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Motivated by recent experiments, we theoretically study a gas of atomic bosons confined in an elliptical harmonic trap; forming a quasi-two-dimensional atomic Bose-Einstein condensate subject to a density-dependent gauge potential which…

Quantum Gases · Physics 2021-10-18 Matthew Edmonds

We consider a Bose-Einstein condensate, which is confined in a very tight toroidal/annular trap, in the presence of a potential, which breaks the axial symmetry of the Hamiltonian. We investigate the stationary states of the condensate,…

This article reviews developments in the theory of rapidly rotating degenerate atomic gases. The main focus is on the equilibrium properties of a single component atomic Bose gas, which (at least at rest) forms a Bose-Einstein condensate.…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 N. R. Cooper

In this article, we numerically investigate the vortex nucleation in a Bose-Einstein condensate trapped in a double-well potential and subjected to a density-dependent gauge potential. A rotating Bose-Einstein condensate, when confined in a…

Quantum Gases · Physics 2024-08-19 Ishfaq Ahmad Bhat , Bishwajyoti Dey

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

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

In this review, we give an overview of the experimental and theoretical advances in the physics of quantized vortices in dilute atomic-gas Bose--Einstein condensates in a trapping potential, especially focusing on experimental research…

Other Condensed Matter · Physics 2009-07-10 Kenichi Kasamatsu , Makoto Tsubota

The dynamics of a ring of vortices in two-dimensional Bose-Einstein condensates (with and without an additional vortex at the center) is studied for (1) a uniform condensate in a rigid cylinder and (2) a nonuniform trapped condensate in the…

Other Condensed Matter · Physics 2009-11-10 Jong-kwan Kim , Alexander L. Fetter

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

Quantum Gases · Physics 2020-06-30 Luca Giacomelli , Iacopo Carusotto

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

Quantum Gases · Physics 2020-07-29 Luca Giacomelli , Iacopo Carusotto

The instability condition of the non-vortex state toward vortex formation is exa mined within the Bogoliubov theory when a Bose-Einstein condensate is under exte rnally forced rotation. The obtained critical angular velocity combined with…

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

Superfluids are distinguished from ordinary fluids by the quantized manner the rotation is manifested in them. Precisely, quantized vortices are known to appear in the bulk of a superfluid subject to external rotation. In this work we study…

Quantum Gases · Physics 2015-10-09 Marios C. Tsatsos , Axel U. J. Lode

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

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

Using exact diagonalization, we investigate the many-body ground state for vortex patterns in a rotating Bose-condensed gas of $N$ spinless particles, confined in a quasi-two-dimensional harmonic trap and interacting repulsively via…

Quantum Gases · Physics 2020-06-02 Mohd. Imran , M. A. H. Ahsan

We consider a two-dimensional weakly interacting ultracold Bose gas whose constituents are two-level atoms. We study the effects of a synthetic density-dependent gauge field that arises from laser-matter coupling in the adiabatic limit with…

Quantum Gases · Physics 2016-01-20 Salvatore Butera , Manuel Valiente , Patrik Öhberg

We studied a rotating Bose-Einstein condensate confined in ring trap configurations that can be produced starting with a bubble trap confinement, approximated by a Mexican hat and shifted harmonic oscillator potentials. Using a variational…

Quantum Gases · Physics 2024-06-18 Guilherme Tomishiyo , Lucas Madeira , Mônica A. Caracanhas

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 construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

The vortex density of a rotating superfluid, divided by its particle mass, dictates the superfluid's angular velocity through the Feynman relation. To find how the Feynman relation applies to superfluid mixtures, we investigate a rotating…

Strongly Correlated Electrons · Physics 2009-11-13 Ryan Barnett , Gil Refael , Mason A. Porter , Hans Peter Buchler
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