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We derive the frequency of precession and conditions for stability for a quantized vortex in a single-component and a two-component Bose-Einstein condensate. The frequency of precession is proportional to the gradient of the free energy…

Soft Condensed Matter · Physics 2009-10-31 S. A. McGee , M. J. Holland

We study continuous interaction of a trapped two-component Bose-Einstein condensate with light fields in a $\Lambda$-type configuration. Using light beams with orbital angular momentum, we theoretically show how to create a stable, pinned…

Quantum Gases · Physics 2025-09-15 Y. Braver , D. Burba , S. S. Nair , G. Žlabys , E. Anisimovas , Th. Busch , G. Juzeliūnas

We examine the phase diagram of a Bose-Einstein condensate of atoms, interacting with an attractive pseudopotential, in a quadratic-plus-quartic potential trap rotating at a given rate. Investigating the behavior of the gas as a function of…

Statistical Mechanics · Physics 2009-11-10 G. M. Kavoulakis , A. D. Jackson , Gordon Baym

The nucleation of vortices and the resulting structures of vortex arrays in dilute, trapped, zero-temperature Bose-Einstein condensates are investigated numerically. Vortices are generated by rotating a three-dimensional, anisotropic…

Statistical Mechanics · Physics 2009-10-31 David L. Feder , Charles W. Clark , Barry I. Schneider

We investigate the appearance of vortices and vortex lattices in two-dimensional, anisotropic and rotating Bose-Einstein condensates. Once the anisotropy reaches a critical value, the positions of the vortex cores in the ground state are no…

Other Condensed Matter · Physics 2010-07-23 S. McEndoo , Th. Busch

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

We investigate the vortex-lattice structure for single- and two-component Bose-Einstein condensates in the presence of an optical lattice, which acts as a pinning potential for the vortices. The problem is considered in the mean-field…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. P. Mink , C. Morais Smith , R. A. Duine

We analyze the vortex dynamics and vortex-vortex interactions in Bose-Einstein condensates confined in toroidal traps. We show that this particular geometry strongly distorts the vortex dynamics. The numerically calculated vortex…

Condensed Matter · Physics 2009-11-07 T. Schulte , L. Santos , A. Sanpera , M. Lewenstein

Vortices in a Bose-Einstein condensate are modelled as spontaneously symmetry breaking minimum energy solutions of the time dependent Gross-Pitaevskii equation, using the method of constrained optimization. In a non-rotating axially…

Quantum Gases · Physics 2021-08-09 Julien Garaud , Jin Dai , Antti J. Niemi

We consider a large condensate in a rotating anisotropic harmonic trap. Using the method of matched asymptotic expansions, we derive the velocity of an element of vortex line as a function of the local gradient of the trap potential, the…

Statistical Mechanics · Physics 2009-10-31 Anatoly Svidzinsky , Alexander Fetter

We investigate the vortex patterns appearing in a two-dimensional annular Bose-Einstein condensate rotating in a quadratic plus quartic confining potential. We show that in the limit of small anharmonicity the Gross-Pitaevskii energy can be…

Statistical Mechanics · Physics 2009-11-13 X. Blanc , N. Rougerie

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

Equilibrium vortex formation in rotating binary Bose gases with a rotating frequency higher than the harmonic trapping frequency is investigated theoretically. We consider the system being evaporatively cooled to form condensates and a…

Quantum Gases · Physics 2015-05-30 C. -H. Hsueh , T. -L. Horng , S. -C. Gou , W. C. Wu

We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. We find that proximity to the Mott insulating state dramatically effects the vortex structures. To illustrate…

Other Condensed Matter · Physics 2009-11-13 Daniel S. Goldbaum , Erich J. Mueller

In this letter, atom optic techniques are proposed to control the excitation of a Bose-Einstein condensate in an atomic trap. We show that by employing the dipole potential induced by four highly detuned travelling-wave laser beams with…

Statistical Mechanics · Physics 2009-10-30 Karl-Peter Marzlin , Weiping Zhang

The theory of Bose-Einstein condensation in a two-dimensional(2D) harmonic trap is developed from 2D Gross-Pitaevskii equation. The 2D interaction strength is obtained from a 2D collision theory. We show the realization of 2D condensation…

Statistical Mechanics · Physics 2016-08-31 Sang-Hoon Kim , Changyeon Won , Sung Dahm Oh , Wonho Jhe

We investigate the dynamics of vortices in repulsive Bose-Einstein condensates in the presence of an optical lattice (OL) and a parabolic magnetic trap. The dynamics is sensitive to the phase of the OL potential relative to the magnetic…

Other Condensed Matter · Physics 2016-08-16 P. G. Kevrekidis , R. Carretero-González , G. Theocharis , D. J. Frantzeskakis , B. A. Malomed

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

Single particle states in the atomic trap employing the rotating magnetic field are found using the full time-dependent instantaneous trapping potential. These states are compared with those of the effective time-averaged potential. We show…

A relaxation method is employed to study a rotating dense Bose-Einstein condensate beyond Thomas-Fermi approximation. We use a slave-boson model to describe the strongly interacting condensate and derive a generalized non-linear…

Other Condensed Matter · Physics 2008-08-07 V. P. Barros , Ch. Moseley , A. Gammal , K. Ziegler