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Two aspects of bright matter-wave solitons in weak external potentials are discussed. First, we briefly review recent results on the Anderson localization of an entire soliton in disordered potentials [Sacha et al. PRL 103, 210402 (2009)],…

Quantum Gases · Physics 2011-03-01 Cord A. Mueller

A new type of soliton with controllable speed is constructed generalizing the theory of slow-light propagation to an integrable regime of nonlinear dynamics. The scheme would allow the quantum-information transfer between optical solitons…

Quantum Physics · Physics 2007-05-23 Ulf Leonhardt

We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present. Thus, dissipative solitons in systems which do not have oscillatory states, such as the prototypical…

Pattern Formation and Solitons · Physics 2013-02-15 P. Parra-Rivas D. Gomila , M. A. Matias , P. Colet

We investigate bright and dark solitons with anomalous or normal dispersion and under transverse harmonic confinement. In matter waves, positive atomic mass implies anomalous dispersion (kinetic spreading) while negative mass gives normal…

Other Condensed Matter · Physics 2009-11-11 L. Salasnich , A. Parola , L. Reatto

Solitons are important nonperturbative excitations in superfluids. For holographic superfluids, we numerically construct dark solitons that have the symmetry-restored phase at their core. A central point is that we include the gravitational…

High Energy Physics - Theory · Physics 2020-04-15 Zhongshan Xu , Yiqiang Du , Johanna Erdmenger , René Meyer , Yu Tian , Zhuo-Yu Xian

Optical solitons or soliton-like states shed light to blue-shifted frequencies through a resonant emission process. We predict a mechanism by which a second propagating mode is generated. This mode, called negative resonant radiation…

We theoretically investigate the scattering of bright solitons in a Bose-Einstein condensate on narrow attractive potential wells. Reflection, transmission and trapping of an incident soliton are predicted to occur with remarkably abrupt…

Quantum Gases · Physics 2010-03-25 T. Ernst , J. Brand

We analyze optical soliton propagation in the presence of weak absorption lines with much narrower linewidths as compared to the soliton spectrum width using the novel perturbation analysis technique based on an integral representation in…

Optics · Physics 2010-03-25 V. L. Kalashnikov , E. Sorokin

We study two-color surface solitons in two-dimensional photonic lattices with quadratic nonlinear response. We demonstrate that such parametrically coupled optical localized modes can exist in the corners or at the edges of a square…

Pattern Formation and Solitons · Physics 2015-05-13 Mario I. Molina , Yuri S. Kivshar

Optical solitary waves (solitons) that interact in a nonlinear system can bind and form a structure similar to a molecule. The rich dynamics of this process have created a demand for rapid spectral characterization to deepen the…

Optics · Physics 2023-06-21 Lukasz A. Sterczewski , Jaroslaw Sotor

Collective excitations, such as vortex-antivortex and dark solitons, are among the most fascinating effects of macroscopic quantum states. However, 2D dark solitons are unstable and collapse into vortices due to snake instabilities. Making…

We address the existence and properties of solitons in thermal media with periodic modulation of linear refractive index. Many kinds of solitons in such optical lattices, including symmetric and antisymmetric lattices, are found under…

Optics · Physics 2011-12-30 Xuekai Ma , Zhenjun Yang , Daquan Lu , Wei Hu

Buildup and switching mechanisms of solitons in complex nonlinear systems are fundamentally important dynamical regimes. Using a novel strongly nonlinear optical system,the work reveals a new buildup scenario for soliton molecules , which…

We present numerical and analytical results for the reflection and transmission properties of matter wave solitons impinging on localized scattering potentials in one spatial dimension. Our mean field analysis identifies regimes where the…

Quantum Gases · Physics 2012-10-22 Sidse Damgaard Hansen , Nicolai Nygaard , Klaus Mølmer

Dynamics of solitons is considered in the framework of an extended nonlinear Schrodinger equation (NLSE), which is derived from a system of the Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves. The…

Optics · Physics 2014-03-05 E. M. Gromov , B. A. Malomed

Intense light propagating in a nonlinear medium can generate an ensemble of interacting filaments of light, or spatial solitons. Using nematic liquid crystals, we demonstrate that they undergo a collective behavior typical of complex…

Optics · Physics 2009-11-11 Claudio Conti , Marco Peccianti , Gaetano Assanto

We investigate the dynamics of nonlinear optical Thouless pumps in the presence of disorder, using optical waveguide arrays. It was previously known that the displacement of solitons in Thouless pumps is quantized and may exhibit integer…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Abhijit P. Chaudhari , Marius Jürgensen , Mikael C. Rechtsman

Ring dark and anti-dark solitons in nonlocal media are found. These structures have, respectively, the form of annular dips or humps on top of a stable continuous-wave background, and exist in a weak or strong nonlocality regime, defined by…

Optics · Physics 2016-04-20 Theodoros P. Horikis , Dimitrios J. Frantzeskakis

We predict the existence of a new type of spatiotemporal solitons ("light bullets") in two-dimensional self-induced-transparency media with refractive index modulation in the direction transverse to that of pulse propagation. These…

Pattern Formation and Solitons · Physics 2009-10-31 M. Blaauboer , G. Kurizki , B. A. Malomed

We identify a class of potentials for which the scattering of flat-top solitons and thin-top solitons of the nonlinear Schr\"odinger equation with dual nonlinearity can be reflectionless. The scattering is characterized by sharp resonances…

Pattern Formation and Solitons · Physics 2023-01-18 L. Al Sakkaf , U. Al Khawaja
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