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Motivated by recent experimental results, we study beating dark-dark solitons as a prototypical coherent structure that emerges in two-component Bose-Einstein condensates. We showcase their connection to dark- bright solitons via SO(2)…

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

Motivated by the experimental development of quasi-homogeneous Bose-Einstein condensates confined in box-like traps, we study numerically the dynamics of dark solitons in such traps at zero temperature. We consider the cases where the side…

Quantum Gases · Physics 2017-02-01 M. Sciacca , C. F. Barenghi , N. G. Parker

Matter-wave interference mechanisms in one-dimensional Bose-Einstein condensates that allow for the controlled generation of dark soliton trains upon choosing suitable box-type initial configurations are described. First, the direct…

Quantum Gases · Physics 2021-03-03 A. Romero-Ros , G. C. Katsimiga , P. G. Kevrekidis , B. Prinari , G. Biondini , P. Schmelcher

This paper suggests a method for an experiment to create dark soliton-like waves in a trapped atomic Bose-Einstein condensate (BEC). With the phase imprinting method, a soliton-like disturbance is produced along the x-axis. The method is…

Other Condensed Matter · Physics 2009-08-09 Eniko J. M. Madarassy

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

We consider formation of dissipationless shock waves in Bose-Einstein condensates with repulsive interaction between atoms. It is shown that big enough initial inhomogeneity of density leads to wave breaking phenomenon followed by…

Soft Condensed Matter · Physics 2009-11-10 A. M. Kamchatnov , A. Gammal , R. A. Kraenkel

We use a multiple time scale boundary layer theory to derive the equation of motion for a dark (or `grey') soliton propagating through an effectively one-dimensional cloud of Bose-Einstein condensate, assuming only that the background…

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

We demonstrate a dramatic change in the interaction forces between dark solitons in nonlocal nonlinear media. We present what we believe is the first experimental evidence of attraction of dark solitons. Our results indicate that attraction…

We propose an indirect method to observe radiation from an incomplete soliton with sufficiently large amplitude. We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space. The origin of…

Quantum Gases · Physics 2012-09-28 Hironobu Fujishima , Masahiko Okumura , Makoto Mine , Tetsu Yajima

Matter-wave bright solitons are predicted to reflect from a purely attractive potential well although they are macroscopic objects with classical particle-like properties. The non-classical reflection occurs at small velocities and a…

Other Condensed Matter · Physics 2007-05-23 Chaohong Lee , Joachim Brand

We derive a system of nonpolynomial Schroedinger equations (NPSEs) for one-dimensional wave functions of two components in a binary self-attractive Bose-Einstein condensate loaded in a cigar-shaped trap. The system is obtained by means of…

Other Condensed Matter · Physics 2009-11-11 Luca Salasnich , Boris A. Malomed

We discuss the possible observation of a new type of standing nonlinear atomic matter wave in the condensate: the nonlinear impurity mode. It is investigated dynamical effects of a bright soliton in Bose-Einstein-condensed (BEC) systems…

Soft Condensed Matter · Physics 2007-05-23 F. Kh. Abdullaev , A. Gammal , L. Tomio

Multi-component Bose-Einstein condensates exhibit an intriguing variety of nonlinear structures. In recent theoretical work, the notion of magnetic solitons has been introduced. Here we generalize this concept to vector dark-antidark…

Quantum Gases · Physics 2016-11-23 I. Danaila , M. A. Khamehchi , V. Gokhroo , P. Engels , P. G. Kevrekidis

We study experimentally and theoretically the dynamics of apparent dark soliton stripes in an elongated Bose-Einstein condensate. We show that for the trapping strengths corresponding to our experimental setup, the transverse confinement…

Quantum Gases · Physics 2014-12-03 C. Becker , K. Sengstock , P. Schmelcher , P. G. Kevrekidis , R. Carretero-Gonzalez

We study the dynamics of a dark-bright soliton interacting with a fixed impurity using a mean-field approach. The system is described by a vector nonlinear Schrodinger equation (NLSE) appropriate to multicomponent Bose-Einstein condensates.…

Quantum Gases · Physics 2019-09-04 Majed O. D. Alotaibi , Lincoln D. Carr

We present three types of dark solitons in quasi-one-dimensional spin-orbit coupled repulsive Bose-Einstein condensates. Among these families, two are always stable, while the third one is only stable sufficiently close to the linear…

Quantum Gases · Physics 2013-08-06 V. Achilleos , J. Stockhofe , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

A number of recent experiments with nearly pure atomic Bose-Einstein condensates have confirmed the predicted dark soliton oscillations when under harmonic trapping. However, a dark soliton propagating in an inhomogeneous condensate has…

Quantum Gases · Physics 2010-03-16 N. G. Parker , N. P. Proukakis , C. S. Adams

The motion of a dark soliton is investigated in a one-dimensional dilute Bose-Einstein condensate confined in a harmonic trap and an optical lattice. The harmonic trap induces a dynamical instability of the soliton, culminating in sound…

Condensed Matter · Physics 2009-11-10 N. G. Parker , N. P. Proukakis , C. F. Barenghi , C. S. Adams

The dark soliton created in a Bose-Einstein condensate becomes grey in course of time evolution because its notch fills up with depleted atoms. This is the result of quantum mechanical calculations which describes output of many…

Condensed Matter · Physics 2009-11-07 Jacek Dziarmaga , Zbyszek P. Karkuszewski , Krzysztof Sacha