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We have performed numerical simulations of giant vortex structures in rapidly rotating Bose-Einstein condensates within the Gross-Pitaevskii formalism. We reproduce the qualitative features, such as oscillation of the giant vortex core…

Soft Condensed Matter · Physics 2008-07-10 T. P. Simula , A. A. Penckwitt , R. J. Ballagh

The hydrodynamics of quantized vortices and solitons in an atomic Bose-Einstein condensate excited by an oscillating potential are studied by numerically solving the two-dimensional Gross-Pitaevskii equation. The oscillating potential keeps…

Quantum Gases · Physics 2015-05-19 Kazuya Fujimoto , Makoto Tsubota

A trapped Bose--Einstein-condensed mixture of two types of cold atoms with significantly different masses has been simulated numerically within the coupled Gross--Pitaevskii equations. A configuration consisting of a vortex-free core and a…

Quantum Gases · Physics 2022-11-23 Victor P. Ruban

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

Multiply quantised vortices (MQVs) within single component Bose-Einstein condensates are unstable and decay rapidly. We show that MQVs can be stabilised by adding a small number of atoms of a second species to the vortex cores, and that…

Quantum Gases · Physics 2023-04-25 Sam Patrick , Ansh Gupta , Ruth Gregory , Carlo F. Barenghi

We study the dynamics of a straight vortex line in a partially Bose-Einstein condensed atomic gas. Using a variational approach to the stochastic field equation that describes the dynamics of the condensate at nonzero temperature, we derive…

Statistical Mechanics · Physics 2014-10-13 R. A. Duine , B. W. A. Leurs , H. T. C. Stoof

The decay of a vortex from a non-rotating high temperature Bose-Einstein condensate (BEC) is modeled using the stochastic projected Gross-Pitaevskii equation (SPGPE). In order to exploit the tunability of temperature in SPGPE theory while…

Quantum Gases · Physics 2010-03-23 S. J. Rooney , A. S. Bradley , P. B. Blakie

We develop the multiscale technique to describe excitations of a Bose-Einstein condensate (BEC) whose characteristic scales are comparable with the healing length, thus going beyond the conventional hydrodynamical approximation. As an…

Statistical Mechanics · Physics 2016-08-31 Vladimir V. Konotop , Victor M. Perez-Garcia

Motivated by a recent experiment [S. Beattie, S. Moulder, R. J. Fletcher, and Z. Hadzibabic, PRL 110, 025301 (2013)] we study the superflow of atomic spinor Bose-Einstein condensates optically trapped in a ring-shaped geometry. Within a…

Quantum Gases · Physics 2015-06-17 A. I. Yakimenko , K. O. Isaieva , S. I. Vilchinskii , M. Weyrauch

We report a numerical study of turbulence and Bose-Einstein condensation within the two-dimmensional Gross-Pitaevski model with repulsive interaction. In presence of weak forcing localized around some wave number in the Fourier space, we…

Chaotic Dynamics · Physics 2015-06-26 Sergey Nazarenko , Miguel Onorato

We report on some recent results concerning the dynamics of Bose-Einstein condensates, obtained in a series of joint papers with L. Erdos and H.-T. Yau. Starting from many body quantum dynamics, we present a rigorous derivation of a cubic…

Mathematical Physics · Physics 2007-05-23 Benjamin Schlein

We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of 52Cr atoms with dipole-dipole and s-wave contact interactions confined in an axially…

Quantum Gases · Physics 2009-06-24 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

Quantized vortices are the hallmark of superfluidity, and are often sought out as the first observable feature in new superfluid systems. Following the recent experimental observation of vortices in Bose-Einstein condensates comprised of…

Quantum Gases · Physics 2023-09-07 Thomas Bland , Giacomo Lamporesi , Manfred J. Mark , Francesca Ferlaino

There are surface modes on the Bose-Einstein condensed Na atoms so that the number of vortices diverges when the stirring frequency becomes equal to that of the surface waves. We introduce the finite life time of the surface modes so that…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We observe solitonic vortices in an atomic Bose-Einstein condensate after free expansion. Clear signatures of the nature of such defects are the twisted planar density depletion around the vortex line, observed in absorption images, and the…

The study of structures involving vortices in one component and bright solitary waves in another has a time-honored history in two-component atomic Bose-Einstein condensates. In the present work, we revisit this topic extending…

Pattern Formation and Solitons · Physics 2025-03-24 J. D'Ambroise , W. Wang , C. Ticknor , R. Carretero-González , P. G. Kevrekidis

The stability of a quantized vortex state in Bose-Einstein condensation is examined within Bogoliubov theory for alkali atom gases confined in a harmonic potential under forced rotation. By solving the non-linear Bogoliubov equations…

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

We suggest a method to create turbulence in a Bose-Einstein condensate. The method consists in, firstly, creating an ordered vortex array, and, secondly, imprinting a phase difference in different regions of the condensate. By solving…

Disordered Systems and Neural Networks · Physics 2009-11-13 E. J. M. Madarassy , C. F. Barenghi

The dynamical instability of weakly interacting two-component Bose--Einstein condensates with coaxial quantized vortices is analytically investigated in a two-dimensional isotopic harmonic potential. We examine whether complex eigenvalues…

Quantum Gases · Physics 2016-05-04 M. Hoashi , Y. Nakamura , Y. Yamanaka

We consider the intrinsic stability of the vortex states of a pure Bose-Einstein condensate confined in a harmonic potential under the effects of coherent atom-atom interaction. We find that stable vortices can be supported, and that vortex…

Statistical Mechanics · Physics 2012-01-25 H. Pu , C. K. Law , J. H. Eberly , N. P. Bigelow
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