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Nonlinear disordered media uniquely combine multiple scattering and second-harmonic generation. Here, we investigate the statistical properties of the nonlinear light generated within such media. We report super-Rayleigh statistics of the…

The coupled electron-nuclear spin system in an InGaAs semiconductor as testbed of nonlinear dynamics can develop auto-oscillations, resembling time-crystalline behavior, when continuously excited by a circularly polarized laser. We expose…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Alex Greilich , Nataliia E. Kopteva , Vladimir L. Korenev , Manfred Bayer

We show how a nonlinear chaotic system, the parametrically kicked nonlinear oscillator, may be realised in the dynamics of a trapped, laser-cooled ion, interacting with a sequence of standing wave pulses. Unlike the original optical scheme…

Quantum Physics · Physics 2009-10-30 J. K. Breslin , C. A. Holmes , G. J. Milburn

An investigation of the mesoscopic dynamics of chemical systems whose mass action equation gives rise to a deterministic chaotic attractor is carried out. A reactive lattice-gas model for the three-variable autocatalator is used to provide…

chao-dyn · Physics 2009-10-28 Raymond Kapral , Xiao-Guang Wu

Progress in the creation of large scale, artificial quantum coherent structures demands the investigation of their nonequilibrium dynamics when strong interactions, even between remote parts, are non-perturbative. Analysis of multiparticle…

We report new experimental results on the generation and dynamics of multiple double layers in front of a positively biased electrode immersed in a DP-machine plasma. Depending on the geometry or the dimensions of the electrode, this…

We present a new chaotic system of three coupled ordinary differential equations, limited to quadratic nonlinear terms. A wide variety of dynamical regimes are reported. For some parameters, chaotic reversals of the amplitudes are produced…

Chaotic Dynamics · Physics 2012-03-05 Christophe Gissinger

As a first approximation, the forces acting on optically trapped particles are commonly assumed to be conservative. The influence of the nonconservative force has been shown to be negligible in overdamped liquid environments. However, its…

A nonuniform system is considered consisting of two phases with different densities of particles. At each given time the distribution of the phases in space is chaotic: each phase filling a set of regions with random shapes and locations. A…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , E. P. Yukalova

Chaos and nonlinear economic dynamics are addressed for a quantum coupled map lattice model of an artificial economy, with quantized supply and demand equilibrium conditions. The measure theoretic properties and the patterns that emerge in…

Chaotic Dynamics · Physics 2012-03-01 Carlos Pedro Gonçalves

We observe chaotic dynamics in a damped linear oscillator, which is driven only at certain regions of phase space. Both deterministic and random drives are studied. The dynamics is characterized using standard techniques of nonlinear…

Chaotic Dynamics · Physics 2008-09-05 Manu. P. John , V. M. Nandakumaran

Squeezing of optical fields, used as a powerful resource for many applications, and the radiation properties in the process of high harmonic generation have thus far been considered separately. In this Letter, we want to clarify that the…

Phase synchronization is shown to occur between opposite cells of a ring consisting of chaotic Lorenz oscillators coupled unidirectionally through driving. As the coupling strength is diminished, full phase synchronization cannot be…

chao-dyn · Physics 2015-06-24 D. Pazo , I. P. Marino , V. Perez-Munuzuri , V. Perez-Villar

Non-classical states of light, such as number-squeezed light, with fluctuations below the classical shot noise level, have important uses in metrology, communication, quantum information processing, and quantum simulation. However,…

Quantum Physics · Physics 2023-06-06 Linh Nguyen , Jamison Sloan , Nicholas Rivera , Marin Soljacic

A solvable model of noise effects on globally coupled limit cycle oscillators is proposed. The oscillators are under the influence of independent and additive white Gaussian noise. The averaged motion equation of the system with infinitely…

Chaotic Dynamics · Physics 2019-09-20 Keiji Okumura , Akihisa Ichiki

We propose a method for generation of a single-cycle squeezed light by parametric down-conversion in a chirped quasi-phase-matched nonlinear crystal. We find an exact quantum solution for this process valid for an arbitrary parametric gain,…

Quantum Physics · Physics 2014-09-24 D. B. Horoshko , M. I. Kolobov

An analysis of the semiclassical regime of the quantum-classical transition is given for open, bounded, one dimensional chaotic dynamical systems. Environmental fluctuations -- characteristic of all realistic dynamical systems -- suppress…

Quantum Physics · Physics 2009-11-10 Benjamin D. Greenbaum , Salman Habib , Kosuke Shizume , Bala Sundaram

Caustics are natural phenomena in which nature concentrates the energy of waves. Although, they are known mostly in optics, caustics are intrinsic to all wave phenomena. For example, studies show that fluctuations in the profile of an ocean…

Optics · Physics 2017-11-22 Akbar Safari , Robert Fickler , Miles J. Padgett , Robert W. Boyd

Convection is a fundamental fluid transport phenomenon, where the large-scale motion of a fluid is driven, for example, by a thermal gradient or an electric potential. Modeling convection has given rise to the development of chaos theory…

Computational Physics · Physics 2021-08-17 Yifei Guan , Steven L. Brunton , Igor Novosselov

We examine the dynamics of a wave packet that initially corresponds to a coherent state in the model of quantum kicked rotator. This main model of quantum chaos, which allows for a transition from regular to to chaotic behavior in the…

Quantum Physics · Physics 2009-11-07 Kirill N. Alekseev , Dima S. Primak