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We study the statics and dynamics of anisotropic, stable, bright and dark-in-bright dipolar quasi-two-dimensional Bose-Einstein condensate (BEC) solitons on a one-dimensional (1D) optical-lattice (OL) potential. These solitons mobile in a…

Quantum Gases · Physics 2019-08-22 S K Adhikari

We theoretically investigate the one-dimensional dynamics of a dark soliton in a two-component immiscible mixture of Bose-Einstein condensates with repulsive interactions. We analyze the reflection and transmission of a soliton when it…

Quantum Gases · Physics 2024-06-11 Maria Arazo , Montserrat Guilleumas , Ricardo Mayol , Michele Modugno

Dark soliton formation in mode-locked lasers is investigated by means of a power-energy saturation model which incorporates gain and filtering saturated with energy, and loss saturated with power. It is found that general initial conditions…

Stability of dark solitons generated by a supersonic flow of Bose-Einstein condensate past an obstacle is investigated. It is shown that in the reference frame attached to the obstacle a transition occurs at some critical value of the flow…

Other Condensed Matter · Physics 2009-11-13 A. M. Kamchatnov , L. P. Pitaevskii

We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these…

patt-sol · Physics 2009-10-31 Elena A. Ostrovskaya , Yuri S. Kivshar

Generation, interaction and detection of dark solitons in Bose-Einstein condensates is considered. In particular, we focus on the dynamics resulting from phase imprinting and density engineering. The generation of soliton pairs as well as…

Soft Condensed Matter · Physics 2009-11-07 S. Burger , L. D. Carr , P. Ohberg , K. Sengstock , A. Sanpera

A method for approximating dark soliton solutions of the nonlinear Schrodinger equation under the influence of perturbations is presented. The problem is broken into an inner region, where core of the soliton resides, and an outer region,…

Mathematical Physics · Physics 2015-05-19 Mark J. Ablowitz , Sean D. Nixon , Theodoros P. Horikis , Dimitri J. Frantzeskakis

In this work we present a systematic theoretical analysis regarding dark-bright solitons and their interactions, motivated by recent advances in atomic two-component repulsively interacting Bose-Einstein condensates. In particular, we study…

Quantum Gases · Physics 2017-01-25 G. C. Katsimiga , J. Stockhofe , P. G. Kevrekidis , P. Schmelcher

By numerical and variational analysis of the three-dimensional Gross-Pitaevskii equation we study the formation and dynamics of bright and vortex-bright solitons in a cigar-shaped dipolar Bose-Einstein condensate for large repulsive atomic…

Quantum Gases · Physics 2015-05-27 Luis E. Young-S. , P. Muruganandam , S. K. Adhikari

We present a theoretical analysis of three-dimensional (3D) matter-wave solitons and their stability properties in coupled atomic and molecular Bose-Einstein condensates (BEC). The soliton solutions to the mean-field equations are obtained…

Other Condensed Matter · Physics 2009-11-10 T. G. Vaughan , K. V. Kheruntsyan , P. D. Drummond

We consider the interaction of two-component bright-bright solitons with a narrow potential barrier (splitter) in the framework of a system of two Gross-Pitaevskii (nonlinear-Schr\"{o}dinger) equations modeling a binary Bose-Einstein…

Pattern Formation and Solitons · Physics 2020-05-06 Callum L. Grimshaw , Simon A. Gardiner , Boris A. Malomed

Solitons are localised wave disturbances that propagate without changing shape, a result of a nonlinear interaction which compensates for wave packet dispersion. Individual solitons may collide, but a defining feature is that they pass…

Quantum Gases · Physics 2014-12-10 Jason H. V. Nguyen , Paul Dyke , De Luo , Boris A. Malomed , Randall G. Hulet

Solitons in general are configurations of extended fields which move like isolated particles. Vector bright solitons can occur in a two-component self-attractive Bose-Einstein condensate. If the components of the condensate have different…

Pattern Formation and Solitons · Physics 2021-11-03 Timo Eichmann , James R. Anglin

The basic building blocks of many forms of optical topologies are particle-like singularities in phase and polarisation, giving rise to lines of darkness that weave complex threads in 3D space. Although known for half a century since…

We theoretically study bright and dark solitons in an experimentally relevant hybrid system characterized by strong light-matter coupling. We find that the corresponding two-component model supports a variety of coexisting moving solitons…

Pattern Formation and Solitons · Physics 2022-10-11 A. V. Yulin , D. A. Zezyulin

We theoretically study the properties of one-dimensional nonlinear saturable photonic lattices exhibiting multiple mobility windows for stationary solutions. The effective energy barrier decreases to a minimum in those power regions where a…

Pattern Formation and Solitons · Physics 2011-04-19 Uta Naether , Rodrigo A. Vicencio , Milutin Stepić

A long wavelength optical lattice is generated in a two-level medium by low-frequency contrapropagating beams. Then a short wave length gap soliton generated by evanescent boundary instability (supratransmission) undergoes a dynamics shown…

Other Condensed Matter · Physics 2015-05-14 Ramaz Khomeriki , Jerome Leon

The scattering of bright quantum solitons at barrier potentials in one-dimensional geometries is investigated. Such protocols have been predicted to lead to the creation of nonlocal quantum superpositions. The centre-of-mass motion of these…

Quantum Gases · Physics 2012-08-27 Bettina Gertjerenken , Christoph Weiss

We review a number of topics germane to higher-dimensional solitons in Bose-Einstein condensates. For dark solitons, we discuss dark band and planar solitons; ring dark solitons and spherical shell solitons; solitary waves in restricted…

Other Condensed Matter · Physics 2010-06-01 L. D. Carr , Joachim Brand

In this Letter we further develop the proposed approach of optical manipulation based on the interactions of non-linear optical effects with nanoparticles. The interaction of the dissipative optical solitons with nanoparticles is studied…

Optics · Physics 2020-04-22 D. A. Dolinina , A. S. Shalin , A. V. Yulin
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