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Using a focused laser beam we stir a $^{87}$Rb Bose-Einstein condensate confined in a magnetic trap. We observe that the steady states of the condensate correspond to an elliptic cloud, stationary in the rotating frame. These steady states…

Statistical Mechanics · Physics 2009-11-07 K. W. Madison , F. Chevy , V. Bretin , J. Dalibard

In this paper, we answer a question raised by Len Pitaevskii and prove that the ground state of the Gross-Pitaevskii energy describing a Bose Einstein condensate at low rotation does not have vortices in the low density region. Therefore,…

Mathematical Physics · Physics 2010-12-09 Amandine Aftalion , Robert L. Jerrard , Jimena Royo-Letelier

We studied spin-dependent two-body inelastic collisions in F=2 87Rb Bose-Einstein condensates both experimentally and theoretically. The 87Rb condensates were confined in an optical trap and selectively prepared in various spin states in…

We present a comprehensive study of modulational instability (MI) in a binary Bose-Einstein condensate with spin-orbit coupling, confined to a deep optical lattice. The system is modeled by a set of discrete Gross-Pitaevskii equations.…

Quantum Gases · Physics 2025-09-19 R. Sasireka , S. Sabari , A. Uthayakumar , Lauro Tomio

Rotating properties of Bose-Einstein condensates in synthetic magnetic field are studied by numerically solving the Gross-Pitaevskii equation and compared with condensates confined in the rotating trap. It seems that it is more difficult to…

Quantum Gases · Physics 2022-03-23 Qiang Zhao , Qiang Gu

We report on a study of the spin-1 ferromagnetic Bose-Einstein condensate with magnetic dipole-dipole interactions. By solving the non-local Gross-Pitaevskii equations for this system, we find three ground-state phases. Moreover, we show…

Other Condensed Matter · Physics 2007-05-23 Yuki Kawaguchi , Hiroki Saito , Masahito Ueda

In this paper we demonstrate a technique that can create out-of-equilibrium vortex configurations with almost arbitrary charge and geometry in a Bose-Einstein condensate. We coherently transfer orbital angular momentum from a…

Quantum Gases · Physics 2015-05-27 Johannes F. S. Brachmann , Waseem S. Bakr , Jonathon Gillen , Amy Peng , Markus Greiner

The realization of artificial gauge fields and spin-orbit coupling for ultra-cold quantum gases promises new insight into paradigm solid state systems. Here we experimentally probe the dispersion relation of a spin-orbit coupled…

Quantum Gases · Physics 2015-06-19 C. Hamner , Yongping Zhang , M. A. Khamehchi , Matthew J. Davis , P. Engels

We study the response of a trapped Bose-Einstein condensate to a sudden turn-on of a rotating drive by solving the two-dimensional Gross-Pitaevskii equation. A weakly anisotropic rotating potential excites a quadrupole shape oscillation and…

Condensed Matter · Physics 2009-11-07 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

A second-order expansion of the Gross-Pitaevskii equation in the interaction parameter determines the thermodynamic critical angular velocity Omega_c for the creation of a vortex in a small axisymmetric condensate. Similarly, a second-order…

Statistical Mechanics · Physics 2009-10-31 Marion Linn , Alexander L. Fetter

We report the spin texture formation resulting from the magnetic dipole-dipole interaction in a spin-2 $^{87}$Rb Bose-Einstein condensate. The spinor condensate is prepared in the transversely polarized spin state and the time evolution is…

Quantum Gases · Physics 2014-05-14 Yujiro Eto , Hiroki Saito , Takuya Hirano

We study the ground state magnetic properties of ferromagnetic spinor Bose-Einstein condensates confined in a deep optical lattices. In the Mott insulator regime, the ``mini-condensates'' at each lattice site behave as mesoscopic spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kevin Gross , Chris P. Search , Han Pu , Weiping Zhang , Pierre Meystre

We theoretically examine the rotation of an atomic Bose-Einstein condensate in an elliptical trap, both in the absence and presence of a quantized vortex. Two methods of introducing the rotating potential are considered - adiabatically…

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

We report the observation of vortex pinning in rotating gaseous Bose-Einstein condensates (BEC). The vortices are pinned to columnar pinning sites created by a co-rotating optical lattice superimposed on the rotating BEC. We study the…

Other Condensed Matter · Physics 2009-11-11 S. Tung , V. Schweikhard , E. A. Cornell

We investigate analytically the thermodynamical stability of vortices in the ground state of rotating 2-dimensional Bose-Einstein condensates confined in asymptotically homogeneous trapping potentials in the Thomas-Fermi regime. Our…

Mathematical Physics · Physics 2014-04-18 Tanja Rindler-Daller

We report the observation of vortex nucleation in a rotating optical lattice. A 87Rb Bose-Einstein condensate was loaded into a static two-dimensional lattice and the rotation frequency of the lattice was then increased from zero. We…

Quantum Gases · Physics 2010-02-05 R. A. Williams , S. Al-Assam , C. J. Foot

The quantized vortex state is investigated in a Bose-Einstein condensate, confined in a multiply connected geometry formed by a Laguerre-Gaussian optical trap. Solving the Gross-Pitaevskii equation variationally, we show that the criterium…

Condensed Matter · Physics 2009-11-07 J. Tempere , J. T. Devreese , E. R. I. Abraham

Recently, the simulation of moir\'e physics using cold atom platforms has gained significant attention. These platforms provide an opportunity to explore novel aspects of moir\'e physics that go beyond the limits of traditional condensed…

Quantum Gases · Physics 2025-04-08 Tian-Tian Li , Ze-Hong Guo , Xiao-Ning Wang , Qizhong Zhu

We study vortex excitations in one-component Bose-Einstein condensates, with a special emphasis on the role of anisotropic confinement for the existence, stability and dynamical properties of vortices and particularly few-vortex clusters.…

Quantum Gases · Physics 2014-04-02 J. Stockhofe , P. G. Kevrekidis , P. Schmelcher

The low lying excitations of coreless vortex states in F = 1 spinor Bose-Einstein condensates (BECs) are theoretically investigated using the Gross-Pitaevskii and Bogoliubov-de Gennes equations. The spectra of the elementary excitations are…

Other Condensed Matter · Physics 2009-03-09 M. Takahashi , V. Pietila , M. Mottonen , T. Mizushima , K. Machida
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