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In this article, we focus on the stability of dark solitons for a general one-dimensional nonlinear Schr\"odinger equation. More precisely, we prove the orbital stability of a chain of travelling waves whose speeds are well ordered, taken…

Analysis of PDEs · Mathematics 2024-09-09 Jordan Berthoumieu

Clouds of cold neutral atoms driven by a coherent light beam in a ring cavity exhibit self-structured states transversely with respect to the beam axis due to optomechanical forces and the back action of the atomic structures on the beam.…

Atomic Physics · Physics 2022-03-02 Giuseppe Baio , Thorsten Ackemann , Gian-Luca Oppo , Gordon R. M. Robb , Alison M. Yao

The magnetic excitations of the square-lattice spin-1/2 antiferromagnet and high-Tc parent La2CuO4 are determined using high-resolution inelastic neutron scattering. Sharp spin waves with absolute intensities in agreement with theory…

Strongly Correlated Electrons · Physics 2009-10-31 R. Coldea , S. M. Hayden , G. Aeppli , T. G. Perring , C. D. Frost , T. E. Mason , S. -W. Cheong , Z. Fisk

In this work, we study the collision of an atomic dark-bright soliton, in a two-component Bose-Einstein condensate, with a Gaussian barrier or well. First, we present the results of an experiment, illustrating the classical particle…

Two-dimensional honeycomb ferromagnets offer the unprecedented opportunity to study interactions between collective modes that in standard bulk ferromagnets do not cross paths. Indeed, they harbor an optical spin-wave branch, i.e. a spin…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Sayandip Ghosh , Guido Menichetti , Mikhail I. Katsnelson , Marco Polini

Nonlocality is a key feature of many physical systems since it prevents a catastrophic collapse and a symmetry-breaking azimuthal instability of intense wave beams in a bulk self-focusing nonlinear media. This opens up an intriguing…

Pattern Formation and Solitons · Physics 2017-02-16 V. M. Biloshytskyi , A. O. Oliynyk , P. M. Kruglenko , A. S. Desyatnikov , A. I. Yakimenko

Antisymmetric exchange interactions lead to non-reciprocal spin-wave propagation. As a result, spin waves confined in a nanostructure are not standing waves; they have a time-dependent phase, because counter-propagating waves of the same…

Mesoscale and Nanoscale Physics · Physics 2023-02-10 Jun-Wen Xu , Grant A. Riley , Justin M. Shaw , Hans T. Nembach , Andrew D. Kent

Black solitons are identical in the nonlinear Schr\"{o}dinger (NLS) equation with intensity-dependent dispersion and the cubic defocusing NLS equation. We prove that the intensity-dependent dispersion introduces new properties in the…

Analysis of PDEs · Mathematics 2022-05-23 Dmitry E. Pelinovsky , Michael Plum

We investigate scenarios in which dark matter is stabilized by an abelian Z_N discrete gauge symmetry. Models are surveyed according to symmetries and matter content. Multi-component dark matter arises when N is not prime and Z_N contains…

High Energy Physics - Phenomenology · Physics 2011-02-18 Brian Batell

We study the 1D dynamics of dark-dark solitons in the miscible regime of two density-coupled Bose-Einstein condensates having repulsive interparticle interactions within each condensate ($g>0$). By using an adiabatic perturbation theory in…

Quantum Gases · Physics 2018-04-25 I. Morera , A. Muñoz Mateo , A. Polls , B. Juliá-Díaz

We investigate the impact of nonlocality, owing to diffusive behavior, on transverse instabilities of a dark stripe propagating in a defocusing cubic medium. The nonlocal response turns out to have a strongly stabilizing effect both in the…

Optics · Physics 2012-02-02 Andrea Armaroli , Andrea Fratalocchi , Stefano Trillo

Two channels of the sd exchange interaction are considered in magnetic junctions. The first channel describes the interaction of transversal spins with the lattice magnetization. The second one describes the interaction of longitudinal…

Materials Science · Physics 2010-10-22 S. G. Chigarev , E. M. Epshtein , Yu. V. Gulyaev , P. E. Zilberman

We demonstrate that a spin current flowing through a nano-contact into a uniaxial antiferromagnet with first- and second-order anisotropy can excite a self-localized dynamic magnetic soliton, known as a spin-wave droplet in ferromagnets.…

Mesoscale and Nanoscale Physics · Physics 2024-06-14 Roman V. Ovcharov , Mohammad Hamdi , Boris A. Ivanov , Johan Åkerman , Roman S. Khymyn

In this work dark soliton collisions in a one-dimensional superfluid Fermi gas are studied across the BEC-BCS crossover by means of a recently developed finite-temperature effective field theory [S. N. Klimin, J. Tempere, G. Lombardi, J. T.…

Quantum Gases · Physics 2018-07-06 Wout Van Alphen , Giovanni Lombardi , Sergei N. Klimin , Jacques Tempere

In this review we try to capture some of the recent excitement induced by experimental developments, but also by a large volume of theoretical and computational studies addressing multi-component nonlinear Schrodinger models and the…

Quantum Gases · Physics 2015-12-22 P. G. Kevrekidis , D. J. Frantzeskakis

We report a stable magnetic domain wall in a uniform ferromagnetic spin-1 condensate, characterized by the magnetization having a dark soliton profile with nonvanishing superfluid density. We find exact stationary solutions for a particular…

Quantum Gases · Physics 2021-04-21 Xiaoquan Yu , P. B. Blakie

We study bright solitons in a Bose-Einstein condensate with a spin-orbit coupling that has been realized experimentally. Both stationary bright solitons and moving bright solitons are found. The stationary bright solitons are the ground…

Quantum Gases · Physics 2013-01-25 Yong Xu , Yongping Zhang , Biao Wu

Dark sectors with strong interactions have received considerable interest. Assuming the existence of a minimally coupled dark sector which runs to strong interactions in the infrared, we address the question whether the scaling behavior of…

High Energy Physics - Phenomenology · Physics 2016-09-28 Christoph Englert , Karl Nordström , Michael Spannowsky

A minimal coupling quantum hydrodynamic model of spin-1/2 fermions at the full spin polarization corresponding to a nonlinear Schrodinger equation is considered. The nonlinearity is primarily caused by the Fermi pressure. It provides an…

Quantum Gases · Physics 2021-04-21 Pavel A. Andreev

We consider the stability and dynamics of multiple dark solitons in cigar-shaped Bose-Einstein condensates (BECs). Our study is motivated by the fact that multiple matter-wave dark solitons may naturally form in such settings as per our…

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