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Vortex states of weakly-interacting Bose-Einstein condensates confined in three-dimensional rotating harmonic traps are investigated numerically at zero temperature. The ground state in the rotating frame is obtained by propagating the…

Statistical Mechanics · Physics 2009-10-31 David L. Feder , Charles W. Clark , Barry I. Schneider

The dynamical stability of nonstationary states of homogeneous spin-2 rubidium Bose-Einstein condensates is studied. The states considered are such that the spin vector remains parallel to the magnetic field throughout the time evolution,…

Quantum Gases · Physics 2012-05-21 H. Mäkelä , E. Lundh

Quantized vortices are the hallmark of superfluidity, and are often sought out as the first observable feature in new superfluid systems. Following the recent experimental observation of vortices in Bose-Einstein condensates comprised of…

Quantum Gases · Physics 2023-09-07 Thomas Bland , Giacomo Lamporesi , Manfred J. Mark , Francesca Ferlaino

Starting from the equations of rotational hydrodynamics we study the macroscopic behaviour of a trapped Bose-Einstein condensate containing a large number of vortices. The stationary configurations of the system, the frequencies of the…

Soft Condensed Matter · Physics 2009-11-07 Marco Cozzini , Sandro Stringari

We review the theory of vortices in trapped dilute Bose-Einstein condensates and compare theoretical predictions with existing experiments. Mean-field theory based on the time-dependent Gross-Pitaevskii equation describes the main features…

Statistical Mechanics · Physics 2009-11-07 Alexander Fetter , Anatoly Svidzinsky

We study vortex dynamics in trapped two-component Bose-Einstein condensates with a laser- induced spin-orbit coupling using the numerical analysis of the Gross-Pitaevskii equation. The spin-orbit coupling leads to three distinct ground…

Quantum Gases · Physics 2015-12-09 Kenichi Kasamatsu

We report on the experimental characterization of energetic and dynamical instability, two mechanisms responsible for the breakdown of Bloch waves in a Bose-Einstein condensate interacting with a 1D optical lattice. A clear separation of…

Other Condensed Matter · Physics 2009-11-10 L. De Sarlo , L. Fallani , J. E. Lye , M. Modugno , R. Saers , C. Fort , M. Inguscio

We consider two-dimensional spin-orbit coupled atomic Bose-Einstein condensate in a radially-periodic potential. The system supports different types of stable self-sustained states including radially-symmetric vorticity-carrying modes with…

Quantum Gases · Physics 2019-03-28 Yaroslav V. Kartashov , Dmitry A. Zezyulin

We have experimentally studied the unstable dynamics of a harmonically trapped Bose-Einstein condensate loaded into a 1D moving optical lattice. The lifetime of the condensate in such a potential exhibits a dramatic dependence on the…

Soft Condensed Matter · Physics 2009-11-10 L. Fallani , L. De Sarlo , J. E. Lye , M. Modugno , R. Saers , C. Fort , M. Inguscio

A rotating, two-component Bose-Einstein condensate is shown to exhibit vortices of multiple quantization, which are possible due to the interatomic interactions between the two species. Also, persistent currents are absent in this system.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Christensson , S. Bargi , K. Karkkainen , Y. Yu , G. M. Kavoulakis , M. Manninen , S. M. Reimann

Based on a velocity formula derived by matched asymptotic expansion, we investigate the dynamics of a circular vortex ring in an axisymmetric Bose-Einstein condensate in the Thomas-Fermi limit. The trajectory for an axisymmetrically placed…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. -L. Horng , S. -C. Gou , T. -C. Lin

We derive a set of equations that describe the shape and behaviour of a single perturbed vortex line in a Bose-Einstein condensate. Through the use of a matched asymptotic expansion and a unique coordinate transform a relation for a…

Quantum Gases · Physics 2013-05-30 Lyndon Koens , Andrew M. Martin

We investigate the appearance of vortices and vortex lattices in two-dimensional, anisotropic and rotating Bose-Einstein condensates. Once the anisotropy reaches a critical value, the positions of the vortex cores in the ground state are no…

Other Condensed Matter · Physics 2010-07-23 S. McEndoo , Th. Busch

We present a unified approach for qualitative and quantitative analysis of stability and instability dynamics of positive bright solitons in multi-dimensional focusing nonlinear media with a potential (lattice), which can be periodic,…

Pattern Formation and Solitons · Physics 2009-11-13 Y. Sivan , G. Fibich , B. Ilan , M. I. Weinstein

In this paper we consider a completely Liouville integrable Hamiltonian system with two degrees of freedom, which describes the dynamics of two vortex filaments in a Bose-Einstein condensate enclosed in a cylindrical trap. For vortex pairs…

Exactly Solvable and Integrable Systems · Physics 2018-12-11 Pavel E. Ryabov

Quantum vortices in the multi-component Bose-Einstein condensation (BEC) are investigated theoretically. It is found that three kinds of the vortex configurations are possible and their physical properties are discussed in details,…

Soft Condensed Matter · Physics 2009-10-31 Tomoya Isoshima , Kazushige Machida , Tetsuo Ohmi

We study a rotating two-component Bose-Einstein condensate in which an optically induced Josephson coupling allows for population transfer between the two species. In a regime where separation of species is favored, the ground state of the…

Condensed Matter · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia , F. Sols

Three-dimensional solitary and vortex structures in Bose-Einstein condensates are studied in the framework of Gross-Pitaevskii model including the simultaneous action of local cubic-quintic nonlinearity and nonlocal dipole-dipole…

Pattern Formation and Solitons · Physics 2009-11-13 Yu. A. Zaliznyak , A. I. Yakimenko

Specific topological excitations of energetically stable "core-and-mantle" configurations of trapped two-component immiscible Bose-Einstein condensates are studied numerically within the coupled Gross-Pitaevskii equations. Non-stationary…

Quantum Gases · Physics 2022-01-26 Victor P. Ruban

We consider the condensate wavefunction of a rapidly rotating two-component Bose gas with an equal number of particles in each component. If the interactions between like and unlike species are very similar (as occurs for two hyperfine…

Condensed Matter · Physics 2009-11-07 Erich J. Mueller , Tin-Lun Ho