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We review old and recent experimental and theoretical results on bright solitons in Bose-Einstein condensates made of alkali-metal atoms and under external optical confinement. First we deduce the three-dimensional Gross-Pitaevskii equation…

Quantum Gases · Physics 2017-11-23 L. Salasnich

In the framework of the Gross-Pitaevskii equation, we study the formation and stability of effectively two-dimensional solitons in dipolar Bose-Einstein condensates (BECs), with dipole moments polarized at an arbitrary angle $\theta$…

Pattern Formation and Solitons · Physics 2017-11-08 Xing-You Chen , You-Lin Chuang , Chun-Yan Lin , Chien-Ming Wu , Yongyao Li , Boris A. Malomed , Ray-Kuang Lee

We consider a system of coupled Gross-Pitaevskii (GP) equations describing a binary quasi-one-dimensional Bose-Einstein condensate (BEC) with intrinsic time-dependent attractive interactions, placed in a time-dependent expulsive parabolic…

Quantum Gases · Physics 2015-09-02 R. Radha , P. S. Vinayagam , J. B. Sudharsan , Wu-Ming Liu , Boris A. Malomed

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic…

Quantum Physics · Physics 2007-05-23 M. Trippenbach , M. Matuszewski , B. A. Malomed

Dynamics and stability of solitons in two-dimensional (2D) Bose-Einstein condensates (BEC), with low-dimensional (1D) conservative plus dissipative nonlinear optical lattices are investigated. In the case of focusing media (with attractive…

Other Condensed Matter · Physics 2009-11-13 F. Kh. Abdullaev , A. Gammal , H. L. F. da Luz , Lauro Tomio

We suggest the possibility of observing and studying bright vortex solitons in attractive Bose-Einstein condensates in three dimensions with a radial trap. Such systems lie on the verge of critical stability and we discuss the conditions of…

Soft Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari

We analyze the scattering of bright solitons in dipolar Bose-Einstein condensates placed in unconnected layers. Whereas for short-range interactions unconnected layers are independent, a remarkable consequence of the dipole interaction is…

Other Condensed Matter · Physics 2013-05-29 R. Nath , P. Pedri , L. Santos

We consider a two-dimensional (2D) counterpart of the experiment that led to the creation of quasi-1D bright solitons in Bose-Einstein condensates (BECs) [Nature 417, 150--153 (2002)]. We start by identifying the ground state of the 2D…

Pattern Formation and Solitons · Physics 2015-06-11 Qian-Yong Chen , P. G. Kevrekidis , Boris A. Malomed

We study the dynamics of dark-bright solitons in binary mixtures of Bose gases at finite temperature using a system of two coupled dissipative Gross-Pitaevskii equations. We develop a perturbation theory for the two-component system to…

Quantum Gases · Physics 2015-05-30 V. Achilleos , D. Yan , P. G. Kevrekidis , D. J. Frantzeskakis

Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation we show that a bright soliton can be stabilized in a trapless three-dimensional attractive Bose-Einstein condensate (BEC) by a rapid periodic temporal…

Other Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari

We report the creation of dual-species Bose-Einstein condensates (BECs) of $^{7}$Li and $^{133}$Cs. These BECs are formed in a bichromatic optical dipole trap created with 1550-nm and 780-nm laser beams. During the production process, an…

Quantum Gases · Physics 2023-09-11 Y. -D. Chen , W. -X. Li , Y. -T. Sun , Q. -C. Chen , P. -Y. Chang , S. Tung

Recent advances in molecular cooling have enabled the realization of strongly dipolar Bose-Einstein condensates (BECs) of molecules, and BECs of many different molecular species may become experimentally accessible in the near future. Here,…

We study the formation of solitons in a uniform quasi-two-dimensional (quasi-2D) spin-orbit (SO) coupled self-repulsive binary dipolar and nondipolar Bose-Einstein condensate (BEC) using the mean-field Gross-Pitaevskii equation. For a weak…

Quantum Gases · Physics 2026-02-05 S. K. Adhikari

We investigate the existence and stability of three-dimensional (3D) solitons supported by cylindrical Bessel lattices (BLs) in self-focusing media. If the lattice strength exceeds a threshold value, we show numerically, and using the…

Pattern Formation and Solitons · Physics 2009-11-11 D. Mihalache , D. Mazilu , F. Lederer , B. A. Malomed , Y. V. Kartashov , L. -C. Crasovan , L. Torner

We study matter-wave bright solitons in spin-orbit (SO) coupled Bose-Einstein condensates (BECs) with attractive interatomic interactions. We use a multiscale expansion method to identify solution families for chemical potentials in the…

Quantum Gases · Physics 2013-08-09 V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , D. E. Pelinovsky

We demonstrate robust, stable, mobile excited states of quasi-two-dimensional (quasi-2D) dipolar Bose-Einstein condensate (BEC) solitons for repulsive contact interaction with a harmonic trap along the $x$ direction perpendicular to the…

Quantum Gases · Physics 2015-06-22 S. K. Adhikari

We study fundamental and vortical solitons in disk-morphed Bose-Einstein condensates (BECs) subject to strong confinement along the axial direction. Starting from the three-dimensional (3D) Gross-Pitaevskii equation (GPE), we proceed to an…

Quantum Gases · Physics 2015-05-13 Luca Salasnich , Boris A. Malomed

We present a widely accessible and experimentally realizable technique for the controlled creation of dark-bright solitons and soliton lattices in atomic Bose-Einstein condensates. The method is based on preparing the condensate in a dark…

Quantum Gases · Physics 2026-04-02 Y. Braver , D. Burba , Th. Busch , G. Juzeliūnas , P. G. Kevrekidis

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 investigate the stability properties of breather soliton trains in a three-dimensional Bose-Einstein Condensate with Feshbach Resonance Management of the scattering length. This is done so as to generate both attractive and repulsive…

Other Condensed Matter · Physics 2007-05-23 M. Matuszewski , E. Infeld , G. Rowlands , M. Trippenbach