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The behaviors of a rapid rotating Bose-Einstein condensate under extreme elongation in a 2D anisotropic harmonic plus quartic trap are investigated. Due to the quartic trap, the system remains stable at high rotating velocity, $\Omega\geq…

Other Condensed Matter · Physics 2012-06-13 C. C. Huang , C. H. Liu , W. C. Wu

We develop a stochastic Gross-Pitaveskii theory suitable for the study of Bose-Einstein condensation in a {\em rotating} dilute Bose gas. The theory is used to model the dynamical and equilibrium properties of a rapidly rotating Bose gas…

Quantum Physics · Physics 2008-09-13 A. S. Bradley , C. W. Gardiner , M. J. Davis

In the present work, we explore the existence, stability and dynamics of single and multiple vortex ring states that can arise in Bose-Einstein condensates. Earlier works have illustrated the bifurcation of such states, in the vicinity of…

Pattern Formation and Solitons · Physics 2017-05-03 Wenlong Wang , R. N. Bisset , C. Ticknor , R. Carretero-Gonzalez , D. J. Frantzeskakis , L. A. Collins , P. G. Kevrekidis

We theoretically investigate a Bose-Einstein condensate confined by a rotating harmonic trap whose rotation axis is not aligned with any of its principal axes. The principal axes of the Thomas-Fermi density profiles of the resulting…

Quantum Gases · Physics 2020-07-01 Srivatsa B. Prasad , Brendan C. Mulkerin , Andrew M. Martin

We study numerically the vortex-lattice formation in a rapidly rotating uniform quasi-two-dimensional Bose-Einstein condensate (BEC) in a box trap. We consider two types of boxes: square and circle. In a square-shaped 2D box trap, when the…

Quantum Gases · Physics 2019-08-20 S. K. Adhikari

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 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 perform accurate investigation of stability of localized vortices in an effectively two-dimensional ("pancake-shaped") trapped BEC with negative scattering length. The analysis combines computation of the stability eigenvalues and direct…

Other Condensed Matter · Physics 2009-11-11 Dumitru Mihalache , Dumitru Mazilu , Boris A. Malomed , Falk Lederer

We investigate the structure of trapped Bose-Einstein condensates (BECs) with long-range anisotropic dipolar interactions. We find that a small perturbation in the trapping potential can lead to dramatic changes in the condensate's density…

Other Condensed Matter · Physics 2010-02-08 Ryan M. Wilson , Shai Ronen , Han Pu , John L. Bohn

We study the formation of vortices in a Bose-Einstein condensate (BEC) that has been prepared by allowing isolated and independent condensed fragments to merge together. We focus on the experimental setup of Scherer {\it et al.} [Phys. Rev.…

Other Condensed Matter · Physics 2010-12-10 R. Carretero-Gonzalez , B. P. Anderson , P. G. Kevrekidis , D. J. Frantzeskakis , C. N. Weiler

We investigate the nonequilibrium dynamics of a two-dimensional rotating Bose gas confined in a symmetric anharmonic trap, employing the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study states ranging from…

In order to study the rotating strongly coupled Bose-Einstein condensations(BEC), a holographic model defined in an AdS black hole that duals to a coupled two-component condensations in global $U(1)$ symmetry broken phase with…

Quantum Gases · Physics 2020-08-26 Wei-Can Yang , Chuan-Yin Xia , Muneto Nitta , Hua-Bi Zeng

We study the normal modes of a two-dimensional rotating Bose-Einstein condensate confined in a quadratic plus quartic trap. Hydrodynamic theory and sum rules are used to derive analytical predictions for the collective frequencies in the…

Statistical Mechanics · Physics 2009-11-10 M. Cozzini , A. L. Fetter , B. Jackson , S. Stringari

In two spatial dimensions, vortex-vortex interactions approximately vary with the logarithm of the inter-vortex distance, making it possible to describe an ensemble of vortices as a Coulomb gas. We introduce a duality between vortices in a…

Quantum Gases · Physics 2025-02-28 Seong-Ho Shinn , Adolfo del Campo

We consider the relative dynamics -- the dynamics modulo rotational symmetry in this particular context -- of $N$ vortices in confined Bose--Einstein Condensates (BEC) using a finite-dimensional vortex approximation to the two-dimensional…

Mathematical Physics · Physics 2024-09-13 Tomoki Ohsawa

We study numerically the vortex dynamics and vortex-lattice formation in a rotating density-dependent Bose-Einstein condensate (BEC), characterized by the presence of nonlinear rotation. By varying the strength of nonlinear rotation in…

Quantum Gases · Physics 2023-05-03 Ishfaq Ahmad Bhat , Thudiyangal Mithun , Bishwajyoti Dey

We study stationary clusters of vortices and antivortices in dilute pancake-shaped Bose-Einstein condensates confined in nonrotating harmonic traps. Previous theoretical results on the stability properties of these topologically nontrivial…

Statistical Mechanics · Physics 2009-11-13 V. Pietila , M. Mottonen , T. Isoshima , J. A. M. Huhtamaki , S. M. M. Virtanen

Vortices in a one-component dilute atomic ultracold Bose-Einstein condensate (BEC) usually arise as a response to externally driven rotation. Apart from a few special situations, these vortices are singly quantized with unit circulation.…

Quantum Gases · Physics 2015-06-24 Alexander L. Fetter

The expansion of Bose-Einstein condensates (BECs) is numerically studied. Usually, the aspect ratio of a condensate is inverted due to the anisotropy of the uncertainty principle. In turbulent BECs, however, the aspect ratio remains…

Quantum Gases · Physics 2015-06-18 Ryo Tsuchitani , Makoto Tsubota

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the…

Analysis of PDEs · Mathematics 2008-12-01 Amandine Aftalion , Xavier Blanc , Nicolas Lerner