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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

The aim of this paper is to perform a numerical and analytical study of a rotating Bose Einstein condensate placed in a harmonic plus Gaussian trap, following the experiments of \cite{bssd}. The rotational frequency $\Omega$ has to stay…

Quantum Gases · Physics 2012-09-27 Amandine Aftalion , Peter Mason

The theoretical investigation of rotating Bose-Einstein condensates has mainly focused on the emergence of quantum vortex states and the condensed properties of such systems. In the present work, we concentrate on other facets by examining…

Quantum Gases · Physics 2023-03-14 Sunayana Dutta , Axel U. J. Lode , Ofir E. Alon

We consider a gas of N(=6, 10, 15) Bose particles with hard-core repulsion, contained in a quasi-2D harmonic trap and subjected to an overall angular velocity $\Omega$ about the z-axis. Exact diagonalization of the $n\times n$ many-body…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. A. H. Ahsan , N. Kumar

Rapidly rotating Bose-Einstein condensates confined in anharmonic traps can exhibit a rich variety of vortex phases, including a vortex lattice, a vortex lattice with a hole, and a giant vortex. Using an augmented Thomas-Fermi variational…

Statistical Mechanics · Physics 2009-11-07 George Kavoulakis , Gordon Baym

The restoration of symmetries is one of the most fascinating properties of turbulence. We report a study of the emergence of isotropy in the Gross-Pitaevskii model with anisotropic forcing. Inspired by recent experiments, we study the…

Quantum Gases · Physics 2023-01-16 Yuto Sano , Nir Navon , Makoto Tsubota

We study the motion of a vortex dipole in a Bose-Einstein condensate confined to an anisotropic trap. We focus on a system of ordinary differential equations describing the vortices' motion, which is in turn a reduced model of the…

Quantum Gases · Physics 2015-03-31 Roy H. Goodman , Panayotis G. Kevrekidis , Ricardo Carretero-Gonzalez

The ground state of a rotating Bose-Einstein condensate trapped in a two-dimensional anharmonic--anisotropic potential is analyzed numerically at the limit of an infinite number of particles. We find that the density breaks up along the $x$…

Quantum Gases · Physics 2024-12-05 Sunayana Dutta , Axel U. J. Lode , Ofir E. Alon

We observed the expansion of vortex-free Bose-condensates after their sudden release from a slowly rotating anisotropic trap. Our results show clear experimental evidence of the irrotational flow expected for a superfluid. The expansion…

Statistical Mechanics · Physics 2009-11-07 G. Hechenblaikner , E. Hodby , S. A. Hopkins , O. M. Marago' , C. J. Foot

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 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

We study a Bose-Einstein condensate of 52Cr atoms confined in a toroidal trap with a variable strength of s-wave contact interactions. We analyze the effects of the anisotropic nature of the dipolar interaction by considering the…

Quantum Gases · Physics 2015-05-18 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

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

We study a modified three-dimensional Gross-Pitaevski equation that describes a static impurity in a dipolar Bose-Einstein condensate (BEC). Our focus is on the interplay between the shape of the impurity and the anisotropy of the medium…

Quantum Gases · Physics 2024-11-28 Neelam Shukla , Artem G. Volosniev , Jeremy R. Armstrong

The nucleation of vortices and the resulting structures of vortex arrays in dilute, trapped, zero-temperature Bose-Einstein condensates are investigated numerically. Vortices are generated by rotating a three-dimensional, anisotropic…

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

Rapidly rotating atomic gases provide a platform for studying phenomena akin to type-II superconductors and quantum Hall systems. Recently, these systems have attracted renewed interest due to technological advances in the trap anisotropy…

Quantum Gases · Physics 2025-05-23 A. Keles

The equation of motion of a quantized vortex filament in a trapped Bose-Einstein condensate [A. A. Svidzinsky and A. L. Fetter, Phys. Rev. A {\bf 62}, 063617 (2000)] has been generalized to the case of an arbitrary anharmonic anisotropic…

Quantum Gases · Physics 2016-09-14 V. P. Ruban

A rapidly rotating Bose-Einstein condensate in a symmetric two-dimensional trap can be described with the lowest Landau-level set of states. In this case, the condensate wave function psi(x,y) is a Gaussian function of r^2 = x^2 + y^2,…

Statistical Mechanics · Physics 2009-11-11 Alexander L. Fetter

We consider a 3D dilute Bose-Einstein condensate at thermal equilibrium in a rotating harmonic trap. The condensate wavefunction is a local minimum of the Gross-Pitaevskii energy functional and we determine it numerically with the very…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michele Modugno , Ludovic Pricoupenko , Yvan Castin

We consider vortex dynamics in the context of Bose-Einstein Condensates (BEC) with a rotating trap, with or without anisotropy. Starting with the Gross-Pitaevskii (GP) partial differential equation (PDE), we derive a novel reduced system of…

Quantum Gases · Physics 2018-07-04 Shuangquan Xie , Panayotis G. Kevrekidis , Theodore Kolokolnikov