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A two-dimensional rapidly rotating Bose-Einstein condensate in an anharmonic trap with quadratic and quartic radial confinement is studied analytically with the Thomas-Fermi approximation and numerically with the full time-independent…

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

A two-dimensional rapidly rotating Bose-Einstein condensate in a harmonic plus quartic trap is expected to have unusual vortex states that do not occur in a pure harmonic trap. At a critical rotation speed $\Omega_h$, a central hole appears…

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

We describe the construction and operation of a time-orbiting potential trap (TOP trap) that has different oscillation frequencies along its three principal axes. These axes can be rotated and we have observed Bose-Einstein condensates of…

Statistical Mechanics · Physics 2019-08-17 J. Arlt , O. Marago' , E. Hodby , S. A. Hopkins , G. Hechenblaikner , S. Webster , C. J. Foot

We consider the quasi-2D two-component Bose-Einstein condensates with Rashba spin-orbit (SO) coupling in a rotating trap. An external Zeeman term favoring spin polarization along the radial direction is also considered, which has the same…

Quantum Gases · Physics 2012-04-27 Xiang-Fa Zhou , Jing Zhou , Congjun Wu

We show that topological vortex pumping can be implemented for a dilute Bose-Einstein condensate confined in a magnetic time-averaged orbiting potential trap with axial optical confinement. Contrary to earlier proposals for the vortex pump,…

Quantum Gases · Physics 2013-04-19 Pekko Kuopanportti , Brian P. Anderson , Mikko Möttönen

Three distinct types of behaviour have recently been identified in the two-dimensional trapped bosonic gas, namely; a phase coherent Bose-Einstein condensate (BEC), a Berezinskii-Kosterlitz-Thouless-type (BKT) superfluid and normal gas…

Statistical Mechanics · Physics 2007-05-23 Daniel Schumayer , David A. W. Hutchinson

Using a semi-analytic model based on the Thomas-Fermi approximation, we investigate the relevance of the quadrupole deformation of a trapped Bose-Einstein condensate for the nucleation of quantized vortices. For sufficiently high angular…

Condensed Matter · Physics 2007-05-23 M. Kraemer , L. Pitaevskii , S. Stringari , F. Zambelli

We report observations of the formation and subsequent decay of a vortex lattice in a Bose-Einstein condensate confined in a hybrid optical-magnetic trap. Vortices are induced by rotating the anharmonic magnetic potential that provides…

Atomic Physics · Physics 2016-01-21 A. Rakonjac , A. L. Marchant , T. P. Billam , J. L. Helm , M. M. H. Yu , S. A. Gardiner , S. L. Cornish

Based on the method of matched asymptotic expansion and on a time-dependent variational analysis, we study the dynamics of a vortex in the large-condensate (Thomas-Fermi) limit. Both methods as well as an analytical solution of the…

Statistical Mechanics · Physics 2007-05-23 Anatoly A. Svidzinsky , Alexander L. Fetter

Numerical simulations of vortex motion in a trapped Bose-Einstein condensate were performed by solving the two-dimensional Gross-Pitaevskii equation in the presence of a simple phenomenological model of interaction between the condensate…

Other Condensed Matter · Physics 2008-07-24 Eniko J. M. Madarassy

We study the properties of singly-quantized linear vortices in the supersolid phase of a dipolar Bose-Einstein condensate at zero temperature modeling $^{164}$Dy atoms. The system is extended in the $x-y$ plane and confined by a harmonic…

Quantum Gases · Physics 2021-03-24 Francesco Ancilotto , Manuel Barranco , Marti Pi , Luciano Reatto

We study the stability of vortices in a binary system of Bose-Einstein condensates, with their wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective two-dimensional system, we…

Quantum Gases · Physics 2025-01-13 Ajay Srinivasan , Aaron Wirthwein , Stephan Haas

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…

We perform Monte Carlo studies of vortices in three dimensions in a cylindrical confinement, with uniform and nonuniform density. The former is relevant to rotating 4He, the latter is relevant to a rotating trapped Bose--Einstein…

Statistical Mechanics · Physics 2007-05-23 S. Kragset , E. Babaev , A. Sudbo

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 effects of vortex interaction on the formation of interference patterns in a coherent pair of two-dimensional Bose condensed clouds of ultra-cold atoms traveling in opposite directions subject to a harmonic trapping…

Quantum Gases · Physics 2014-12-15 Tao Yang , Andrew J. Henning , Keith A. Benedict

We develop an approach for calculating stationary states of rotating Bose-Einstein condensates in harmonic traps which is applicable for arbitrary ratios of the rotation frequency to the transverse frequency of the trap $\omega_{\perp}$.…

Soft Condensed Matter · Physics 2009-02-05 Gordon Baym , C. J. Pethick

Numerical simulations of the interference of a three-way segmented nonrotating Bose-Einstein condensate reveal the production of a honeycomb vortex lattice containing significant numbers of vortices and antivortices. If confined within a…

Other Condensed Matter · Physics 2009-11-13 Gary Ruben , David M. Paganin , Michael J. Morgan

Vortex nucleation in a Bose-Einstein condensate subject to a stirring potential is studied numerically using the zero-temperature, two-dimensional Gross-Pitaevskii equation. It is found that this theory is able to describe the creation of…

Condensed Matter · Physics 2009-11-07 Emil Lundh , J. -P. Martikainen , Kalle-Antti Suominen

We report on the creation of three-vortex clusters in a $^{87}Rb$ Bose-Einstein condensate by oscillatory excitation of the condensate. This procedure can create vortices of both circulation, so that we are able to create several types of…