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We study the formation of a large-scale coherent structure (a condensate) in classical wave equations by considering the defocusing nonlinear Schr\"odinger equation as a representative model. We formulate a thermodynamic description of the…

Statistical Mechanics · Physics 2009-11-11 Colm Connaughton , Christophe Josserand , Antonio Picozzi , Yves Pomeau , Sergio Rica

An experimental study is conducted to show the effect of the change in bandwidth of light on the spectral degree of coherence at a pair of points in the cross-section of a beam. For this purpose a polychromatic source and a monochromator…

Optics · Physics 2019-01-21 Bhaskar Kanseri , Hem Chandra Kandpal

We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Thomas Wellens , Benoit Gremaud

Using simple kinematics, we propose a general theory of linear wave interactions between the interfacial waves of a two dimensional (2D), inviscid, multi-layered fluid system. The strength of our formalism is that one does not have to…

Fluid Dynamics · Physics 2017-04-05 Anirban Guha , Firdaus E. Udwadia

We consider a quasi-one-dimensional two-component Bose-Einstein condensate subject to a coherent coupling between its components, such as realized in spin-orbit coupled condensates. We study how nonlinearity modifies the dynamics of the…

Quantum Gases · Physics 2016-04-20 T. Congy , A. Kamchatnov , N. Pavloff

Beam splitters are not-free operations with regard to quantum coherence. As a consequence, they can create coherence from both coherent and incoherent states. We investigate the increase in coherence produced by cascades of beam splitters.…

Quantum Physics · Physics 2024-06-18 Guillermo Díez , Laura Ares , Alfredo Luis

We study the kinematics of nonlinear resonance broadening of interacting Rossby waves as modelled by the Charney-Hasegawa-Mima equation on a biperiodic domain. We focus on the set of wave modes which can interact quasi-resonantly at a…

Chaotic Dynamics · Physics 2015-06-12 Jamie Harris , Colm Connaughton , Miguel D. Bustamante

We consider a round turbulent jet grazing a rectangular plate angled at $45^\circ$. Through sound pressure measurements, the tonal dynamics associated with jet-edge interaction are explored in a parameter space comprising jet Mach number,…

Fluid Dynamics · Physics 2026-03-26 Michael N. Stavropoulos , André V. G. Cavalieri , Lutz Lesshafft , Peter Jordan

Precision spectroscopy of solid-state systems is challenging due to inhomogeneous broadening. We describe a technique -- coherent quantum beats -- that enables the measurement of small frequency shifts within an inhomogeneously broadened…

Atomic Physics · Physics 2023-07-04 Harish D. Ramachandran , Julia E. Ford , Amar C. Vutha

Coherent structures are solutions to reaction-diffusion systems that are time-periodic in an appropriate moving frame and spatially asymptotic at $x=\pm\infty$ to spatially periodic travelling waves. This paper is concerned with sources…

Analysis of PDEs · Mathematics 2015-05-27 Margaret Beck , Toan Nguyen , Bjorn Sandstede , Kevin Zumbrun

We have imagined a numerical experiment to explore the onset of turbulent intermittency associated with a spatial perturbation of the correlation length. We place two isotropic regions, with different integral scales, inside a volume where…

Fluid Dynamics · Physics 2012-11-29 Daniela Tordella , Michele Iovieno

We consider a diatomic chain characterized by a cubic anharmonic potential. After diagonalizing the harmonic case, we study in the new canonical variables, the nonlinear interactions between the acoustical and optical branches of the…

Statistical Mechanics · Physics 2021-03-16 A. Pezzi , G. Deng , Y. Lvov , M. Lorenzo , M. Onorato

A novel study on harmonic frequency combs emitted by Quantum Cascade Lasers (QCLs) is here presented, demonstrating the presence of intensity correlations between twin modes characterising the emission spectra. These originate from a…

The boundary conditions at the deformable interface between two contacting fluids are derived for the general case of the large-amplitude perturbations. The interface is modeled as perturbed free boundary that evolves in time, and the…

Fluid Dynamics · Physics 2018-03-13 Ivan V. Kazachkov

Based on the Wigner distribution approach, an analysis of the effect of partial incoherence on the transverse instability of soliton structures in nonlinear Kerr media is presented. It is explicitly shown, that for a Lorentzian incoherence…

Optics · Physics 2009-11-10 D. Anderson , L. Helczynski-Wolf , M. Lisak , V. Semenov

The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first to the study of bilinear and multilinear wave interactions,…

Analysis of PDEs · Mathematics 2007-05-23 Daniel Tataru

Density perturbations and their dynamic evolution from early to late times can be used for an improved understanding of interesting physical phenomena both in cosmology and in the context of heavy-ion collisions. We discuss the spectrum and…

High Energy Physics - Phenomenology · Physics 2015-03-11 Nikolaos Brouzakis , Stefan Floerchinger , Nikolaos Tetradis , Urs Achim Wiedemann

Quantum dynamics of integrable systems is discussed. Localized wave packets generalizing the conventional coherent states of minimal uncertainty are constructed. The wave packet moves along a certain trajectory and does not change its shape…

Quantum Physics · Physics 2015-06-26 Z. Haba

We demonstrate a new technique for the experimental measurement of the spectral coherence of microresonator optical frequency combs. Specifically, we use a spectral interference method, typically used in the context of supercontinuum…

We investigate the decoherence dynamics of continuous variable entanglement as the system-environment coupling strength varies from the weak-coupling to the strong-coupling regimes. Due to the existence of localized modes in the…

Quantum Physics · Physics 2016-10-14 Yu-Chen Lin , Pei-Yun Yang , Wei-Min Zhang
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