying a spatial quintic supercritical bifurcation. The saturation mechanism is drastically changed by the…

Pattern Formation and Solitons · Physics 2025-02-27 Marcel G. Clerc , Claudio Falcón , René G. Rojas

We present a Floquet scheme for the ab-initio calculation of nonlinear optical properties in extended systems. This entails a reformulation of the real-time approach based on the dynamical Berry-phase polarisation [Attaccalite & Gr\"uning,…

Materials Science · Physics 2023-04-11 Ignacio M. Alliati , Myrta Grüning

Subtle internal interference effects allow quantum-chaotic systems to display "sub-Fourier" resonances, i.e. to distinguish two neighboring driving frequencies in a time shorter than the inverse of the difference of the two frequencies. We…

Quantum Physics · Physics 2007-05-23 Hans Lignier , Jean Claude Garreau , Pascal Szriftgiser , Dominique Delande

The interplay of such cornerstones of modern nonlinear fiber optics as a nonlinearity, stochasticity and polarization leads to variety of the noise induced instabilities including polarization attraction and escape phenomena harnessing of…

A variety of intriguing polarization patterns are created when polarization observations of the single pulses from radio pulsars are displayed in a two-dimensional projection of the Poincare sphere. In many pulsars, the projections produce…

Astrophysics · Physics 2011-02-11 Mark M. McKinnon

A recent Faraday wave experiment with two-frequency forcing reports two types of `superlattice' patterns that display periodic spatial structures having two separate scales [1]. These patterns both arise as secondary states once the primary…

Pattern Formation and Solitons · Physics 2019-10-03 D. P. Tse , A. M. Rucklidge , R. B. Hoyle , M. Silber