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Related papers: Dark-bright soliton interactions beyond the integr…

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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

We present the explicit dark-bright three soliton solution and the associated spectral problem for the variable coefficient integrable coupled NLS equation. Using asymptotic analysis as well as graphical analysis we study the interactions…

Exactly Solvable and Integrable Systems · Physics 2017-12-01 Sudipta Nandy , Abhijit Barthakur

We study the spontaneous symmetry breaking of dipolar Bose--Einstein condensates trapped in stacks of two-well systems, which may be effectively built as one-dimensional trapping lattices sliced by a repelling laser sheet. If the potential…

Pattern Formation and Solitons · Physics 2017-08-04 Yongyao Li , Zhiwei Fan , Zhihuan Luo , Yan Liu , Hexiang He , Jiantao Lü , Jianing Xie , Chunqing Huang , Haishu Tan

We investigate, analytically and numerically, families of bright solitons in a system of two linearly coupled nonlinear Schrodinger/Gross-Pitaevskii equations, describing two Bose-Einstein condensates trapped in an asymmetric double-well…

Pattern Formation and Solitons · Physics 2015-06-26 Valery S. Shchesnovich , Boris A. Malomed , Roberto A. Kraenkel

Solitons are among the most distinguishing fundamental excitations in a wide range of non-linear systems such as water in narrow channels, high speed optical communication, molecular biology and astrophysics. Stabilized by a balance between…

Other Condensed Matter · Physics 2009-11-13 C. Becker , S. Stellmer , P. Soltan-Panahi , S. Dörscher , M. Baumert , E. -M. Richter , J. Kronjäger , K. Bongs , K. Sengstock

We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and long-range dipole-dipole (DD) interactions between atoms.…

Pattern Formation and Solitons · Physics 2015-05-14 Goran Gligorić , Aleksandra Maluckov , Milutin Stepić , Ljupčo Hadžievski , Boris A. Malomed

We investigate the formation of bound states between dark-antidark solitary waves in two-component dipolar Bose-Einstein condensates. The excitation spectrum contains density and spin branches, and a rotonic feature of the spin branch…

Quantum Gases · Physics 2026-04-17 R. M. V. Röhrs , R. N. Bisset

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

We consider one-dimensional solitons in a binary Bose-Einstein condensate with linear coupling between the components, trapped in an optical-lattice potential. The inter-species and intra-species interactions may be both repulsive or…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Boris A. Malomed

We analyze the dynamics of two-component vector solitons, namely bright-in-dark solitons, via the variational approximation in Bose-Einstein condensates. The system is described by a vector nonlinear Schr\"odinger equation appropriate to…

Quantum Gases · Physics 2017-07-12 Majed O. D. Alotaibi , Lincoln D. Carr

We investigate the dynamics of a dark-bright soliton in a harmonic potential using a mean-field approach via coupled nonlinear Schr\"odinger equations appropriate to multicomponent Bose-Einstein condensates. We use a modified perturbed…

Quantum Gases · Physics 2018-10-09 Majed O. D. Alotaibi , Lincoln D. Carr

We investigate non-degenerate bound state solitons systematically in multi-component Bose-Einstein condensates, through developing Darboux transformation method to derive exact soliton solutions analytically. In particular, we show that…

Quantum Gases · Physics 2020-06-19 Y. H. Qin , L. C. Zhao , L. M. Ling

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 study the interaction of dark-bright solitons in two component Bose-Einstein condensates by suitably tailoring the trap potential, atomic scattering length and atom gain or loss. We show that the coupled Gross-Pitaevskii (GP) equation…

Other Condensed Matter · Physics 2009-06-25 S. Rajendran , P. Muruganandam , M. Lakshmanan

Two-component Bose-Einstein condensates in the miscible phase can support polarization solitary waves, known as magnetic solitons. By calculating the interaction potential between two magnetic solitons, we elucidate the mechanisms and…

Quantum Gases · Physics 2025-11-21 R. M. V. Röhrs , Chunlei Qu , R. N. Bisset

Attractive Bose-Einstein condensates can host two types of macroscopic self-bound states of different nature: bright solitons and quantum liquid droplets. Here, we investigate the connection between them with a Bose-Bose mixture confined in…

Quantum Gases · Physics 2018-04-04 P. Cheiney , C. R. Cabrera , J. Sanz , B. Naylor , L. Tanzi , L. Tarruell

Thanks to their immense purity and controllability, dipolar Bose-Einstein condensates are an exemplar for studying fundamental non-local nonlinear physics. Here we show that a family of fundamental nonlinear waves - the dark solitons - are…

Quantum Gases · Physics 2017-07-05 T. Bland , K. Pawlowski , M. J. Edmonds , K. Rzazewski , N. G. Parker

In the present contribution, we explore a host of different stationary states, namely dark-bright solitons and their lattices, that arise in the context of multi-component atomic Bose-Einstein condensates. The latter, are modeled by systems…

Quantum Gases · Physics 2015-06-18 D. Yan , F. Tsitoura , P. G. Kevrekidis , D. J. Frantzeskakis

We study the statics and dynamics of dark solitons in a cigar-shaped Bose-Einstein condensate confined in a double-well potential. Using a mean-field model with a non-cubic nonlinearity, appropriate to describe the dimensionality crossover…

Quantum Gases · Physics 2015-03-13 S. Middelkamp , G. Theocharis , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

We theoretically demonstrate a mechanism for bright soliton generation in spinor non-equilibrium Bose-Einstein condensates made of atoms or quasiparticles such as polaritons in semiconductor microcavities. We give analytical expressions for…

Pattern Formation and Solitons · Physics 2016-05-10 F. Pinsker , H. Flayac