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We report the numerical realization and demonstration of robustness of certain 2-component structures in Bose-Einstein Condensates in 2 and 3 spatial dimensions with non-trivial topological charge in one of the components. In particular, we…

Pattern Formation and Solitons · Physics 2015-05-18 K. J. H. Law , P. G. Kevrekidis , Laurette S. Tuckerman

Collisional dynamics of solitary matter waves of superfluid hard core bosons, consisting of dark and bright non-linear waves as well as supersonic periodic trains, reveals remarkable richness and coherence, with the phase of the condensate…

Quantum Physics · Physics 2011-02-22 William P. Reinhardt , Indubala I. Satija , Bryce Robbins , Charles W. Clark

We analyze the Floquet-Bloch matter-wave spectrum of Bose-Einstein condensates loaded into single-periodic optical lattices and double-periodic superlattices. In the framework of the Gross-Pitaevskii equation, we describe the structure and…

Condensed Matter · Physics 2007-05-23 Pearl J. Y. Louis , Elena A. Ostrovskaya , Yuri S. Kivshar

We investigate dark-bright vector solitary wave solutions to the coupled non-linear Schr\"odinger equations which describe an inhomogeneous two-species Bose-Einstein condensate. While these structures are well known in non-linear fiber…

Condensed Matter · Physics 2009-10-31 Th. Busch , J. R. Anglin

Two-dimensional (2D) vector matter waves in the form of soliton-vortex and vortex-vortex pairs are investigated for the case of attractive intracomponent interaction in two-component Bose-Einstein condensates. Both attractive and repulsive…

Pattern Formation and Solitons · Physics 2015-05-13 A. I. Yakimenko , Yu. A. Zaliznyak , V. M. Lashkin

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

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

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 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 predict the existence and study the basic properties of strongly asymmetric matter wave solitons that form at the interface produced by regions with different inter-atomic interaction strengths in pancake Bose-Einstein condensates. We…

Materials Science · Physics 2009-11-11 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

We have created spatial dark solitons in two-component Bose-Einstein condensates in which the soliton exists in one of the condensate components and the soliton nodal plane is filled with the second component. The filled solitons are stable…

Condensed Matter · Physics 2009-10-31 B. P. Anderson , P. C. Haljan , C. A. Regal , D. L. Feder , L. A. Collins , C. W. Clark , E. A. Cornell

The properties of nonlinear interference pattern between atomic bright solitons are characterized analytically, with the aid of exact solutions of dynamical equation in mean-field approximation. It is shown that relative velocity, relative…

Quantum Gases · Physics 2018-04-06 Li-Chen Zhao , Guo-Guo Xin , Zhan-Ying Yang , Wen-Li Yang

We model the dynamics of formation of multiple, long-lived, bright solitary waves in the collapse of Bose-Einstein condensates with attractive interactions as studied in the experiment of Cornish et al. [Phys. Rev. Lett. 96 (2006) 170401].…

Other Condensed Matter · Physics 2015-05-13 B. J. Dabrowska-Wuester , S. Wuester , M. J. Davis

We show that a Bose-Einstein condensate and a portion of its surrounding thermal cloud can exhibit mutual self-trapping, supported by the attractive particle interactions, and not by the external confinement. This type of dynamics is…

Other Condensed Matter · Physics 2007-05-23 H. Buljan , M. Segev , A. Vardi

This work deals with matter-wave bright soliton molecules in spin-1 Bose-Einstein condensates described by three-component Gross-Pitaevskii equations with non-autonomous nonlinearities that can be tuned by Feshbach resonance management.…

Quantum Gases · Physics 2023-03-16 K. Sakkaravarthi , R. Babu Mareeswaran , T. Kanna

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

The form and stability of quantum vortices in Bose-Einstein condensates with attractive atomic interactions is elucidated. They appear as ring bright solitons, and are a generalization of the Townes soliton to nonzero winding number $m$. An…

Other Condensed Matter · Physics 2015-05-05 L. D. Carr , Charles W. Clark

We investigate bright matter-wave solitons in the presence of a spatially varying nonlinearity. It is demonstrated that a translation mode is excited due to the spatial inhomogeneity and its frequency is derived analytically and also…

Other Condensed Matter · Physics 2009-11-13 P. Niarchou , G. Theocharis , P. G. Kevrekidis , P. Schmelcher , D. J. Frantzeskakis

We study dark solitons near potential and nonlinearity steps and combinations thereof, forming rectangular barriers. This setting is relevant to the contexts of atomic Bose-Einstein condensates (where such steps can be realized by using…

Quantum Gases · Physics 2016-12-21 F. Tsitoura , Z. A. Anastassi , J. L. Marzuola , P. G. Kevrekidis , D. J. Frantzeskakis

We explore the stability and dynamics of dark-bright solitons in two-component elongated Bose-Einstein condensates by developing effective 1D vector equations as well as solving the corresponding 3D Gross-Pitaevskii equations. A strong…