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Related papers: Optical chaos in nonlinear photonic crystals

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Phononic crystals and acoustic meta-materials are used to tailor phonon and sound propagation properties by facilitating artificial, periodic structures. Analogous to photonic crystals, phononic band gaps can be created, which influence…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Daniel Midtvedt , Andreas Isacsson , Alexander Croy

We study parametric interactions in a new type of nonlinear photonic structures, which is realized in the vicinity of a pair of nonlinear crystals. In this kind of structure, which we call binary, multiple nonlinear optical processes can be…

Optics · Physics 2016-12-21 M. Yu. Saygin , A. S. Chirkin

Nonlinear dynamics of wave packets in two-dimensional parity-time-symmetric optical lattices near the phase-transition point are analytically studied. A novel fourth-order equation is derived for the envelope of these wave packets. A…

Optics · Physics 2016-04-13 Sean Nixon , Jianke Yang

We report on the fabrication of what we believe is the first example of a two dimensional nonlinear periodic crystal\cite{berger}, where the refractive index is constant but in which the 2nd order nonlinear susceptibility is spatially…

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find diffusive trajectories, which share their appearance with that of laminar chaotic diffusion [Phys. Rev. Lett. 128, 074101 (2022)] known from delay…

Chaotic Dynamics · Physics 2023-01-18 David Müller-Bender , Rahil N. Valani , Günter Radons

We study localized traveling waves and chaotic states in strongly nonlinear one-dimensional Hamiltonian lattices. We show that the solitary waves are super-exponentially localized, and present an accurate numerical method allowing to find…

Pattern Formation and Solitons · Physics 2009-11-13 Karsten Ahnert , Arkady Pikovsky

We investigate the possibility to control the symmetry of ordered states in phase-field crystal models by tuning nonlinear resonances. In two dimensions, we find that a state of square symmetry as well as coexistence between squares and…

Materials Science · Physics 2015-05-19 Kuo-An Wu , Mathis Plapp , Peter W Voorhees

Photonic crystals are extremely sensitive to structural disorder even to the point of completely losing their functionalities. While on one side this can be detrimental for applications in traditional optical devices, on the other side, it…

Optics · Physics 2015-05-20 P. D. Garcia , R. Sapienza , C. Toninelli , C. Lopez , D. S. Wiersma

This paper summarises a numerical investigation of phase mixing in time-independent Hamiltonian systems that admit a coexistence of regular and chaotic phase space regions, allowing also for low amplitude perturbations idealised as periodic…

Astrophysics · Physics 2007-05-23 Henry E. Kandrup , Steven J. Novotny

We predict the emergence of a time crystal generated by an incoherently driven and dissipative nonlinear optical oscillator, where the nonlinearity also comes from dissipation. We show that a second-order dissipative phase transition of…

Quantum Physics · Physics 2020-08-19 Fabrizio Minganti , Ievgen I. Arkhipov , Adam Miranowicz , Franco Nori

The existence of phase-separated states is an essential feature of infinite-volume systems with a thermal, first-order phase transition. At energies between those at which the phase transition takes place, equilibrium homogeneous states are…

Optical chaos is a topic of current research characterized by high-dimensional nonlinearity which is attributed to the delay-induced dynamics, high bandwidth and easy modular implementation of optical feedback. In light of these facts,…

Optics · Physics 2011-03-01 S. Banerjee , L. Rondoni , S. Mukhopadhyay , A. P. Misra

The new mechanism for obtaining a nonlinear phase shift has been proposed and the schemes are described for its implementation. As it is shown, the interference of two waves with intensity-dependent amplitude ratio coming from the second…

Optics · Physics 2007-05-23 V. P. Drachev , S. V. Perminov

While a generic open quantum system decays to its steady state, continuous time crystals (CTCs) develop spontaneous oscillation and never converge to a stationary state. Just as crystals develop correlations in space, CTCs do so in time.…

Quantum Physics · Physics 2025-10-23 Parvinder Solanki , Fabrizio Minganti

A two-mode optical parity-time (PT) symmetric system, with gain and damping, described by a quantum quadratic Hamiltonian with additional small Kerr-like nonlinear terms, is analyzed from the point of view of nonclassical-light generation.…

Quantum Physics · Physics 2019-11-14 Jan Perina , Antonin Luks , Joanna K. Kalaga , Wieslaw Leonski , Adam Miranowicz

Hyperuniform disorder is a type of correlated disorder characterized by vanishing spectral density at small wavevectors, making the configuration effectively homogeneous on long length scales. In photonics, hyperuniform disorder is…

Optics · Physics 2026-03-05 Zeyu Zhang , Koorosh Sadri , Brian Gould , Mikael Rechtsman

We show a novel kind of nonlinear waves in two-dimensional photonic lattices. This waves take the form of light clusters that may fill an arbitrary number of lattice sites. We have demonstrated by numerical simulations that stable…

Pattern Formation and Solitons · Physics 2007-05-23 Jose Ramon Salgueiro , Humberto Michinel , Maria I. Rodas-Verde

We investigate the spatial quantum noise properties of the one dimensional transverse pattern formation instability in intra-cavity second-harmonic generation. The Q representation of a quasi-probability distribution is implemented in terms…

Quantum Physics · Physics 2007-05-23 M. Bache , P. Scotto , R. Zambrini , M. San Miguel , M. Saffman

Thermotropic liquid crystals are versatile optical materials that exhibit a state of matter intermediate between liquids and solids. Their properties can change significantly with temperature, pressure, or other external factors, leading to…

Hyperchaos is a qualitatively stronger form of chaos, in which several degrees of freedom contribute simultaneously to exponential divergence of small changes. A hyperchaotic dynamical system is therefore even more unpredictable than a…

Chaotic Dynamics · Physics 2025-12-19 Lina Halef , Itay Shomroni
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