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Related papers: Structure of vortices in rotating Bose-Einstein co…

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Three-dimensional solitary and vortex structures in Bose-Einstein condensates are studied in the framework of Gross-Pitaevskii model including the simultaneous action of local cubic-quintic nonlinearity and nonlocal dipole-dipole…

Pattern Formation and Solitons · Physics 2009-11-13 Yu. A. Zaliznyak , A. I. Yakimenko

We examine a rapidly rotating Bose-Einstein condensate in an anharmonic confinement and find that many properties such as the critical rotating frequency and phase diagram are quite different from those in a harmonic trap. We investigate…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Li-Hua Lu , You-Quan Li

We show that three-dimensional spherical-shell condensates respond to rotation by forming two aligned triangular Abrikosov-like vortex lattices on each hemispherical surface. The centrifugal force due to rotation causes an elliptical…

Quantum Gases · Physics 2024-01-05 Angela C White

We study rotational motion of an interacting atomic Bose-Einstein condensate confined in a quadratic-plus-quartic potential. We calculate the lowest energy surface mode frequency and show that a symmetric trapped (harmonic and quartic)…

Soft Condensed Matter · Physics 2007-05-23 Tarun Kanti Ghosh

We study the dynamics of vortices in ideal and weakly interacting Bose-Einstein condensates using a Ritz minimization method to solve the two-dimensional Gross-Pitaevskii equation. For different initial vortex configurations we calculate…

Quantum Physics · Physics 2007-10-03 Alexander Klein , Dieter Jaksch , Yanzhi Zhang , Weizhu Bao

We have measured the velocity field of a vortex lattice within a sodium Bose-Einstein condensate using Bragg scattering. The phase gradient of the macroscopic wavefunction was mapped into the spatial structure of the diffracted atom cloud,…

Other Condensed Matter · Physics 2013-06-10 S. R. Muniz , D. S. Naik , C. Raman

We present a simple mechanism to produce vortices at any desired spatial locations in harmonically trapped Bose-Einstein condensates (BEC) with multicomponent spin states coupled to external transverse and axial magnetic fields. The…

It is shown that diffraction of Bose-Einstein condensates on a helical light grating results in vortices in the condensate. Helical light gratings can be produced by light interference of a Gaussian laser beam with a helical one.…

Soft Condensed Matter · Physics 2007-05-23 Kestutis Staliunas

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 study the vortex nucleation in a finite Bose-Einstein condensate. Using a set of non-local and chiral boundary conditions to solve the Schr$\ddot{o}$dinger equation of non-interacting bosons in a rotating trap, we obtain a quantitative…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Eric Akkermans , Sankalpa Ghosh

We consider a finite-temperature Bose-Einstein condensate in a quasi-two-dimensional trap containing a single precessing vortex. We find that such a configuration arises naturally as an ergodic equilibrium of the projected Gross-Pitaevskii…

Quantum Gases · Physics 2009-11-29 T. M. Wright , A. S. Bradley , R. J. Ballagh

We derive a general and exact equation of motion for a quantised vortex in an inhomogeneous two-dimensional Bose-Einstein condensate. This equation expresses the velocity of a vortex as a sum of local ambient density and phase gradients in…

Quantum Gases · Physics 2018-03-06 Andrew J. Groszek , David M. Paganin , Kristian Helmerson , Tapio P. Simula

Realistic methods to create vortices in spin-orbit-coupled Bose-Einstein condensates are discussed. It is shown that, contrary to common intuition, rotation of the trap containing a spin-orbit condensate does not lead to an equilibrium…

Quantum Gases · Physics 2013-05-29 Juraj Radic , Tigran Sedrakyan , Ian Spielman , Victor Galitski

A dilute gas of Bose-Einstein condensed atoms in a non-rotated and axially symmetric harmonic trap is modelled by the time dependent Gross-Pitaevskii equation. When the angular momentum carried by the condensate does not vanish, the minimum…

Quantum Gases · Physics 2022-09-23 Julien Garaud , Antti J. Niemi

We perform a detailed numerical study of the equilibrium ground-state structures of a binary rotating Bose-Einstein condensate with unequal atomic masses. Our results show that the ground-state distribution and its related vortex…

Quantum Gases · Physics 2016-10-12 Biao Dong , Lin-Xue Wang , Guang-Ping Chen , Wei Han , Shou-Gang Zhang , Xiao-Fei Zhang

Gross-Pitaevskii equation for Bose-Einstein condensate confined in elongated cigar-shaped trap is reduced to an effective system of nonlinear equations depending on only one space coordinate along the trap axis. The radial distribution of…

Soft Condensed Matter · Physics 2007-05-23 A. M. Kamchatnov , V. S. Shchesnovich

We study the vortex pinning effect on the vortex lattice structure of the rotating two-component Bose-Einstein condensates (BECs) in the presence of impurities or disorder by numerically solving the time-dependent coupled Gross-Pitaevskii…

Quantum Gases · Physics 2024-07-02 Dibyendu Kuiri , Mithun Thudiyangal , Bishwajyoti Dey

We study minimizers of a Gross--Pitaevskii energy describing a two-component Bose-Einstein condensate confined in a radially symmetric harmonic trap and set into rotation. We consider the case of coexistence of the components in the…

Analysis of PDEs · Mathematics 2015-06-19 Amandine Aftalion , Benedetta Noris , Christos Sourdis

We study the influence of dipole-dipole interaction on the formation of vortices in a rotating dipolar Bose-Einstein condensate (BEC) of $^{52}$Cr and $^{164}$Dy atoms in quasi two-dimensional geometry. By numerically solving the…

Quantum Gases · Physics 2012-10-02 R. Kishor Kumar , P. Muruganandam

Using a focused laser beam we stir a Bose-Einstein condensate confined in a magnetic trap. When the stirring frequency lies near the transverse quadrupolar mode resonance we observe the nucleation of vortices. When several vortices are…

Statistical Mechanics · Physics 2007-05-23 F. Chevy , K. Madison , V. Bretin , J. Dalibard