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By identifying the similarities between the coupled-wave equations and the parametrically driven nonlinear Schr\"odinger equation, we unveil the existence condition of the quadratic soliton mode-locked degenerate optical parametric…

Optics · Physics 2020-05-26 Mingming Nie , Shu-Wei Huang

We consider a dynamical model for a Fermi gas in the Bardeen-Cooper-Schrieffer (BCS) superfluid state, trapped in a combination of a 1D or 2D optical lattice (OL) and a tight parabolic potential acting in the transverse direction(s). The…

Other Condensed Matter · Physics 2015-05-13 S. K. Adhikari , B. A. Malomed

We demonstrate the first fully controlled generation of immobile and slow spatial gap solitons in nonlinear periodic systems with band-gap spectra, and reveal the key features of gap solitons which distinguish them from conventional…

Pattern Formation and Solitons · Physics 2007-05-23 Dragomir Neshev , Andrey A. Sukhorukov , Brendan Hanna , Wieslaw Krolikowski , Yuri S. Kivshar

We demonstrate that a Bose-Einstein condensate in an optical lattice forms a reconfigurable matter-wave structure with a band-gap spectrum, which resembles a nonlinear photonic crystal for light waves. We study in detail the case of a…

Condensed Matter · Physics 2009-11-10 Elena A. Ostrovskaya , Yuri S. Kivshar

We discover that at the edge of optical lattice imprinted in saturable nonlinear media one-dimensional surface solitons exist only within a band of light intensities, and that they cease to exist when the lattice depth exceeds an upper…

An investigation of ultrashort pulsed laser induced surface modification due to conditions that result in a superheated melted liquid layer and material evaporation are considered. To describe the surface modification occurring after…

Mesoscale and Nanoscale Physics · Physics 2012-10-04 George D. Tsibidis , Marios Barberoglou , Panagiotis A. Loukakos , Emmanuel Stratakis , Costas Fotakis

We analyze the existence, stability, and mobility of gap solitons (GSs) in a periodic photonic structure built into a nonlocal self-defocusing medium. Counter-intuitively, the GSs are supported even by a highly nonlocal nonlinearity, which…

We report results of a systematic study of one-dimensional four-wave moving solitons in a recently proposed model of the Bragg cross-grating in planar optical waveguides with the Kerr nonlinearity; the same model applies to a fiber Bragg…

Pattern Formation and Solitons · Physics 2009-11-10 T. Mayteevarunyoo , Boris A. Malomed , P. L. Chu , A. Roeksabutr

I review the historical observation and subsequent research on optical soliton dynamics in gas-filled hollow-core optical fibres. I include both large-core hollow capillary fibres, and hollow-core photonic-crystal or microstructured fibres…

Optics · Physics 2023-11-30 John C. Travers

Coquelin et al. studied biperiodic semiconductor superlattices, which consist of alternating cell types, one with wide wells and the other narrow wells, separated by equal strength barriers. If the wells were identical, it would be a simply…

Quantum Physics · Physics 2009-11-13 D. W. L. Sprung , L. W. A. Vanderspek , W. Van Dijk , J. Martorell , C. Pacher

We experimentally demonstrate the trapping of a propagating Bose-Einstein Condensate in a Bragg cavity produced by an attractive optical lattice with a smooth envelope. As a consequence of the envelope, the band gaps become…

We suggest an efficient method for generating matter-wave gap solitons in a repulsive Bose-Einstein condensate, when the gap soliton is formed from a condensate cloud in a harmonic trap after turning on a one-dimensional optical lattice. We…

Pattern Formation and Solitons · Physics 2007-05-23 Michal Matuszewski , Wieslaw Krolikowski , Marek Trippenbach , Yuri S. Kivshar

We study effects of the spontaneous symmetry-breaking (SSB) in solitons built of the dipolar Bose-Einstein condensate (BEC), trapped in a dual-core system with the dipole-dipole interactions (DDIs) and hopping between the cores. Two…

Quantum Gases · Physics 2015-06-12 Yongyao Li , Jingfeng Liu , Wei Pang , Boris A. Malomed

Real-time spectroscopy based on an emerging time-stretch technique can map the spectral information of optical waves into the time domain, opening several fascinating explorations of nonlinear dynamics in mode-locked lasers. However, the…

Optics · Physics 2018-08-23 X. M. Liu , Y. D. Cui

A symmetrical structure consisting of a low refractive index dielectric layer between two metallic films, i.e. an optical cavity, surrounded by a semi-infinite dielectric medium of higher refractive index, forms an optical system capable of…

Optics · Physics 2025-05-06 Alejandro Doval , Yago Arosa , Raúl de la Fuente

We introduce a new notion of "matrix potential" to nonlinear optical systems. In terms of a matrix potential $g$, we present a gauge field theoretic formulation of the Maxwell-Bloch equation that provides a semiclassical description of the…

solv-int · Physics 2009-10-30 Q-Han Park , H. J. Shin

Our research focuses on the transmission gaps of charge carriers passing through phosphorene superlattice, which are made up of a series of barriers and wells generating $n$ identical cells. We determine the solutions of the energy spectrum…

Mesoscale and Nanoscale Physics · Physics 2022-08-30 Jilali Seffadi , Ilham Redouani , Youness Zahidi , Ahmed Jellal

We studied the high-harmonic generation by the interaction of sub-cycle laser pulses with the He atom. The sub-cycle pulses are modeled using the complex source vector beam model, which is an exact solution to Maxwell's equations and…

We study both analytically and numerically the nonlinear stage of the instability of one-dimensional solitons in a small vicinity of the transition point from supercritical to subcritical bifurcations in the framework of the generalized…

Pattern Formation and Solitons · Physics 2022-12-09 D. S. Agafontsev , F. Dias , E. A. Kuznetsov

We predict that photonic moir\'e patterns created by two mutually twisted periodic sublattices in quadratic nonlinear media allow the formation of parametric solitons under conditions that are strongly impacted by the geometry of the…

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