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We investigate formation of Bose-Einstein condensates under non-equilibrium conditions using numerical simulations of the three-dimensional Gross-Pitaevskii equation. For this, we set initial random weakly nonlinear excitations and the…

Quantum Gases · Physics 2022-03-23 Vishwanath Shukla , Sergey Nazarenko

Vortices in a Bose-Einstein condensate are modelled as spontaneously symmetry breaking minimum energy solutions of the time dependent Gross-Pitaevskii equation, using the method of constrained optimization. In a non-rotating axially…

Quantum Gases · Physics 2021-08-09 Julien Garaud , Jin Dai , Antti J. Niemi

We study the collective excitations of a neutral atomic Bose-Einstein condensate with gravity-like $1/r $ interatomic attraction induced by electromagnetic wave. Using the time-dependent variational approach, we derive an analytical…

Condensed Matter · Physics 2007-05-23 Tarun Kanti Ghosh

A scissors mode of a rotating Bose-Einstein condensate is investigated both theoretically and experimentally. The condensate is confined in an axi-symmetric harmonic trap, superimposed with a small rotating deformation. For angular…

Statistical Mechanics · Physics 2009-11-07 Marco Cozzini , Sandro Stringari , Vincent Bretin , Peter Rosenbusch , Jean Dalibard

We derive, from the Gross-Pitaevskii equation, an exact expression for the velocity of any vortex in a Bose-Einstein condensate, in equilibrium or not, in terms of the condensate wave function at the center of the vortex. In general, the…

Other Condensed Matter · Physics 2009-11-11 Halvor M. Nilsen , Gordon Baym , C. J. Pethick

We calculate the hydrodynamic solutions for a dilute Bose-Einstein condensate with long-range dipolar interactions in a rotating, elliptical harmonic trap, and analyse their dynamical stability. The static solutions and their regimes of…

Other Condensed Matter · Physics 2015-06-25 R. M. W. van Bijnen , D. H. J. O'Dell , N. G. Parker , A. M. Martin

We present a study on the development of rotating turbulence in Bose-Einstein condensates with a dissipative Gross-Pitaevskii model. Turbulence is generated by driving the lattice of quantized vortices in a harmonic potential with a random…

Quantum Gases · Physics 2024-03-19 Yuto Sano , Makoto Tsubota

Static and dynamic properties of vortices in a two-component Bose-Einstein condensate with Rashba spin-orbit coupling are investigated. The mass current around a vortex core in the plane-wave phase is found to be deformed by the spin-orbit…

Quantum Gases · Physics 2017-04-12 Masaya Kato , Xiao-Fei Zhang , Hiroki Saito

The low-lying hydrodynamic normal modes of a dilute Bose-Einstein gas in an isotropic harmonic trap determine the corresponding Bogoliubov amplitudes. In the Thomas-Fermi limit, these modes have large low-temperature occupation numbers, and…

Statistical Mechanics · Physics 2009-10-30 Alexander L. Fetter , Daniel Rokhsar

We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly-interacting condensate as well as the response to an external driving show a pronounced…

Other Condensed Matter · Physics 2008-12-04 D. Witthaut , F. Trimborn , S. Wimberger

The rotational motion of an interacting Bose-Einstein condensate confined by a harmonic trap is investigated by solving the hydrodynamic equations of superfluids, with the irrotationality constraint for the velocity field. We point out the…

Condensed Matter · Physics 2009-10-31 A. Recati , F. Zambelli , S. Stringari

We study the rotational properties of a dipolar Bose-Einstein condensate confined in a quasi-two- dimensional anisotropic trap, for an arbitrary orientation of the dipoles with respect to their plane of motion. Within the mean-field…

Quantum Gases · Physics 2011-05-12 F. Malet , T. Kristensen , S. M. Reimann , G. M. Kavoulakis

When a turbulent Bose-Einstein condensate is driven out-of-equilibrium at a scale much smaller than the system size, nonlinear wave interactions transfer particles towards large scales in an inverse cascade process. In this work, we study…

Quantum Gases · Physics 2026-04-14 Ying Zhu , Giorgio Krstulovic , Sergey Nazarenko

The study of the non-equilibrium dynamics in Bose-Einstein condensed gases has been dominated by the zero-temperature, mean field Gross-Pitaevskii formalism. Motivated by recent experiments on the reflection of condensates from silicon…

Statistical Mechanics · Physics 2009-11-11 R. G. Scott , C. W. Gardiner , D. A. W. Hutchinson

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 a harmonically-confined Bose-Einstein condensate under rotation. Vortex lattice configurations are investigated through a variational approach. Vortices with more than a unit of angular momentum are not stable. We explicitly show…

Condensed Matter · Physics 2009-11-07 V. Subrahmanyam

We present an experimental method for rotating a Bose-Einstein condensate trapped in an axisymmetric magnetic potential. This method is based on the anharmonicity of the trapping potential, which couples the center-of-mass motion of the…

Quantum Gases · Physics 2015-01-13 Seji Kang , J. Choi , S. W. Seo , W. J. Kwon , Y. Shin

The effects of a sudden increase and decrease of the interatomic interaction and harmonic-oscillator trapping potential on vortices in a quasi two-dimensional rotating Bose-Einstein condensate are investigated using the mean-field…

Soft Condensed Matter · Physics 2015-06-24 Sadhan K. Adhikari , Paulsamy Muruganandam

We consider the dynamical properties of density fluctuations in the cigar-shaped Bose-Einstein condensate described by the logarithmic wave equation with a constant nonlinear coupling by using the Thomas-Fermi and linear approximations. It…

Quantum Gases · Physics 2022-06-27 Konstantin G. Zloshchastiev

We study a rotating Bose-Einstein Condensate in a strongly anharmonic trap (flat trap with a finite radius) in the framework of 2D Gross-Pitaevskii theory. We write the coupling constant for the interactions between the gas atoms as…

Mathematical Physics · Physics 2007-07-10 M. Correggi , T. Rindler-Daller , J. Yngvason
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