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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

An optical speckle potential is used to investigate the static and dynamic properties of a Bose-Einstein condensate in the presence of disorder. For strong disorder the condensate is localized in the deep wells of the potential. With…

Other Condensed Matter · Physics 2009-11-10 J. E. Lye , L. Fallani , M. Modugno , D. Wiersma , C. Fort , M. Inguscio

The dynamics of a dark soliton in an elongated Bose-Einstein condensate at finite temperatures is studied using numerical simulations. We find that in the presence of harmonic confinement the soliton may oscillate even at finite…

Statistical Mechanics · Physics 2009-11-11 B. Jackson , N. P. Proukakis , C. F. Barenghi

We analyse the dynamical properties of three-dimensional solitary waves in cylindrically trapped Bose-Einstein condensates. Families of solitary waves bifurcate from the planar dark soliton and include the solitonic vortex, the vortex ring…

Quantum Gases · Physics 2016-01-05 Antonio Muñoz Mateo , Joachim Brand

We systematically construct stationary soliton states in a one-component, two-dimensional, repulsive, Gross-Pitaevskii equation with a ring-shaped target-like trap similar to the potential used to confine a Bose-Einstein condensate in a…

Quantum Gases · Physics 2019-06-05 M. Haberichter , P. G. Kevrekidis , R. Carretero-Gonzalez , M. Edwards

The excitations of a two-dimensional (2D) Bose-Einstein condensate in the presence of a soliton are studied by solving the Kadomtsev-Petviashvili equation which is valid when the velocity of the soliton approaches the speed of sound. The…

Superconductivity · Physics 2009-11-13 Shunji Tsuchiya , Franco Dalfovo , Lev P. Pitaevskii

We consider the three-dimensional (3D) mean-field model for the Bose-Einstein condensate (BEC), with a 1D nonlinear lattice (NL), which periodically changes the sign of the nonlinearity along the axial direction, and the harmonic-oscillator…

Quantum Gases · Physics 2012-02-21 L. Salasnich , B. A. Malomed

We experimentally generate two-dimensional Jones-Roberts solitons in a three-dimensional atomic Bose-Einstein condensate by imprinting a triangular phase pattern. By monitoring their dynamics we observe that this kind of solitary waves are…

In this paper, we consider the dynamical evolution of dark vortex states in the two-dimensional defocusing discrete nonlinear Schroedinger model, a model of interest both to atomic physics and to nonlinear optics. We find that in a way…

Pattern Formation and Solitons · Physics 2008-07-06 J. Cuevas , G. James , P. G. Kevrekidis , K. J. H. Law

We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized ``impurity'' in Bose-Einstein condensates (BECs). We study the generation and stability of a pair of steady states in the vicinity of…

Other Condensed Matter · Physics 2010-12-10 G. Herring , P. G. Kevrekidis , R. Carretero-Gonzalez , B. A. Malomed , D. J. Frantzeskakis , A. R. Bishop

By means of variational methods and systematic numerical analysis, we demonstrate the existence of stable solitons in three-dimensional (3D) free space, in the context of binary atomic condensates combining contact self-attraction and…

Quantum Gases · Physics 2015-12-23 Yong-Chang Zhang , Zheng-Wei Zhou , Boris A. Malomed , Han Pu

In the framework of coupled 1D Gross-Pitaevskii equations, we explore the dynamics of a binary Bose-Einstein condensate where the intra-component interaction is repulsive, while the inter-component one is attractive. The existence regimes…

Quantum Gases · Physics 2023-01-31 K. K. Ismailov , B. B. Baizakov , F. Kh. Abdullaev , M. Salerno

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 present an analytical and numerical study of the dynamics and stability of exciton-polariton condensates described by the open-dissipative Gross-Pitaevskii equation, incorporating both binary and short-range three-body interactions.…

Quantum Gases · Physics 2026-03-27 P. Raman , R. Radha , Pankaj K. Mishra , Paulsamy Muruganandam

The Bose-Einstein condensate (BEC) of a dilute gas of bosons is well described by the three-dimensional Gross-Pitaevskii equation (3D GPE), that is a nonlinear Schrodinger equation. By imposing a transverse confinement the BEC can travel…

Pattern Formation and Solitons · Physics 2009-11-07 Luca Salasnich

Adopting a mean-field description for a two-component atomic Bose-Einstein condensate, we study the stat- ics and dynamics of dark-bright solitons in the presence of localized impurities. We use adiabatic perturbation theory to derive an…

Quantum Gases · Physics 2015-06-03 V. Achilleos , P. G. Kevrekidis , V. M. Rothos , D. J. Frantzeskakis

We propose a realistic experimental setup for creating quasi-two-dimensional (2D) bright solitons in dipolar Bose-Einstein condensates (BECs), the existence of which was proposed in Phys. Rev. Lett. 100, 090406 (2008). A challenging feature…

Quantum Gases · Physics 2015-06-04 Patrick Köberle , Damir Zajec , Günter Wunner , Boris Malomed

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

Soft Condensed Matter · Physics 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati

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 stability of singly- and doubly-quantized vortex states of harmonically trapped dipolar Bose-Einstein Condensates (BECs) by calculating the low-lying excitations of these condensates. We map the dynamical stability of these…

Other Condensed Matter · Physics 2010-02-08 Ryan M. Wilson , Shai Ronen , John L. Bohn