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Multimode optical fibers has emerged as the platform that will bridge the gap between nonlinear optics in bulk media and in single-mode fibers. However, the understanding of the transition between these two research fields still remains…

Optics · Physics 2021-01-20 Bertrand Kibler , Pierre Béjot

We perform the first long-time exploration of the classical dynamics of a driven billiard with a four dimensional phase space. With increasing velocity of the ensemble we observe an evolution from a large chaotic sea with stickiness due to…

Chaotic Dynamics · Physics 2015-05-13 F. Lenz , C. Petri , F. N. R. Koch , F. K. Diakonos , P. Schmelcher

Polarizable particles trapped in a resonator-sustained optical-lattice potential generate strong position-dependent backaction on the intracavity field. In the quantum regime particles in different energy bands are connected to different…

Quantum Physics · Physics 2015-05-20 Dominik J. Winterauer , Wolfgang Niedenzu , Helmut Ritsch

Imperfections in multimode systems lead to mode-mixing and interferences between propagating modes. Such disorder is typically characterized by a finite correlation time (in quantum evolution) or correlation length (in paraxial evolution).…

Disordered Systems and Neural Networks · Physics 2019-04-24 Yaxin Li , Doron Cohen , Tsampikos Kottos

Lensed billiards are an extension of the notion of billiard dynamical systems obtained by adding a potential function of the form $C1_{\mathcal{A}}$, where $C$ is a real valued constant and $1_{\mathcal{A}}$ is the indicator function of an…

Chaotic Dynamics · Physics 2023-12-12 Timothy Chumley , Maeve Covey , Christopher Cox , Renato Feres

We report a dynamical phase transition from integrability to non-integrability in a simple oval-like billiard with boundary $R(\theta)=1+\epsilon\cos(p\theta)$. For $\epsilon=0$, the phase space is {\it foliated} by invariant curves…

The acclaimed Maxwell-Bloch (or Arecchi-Bonifacio) equations are a valid dynamical model, effectively describing wave propagation in nonlinear optical media: from the amplification in input-output devices to multimode instabilities arising…

Optics · Physics 2021-12-01 Giovanni Giacomelli , Serhiy Yanchuk , Antonio Politi

Bound states in the continuum (BICs) defy conventional wisdom that assumes a spectral separation between propagating waves, that carry energy away, and spatially localized waves corresponding to discrete frequencies. They can be described…

We demonstrate experimentally a new form of induced transparency, i.e., chaos-induced transparency, in a slightly deformed microcavity which support both continuous chaotic modes and discrete regular modes with Q factors exceeding 3X?10^7.…

Optics · Physics 2013-12-03 Yun-Feng Xiao , Xue-Feng Jiang , Qi-Fan Yang , Li Wang , Kebin Shi , Yan Li , Qihuang Gong

While billiard systems of various shapes have been used as paradigmatic model systems in the fields of nonlinear dynamics and quantum chaos, few studies have investigated anisotropic billiards. Motivated by the tremendous advances in using…

Universality is a powerful concept, which enables making qualitative and quantitative predictions in systems with extensively many degrees of freedom. It finds realizations in almost all branches of physics, including in the realm of…

Statistical Mechanics · Physics 2026-05-07 Lukas M. Sieberer , Michael Buchhold , Jamir Marino , Sebastian Diehl

The main purpose of part (III) is to give explicit geodesics and billiard orbits in polysquares that exhibit time-quantitative density. In many instances, we can even establish a best possible form of time-quantitative density called…

Number Theory · Mathematics 2022-05-18 J. Beck , W. W. L. Chen , Y. Yang

The low frequency part of the gravitational wave spectrum generated by local physics, such as a phase transition or parametric resonance, is largely fixed by causality, offering a clean window into the early Universe. In this work, this low…

High Energy Physics - Phenomenology · Physics 2021-03-17 Anson Hook , Gustavo Marques-Tavares , Davide Racco

We study classical and quantum scattering properties in the ballistic regime of particles in two-dimensional chaotic billiards that are models of electron- or micro- waveguides. To this end we construct the purely classical counterparts of…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. A. Méndez-Bermúdez , G. A. Luna-Acosta , P. Šeba , K. N. Pichugin

We study the effect of dynamical tunneling on emission from ray-chaotic microcavities by introducing a suitably designed deformed disk cavity. We focus on its high quality factor modes strongly localized along a stable periodic ray orbit…

The emergence of power laws that govern the large-time dynamics of a one-dimensional billiard of $N$ point particles is analysed. In the initial state, the resting particles are placed in the positive half-line $x\geqslant 0$ at equal…

Statistical Mechanics · Physics 2025-06-26 T. Holovatch , Yu. Kozitsky , K. Pilorz , Yu. Holovatch

Optical microcavities have received much attention over the last decade from different research fields ranging from fundamental issues of cavity QED to specific applications such as microlasers and bio-sensors. A major issue in the latter…

The purpose of this paper to analyze in some detail the arguably simplest case of diversity-induced reseonance: that of a system of globally-coupled linear oscillators subjected to a periodic forcing. Diversity appears as the parameters…

Adaptation and Self-Organizing Systems · Physics 2009-12-22 Raul Toral , Emilio Hernandez-Garcia , James D. Gunton

Superoscillations, i.e., the phenomenon that a bandlimited function can temporary oscillate faster than its highest Fourier component, are being much discussed for their potential for `superresolution' beyond the diffraction limit. Here, we…

Quantum Physics · Physics 2015-10-16 Achim Kempf , Angus Prain

We investigate a driven particle system, a multilane asymmetric exclusion process, where the particle number in every lane is conserved, and stationary state is fully uncorrelated. The phase space has, starting from three lanes and more, an…

Statistical Mechanics · Physics 2026-03-24 Johannes Schmidt , Žiga Krajnik , Vladislav Popkov