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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

We study the vortex lattices in a Bose-Einstein Condensate in a rotating anisotropic harmonic trap. We first investigate the single particle wavefunctions obtained by the exact solution of the problem and give simple expressions for these…

Condensed Matter · Physics 2009-11-10 M. O. Oktel

We present an analytical solution for the vortex lattice in a rapidly rotating trapped Bose-Einstein condensate (BEC) in the lowest Landau level and discuss deviations from the Thomas-Fermi density profile. This solution is exact in the…

Quantum Gases · Physics 2015-05-13 S. I. Matveenko , D. Kovrizhin , S. Ouvry , G. V. Shlyapnikov

We investigate a two-dimensional Bose-Einstein condensate that is optically driven via a retro-reflecting mirror, forming a single optical feedback loop. This induces a peculiar type of long-range atomic interaction with highly oscillatory…

Quantum Gases · Physics 2021-02-10 Yong-Chang Zhang , Valentin Walther , Thomas Pohl

We study the rotation of a $^{87}$Rb Bose-Einstein condensate confined in a magnetic trap to which a focused, off resonant gaussian laser beam is superimposed. The confining potential is well approximated by the sum of a quadratic and a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vincent Bretin , Sabine Stock , Yannick Seurin , Jean Dalibard

We study spontaneous-symmetry-broken phase-separated vortex lattice in a weakly interacting uniform rapidly rotating binary Bose superfluid contained in a quasi-two-dimensional circular or square bucket. For the inter-species repulsion…

Quantum Gases · Physics 2019-12-30 S K Adhikari

The properties of a rotating Bose-Einstein condensate confined in a prolate cylindrically symmetric trap are explored both analytically and numerically. As the rotation frequency increases, an ever greater number of vortices are…

Statistical Mechanics · Physics 2009-11-07 D. L. Feder , C. W. Clark

We establish the general equations of motion for the modes of a vortex lattice in a rapidly rotating Bose-Einstein condensate in three dimensions, taking into account the elastic energy of the lattice and the vortex line bending energy. As…

Soft Condensed Matter · Physics 2009-11-10 S. Andrew Gifford , Gordon Baym

We study the equilibrium states of a vortex in a Bose-Einstein condensate in a one-dimensional optical lattice. We find that quantum effects can be important and that it is even possible for the vortex to be strongly squeezed, which…

Statistical Mechanics · Physics 2014-10-13 J. -P. Martikainen , H. T. C. Stoof

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

We describe the density profiles of confined atomic Bose gases in the high-rotation limit, in single-layer and multi-layer geometries. We show that, in a local density approximation, the density in a single layer shows a landscape of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. R. Cooper , F. J. M. van Lankvelt , J. W. Reijnders , K. Schoutens

We present a classical field simulation study of the thermal melting of a two-dimensional vortex lattice in a rotating Bose gas, focusing on the role of finite-size effects on the melting temperature. This work constitutes a numerical…

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 experimentally and numerically study the collapse dynamics of a quantum vortex in a two-dimensional atomic superfluid following a fast interaction ramp from repulsion to attraction. We find the conditions and time scales for a superfluid…

We consider quantum droplets in dipolar Bose-Einstein condensates (BECs) embedded in optical lattices within the framework of Gross-Pitaevskii equations. In dipolar BECs, the long-range and anistropic dipole-dipole interaction provides an…

Quantum Gases · Physics 2026-04-03 Sk Siddik , Golam Ali Sekh

We investigate the vortex lattices of harmonically confined quasi-two-dimensional tilted rotational dipolar Bose-Einstein condensates. By employing an extended Gross-Pitaevskii equation for a rotating condensate, we reveal the structural…

Quantum Gases · Physics 2026-05-12 Mamta Ale , Harsimranjit Kaur , Kuldeep Suthar

We study the rotational properties of a Bose-Einstein condensate confined in a rotating harmonic trap for different trap anisotropies. Using simple arguments, we derive expressions for the velocity field of the quantum fluid for condensates…

Statistical Mechanics · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia

Recent experiments demonstrate that rapidly rotating Bose-Einstein condensates (BECs) near the lowest Landau level can self-organize into interaction-driven persistent quantum Hall droplet arrays. Inspired by this discovery, we investigate…

Quantum Gases · Physics 2026-01-07 Zhen Cao , Siying Li , Zhendong Li , Xinyi Liu , Zhigang Wu , Mingyuan Sun

When Bose-Eintein condensates are rotated sufficiently fast, a giant vortex phase appears, that is the condensate becomes annular with no vortices in the bulk but a macroscopic phase circulation around the central hole. In a former paper…

Mathematical Physics · Physics 2015-05-19 Nicolas Rougerie

We investigate a shift in the critical temperature of rotating Bose-Einstein condensates mediated by the melting of the vortex lattice. Numerical simulations reveal that this temperature exhibits contrasting behavior depending on the system…

Quantum Gases · Physics 2024-12-10 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni