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The behaviour of a harmonically trapped dipolar Bose-Einstein condensate with its dipole moments rotating at angular frequencies lower than the transverse harmonic trapping frequency is explored in the co-rotating frame. We obtain…

We theoretically investigate vortex-lattice phases of rotating spinor Bose-Einstein condensates (BEC) with the ferromagnetic spin-interaction by numerically solving the Gross-Pitaevskii equation. The spinor BEC under slow rotation can…

Soft Condensed Matter · Physics 2009-11-10 Takeshi Mizushima , Naoko Kobayashi , Kazushige Machida

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

Recently, Freilich et al. [Science 329, 1182 (2010)] experimentally discovered stationary states of vortex dipoles, pairs of vortices of opposite circulation, in dilute Bose-Einstein condensates. To explain their observations, we perform…

Quantum Gases · Physics 2011-02-02 Pekko Kuopanportti , Jukka A. M. Huhtamäki , Mikko Möttönen

We analyse the rotation of bright solitary waves formed of atomic Bose-Einstein condensates with attractive atomic interactions. By employing a variational technique and assuming an irrotational quadrupolar flow field, we map out the…

Other Condensed Matter · Physics 2009-11-13 N. A. Jamaludin , N. G. Parker , A. M. Martin

We present a unified description of different types of matter-wave solitons that can emerge in quasi one-dimensional spin-orbit coupled (SOC) Bose-Einstein condensates (BECs). This description relies on the reduction of the original…

Quantum Gases · Physics 2015-06-02 V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , P. Schmelcher , J. Stockhofe

Phase engineering techniques are used to control the dynamics of long-bosonic-Josephson-junction arrays built by linearly coupling Bose-Einstein condensates. Just at the middle point of the underlying discrete energy band of the system,…

Quantum Gases · Physics 2020-07-01 Dengling Zhang , Haibo Qiu , Antonio Muñoz Mateo

We present exact numerical solutions in the form of spatially localized three-dimensional (3D) nonrotating and rotating (azimuthon) multipole solitons in the Bose-Einstein condensate (BEC) confined by a parabolic trap. We numerically show…

Pattern Formation and Solitons · Physics 2009-11-13 V. M. Lashkin

We investigate the stability of dark solitons (DSs) in an effectively one-dimensional Bose-Einstein condensate in the presence of the magnetic parabolic trap and an optical lattice (OL). The analysis is based on both the full…

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

We analyze the dynamical stability of gap solitons formed in a quasi one-dimensional Bose-Einstein condensate in an optical lattice. Using two different numerical methods we show that, under realistic assumptions for experimental…

Soft Condensed Matter · Physics 2009-11-07 Karen Marie Hilligsoe , Markus K. Oberthaler , Karl-Peter Marzlin

By solving the three-dimensional Gross-Pitaevskii equation we generate two-dimensional axially-symmetric and anisotropic dipolar Bose-Einstein condensate bright solitons, for repulsive atomic interaction, stabilized by only a weak…

Quantum Gases · Physics 2015-06-03 S. K. Adhikari , P. Muruganandam

We analyze the dynamics of Bose-Einstein condensates loaded in rotating ring lattices made of a few sites, and show how rotation maps the states found in this finite system into those belonging to a static infinite lattice. Ring currents…

Quantum Gases · Physics 2019-03-06 A. Muñoz Mateo , V. Delgado , M. Guilleumas , R. Mayol , J. Brand

Motivated by recent experimental observations, we study theoretically multiple bright solitary waves of trapped Bose-Einstein condensates. Through variational and numerical analyses, we determine the threshold for collapse of these states.…

Other Condensed Matter · Physics 2009-12-31 N. G. Parker , A. M. Martin , C. S. Adams , S. L. Cornish

We study numerically the outcome of the phase separation instability of a dual-species Bose-Einstein condensate in an optical lattice. When only one excitation mode is unstable a bound pair of a bright and dark soliton-like structures…

Other Condensed Matter · Physics 2009-11-06 Uttam Shrestha , Juha Javanainen , Janne Ruostekoski

Motivated by recent experimental and theoretical studies of fewparticle vortex clusters in Bose-Einstein condensates, we consider the ordinary differential equations of motion and systematically examine settings for up to N = 6 vortices. We…

Pattern Formation and Solitons · Physics 2015-06-16 Anna M. Barry , P. G. Kevrekidis

We consider the Gross-Pitaevskii (GP) equation in the presence of periodic and quasiperiodic superlattices to study cigar-shaped Bose-Einstein condensates (BECs) in such potentials. We examine spatially extended wavefunctions in the form of…

Pattern Formation and Solitons · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis

The existence, stability, and dynamics of bound pairs of symbiotic matter waves in the form of dark-bright soliton pairs in two-component mixtures of atomic Bose-Einstein condensates is investigated. Motivated by the tunability of the…

Quantum Gases · Physics 2017-03-16 G. C. Katsimiga , J. Stockhofe , P. G. Kevrekidis , P. Schmelcher

We examine the spectral properties of single and multiple matter-wave dark solitons in Bose-Einstein condensates confined in parabolic traps, where the scattering length is periodically modulated. In addition to the large-density limit…

Pattern Formation and Solitons · Physics 2017-05-24 P. G. Kevrekidis , R. Carretero-Gonzalez , D. J. Frantzeskakis

We produce three vast classes of exact periodic and soliton solutions to the one-dimensional Gross-Pitaevskii equation (GPE) with the pseudopotential in the form of a nonlinear lattice (NL), induced by a spatially periodic modulation of the…

Pattern Formation and Solitons · Physics 2010-12-14 C. H. Tsang , Boris A. Malomed , K. W. Chow

Spatiotemporal evolution of a confined Bose-Einstein condensate is studied by numerically integrating the time-dependent Gross-Pitaevskii equation. Self-interference between the successively expanding and reflecting nonlinear matter waves…

Superconductivity · Physics 2009-11-13 Shi-Jie Yang , Quan-Sheng Wu , Shiping Feng , Yu-Chuan Wen , Yue Yu