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We perform numerical simulations of vortex motion in a trapped Bose-Einstein condensate by solving the two-dimensional Gross-Pitaevskii Equation in the presence of a simple phenomenological model of interaction between the condensate and…

统计力学 · 物理学 2009-11-13 E. J. M. Madarassy , C. F. Barenghi

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

量子气体 · 物理学 2015-05-19 Alexander L. Fetter

Within a variational approach to solve the Gross-Pitaevskii equation we investigate dynamical properties of a rotating Bose-Einstein condensate which is confined in an anharmonic trap. In particular, we calculate the eigenfrequencies of…

统计力学 · 物理学 2015-05-13 Sebastian Kling , Axel Pelster

We studied a rotating Bose-Einstein condensate confined in ring trap configurations that can be produced starting with a bubble trap confinement, approximated by a Mexican hat and shifted harmonic oscillator potentials. Using a variational…

量子气体 · 物理学 2024-06-18 Guilherme Tomishiyo , Lucas Madeira , Mônica A. Caracanhas

We consider a Bose-Einstein condensate confined in a ``Mexican hat'' potential, with a quartic minus quadratic radial dependence. We find conditions under which the ground state is annular in shape, with a hole in the center of the…

其他凝聚态物理 · 物理学 2009-11-11 M. Cozzini , B. Jackson , S. Stringari

With use of the nonlinear Schr{\"o}dinger (or Gross-Pitaevskii) equation with strong repulsive cubic nonlinearity, dynamics of multi-component Bose-Einstein condensates (BECs) with a harmonic trap in 2 dimensions is investigated beyond the…

量子气体 · 物理学 2015-06-12 Katsuhiro Nakamura , Doniyor Babajanov , Davron Matrasulov , Michikazu Kobayashi

We review the topic of quantized vortices in multicomponent Bose-Einstein condensates of dilute atomic gases, with an emphasis on that in two-component condensates. First, we review the fundamental structure, stability and dynamics of a…

其他凝聚态物理 · 物理学 2009-11-11 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

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…

其他凝聚态物理 · 物理学 2012-06-13 C. C. Huang , C. H. Liu , W. C. Wu

Boundaries strongly affect the behavior of quantized vortices in Bose-Einstein condensates, a phenomenon particularly evident in elongated cigar-shaped traps where vortices tend to orient along a short direction to minimize energy.…

量子气体 · 物理学 2017-11-03 R. N. Bisset , S. Serafini , E. Iseni , M. Barbiero , T. Bienaimé , G. Lamporesi , G. Ferrari , F. Dalfovo

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…

软凝聚态物质 · 物理学 2009-10-31 Tomoya Isoshima , Kazushige Machida

The quantized vortex state is investigated in a Bose-Einstein condensate, confined in a multiply connected geometry formed by a Laguerre-Gaussian optical trap. Solving the Gross-Pitaevskii equation variationally, we show that the criterium…

凝聚态物理 · 物理学 2009-11-07 J. Tempere , J. T. Devreese , E. R. I. Abraham

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…

统计力学 · 物理学 2009-11-10 G. M. Kavoulakis , A. D. Jackson , Gordon Baym

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…

统计力学 · 物理学 2009-10-31 Anatoly Svidzinsky , Alexander Fetter

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…

量子气体 · 物理学 2015-05-19 Kazuya Fujimoto , Makoto Tsubota

After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, I discuss the effect of interactions on the formation of a Bose-Einstein condensate (BEC), along with the dynamics of small-amplitude perturbations (the Bogoliubov…

统计力学 · 物理学 2015-05-13 Alexander L. Fetter

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

量子气体 · 物理学 2020-06-30 Luca Giacomelli , Iacopo Carusotto

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

量子气体 · 物理学 2020-07-29 Luca Giacomelli , Iacopo Carusotto

The generation of isotropic vortex configurations in trapped atomic Bose-Einstein condensates offers a platform to elucidate quantum turbulence on mesoscopic scales. We demonstrate that a laser-induced obstacle moving in a figure-eight path…

量子气体 · 物理学 2015-06-18 A. J. Allen , N. G. Parker , N. P. Proukakis , C. F. Barenghi

We numerically study the vortex-vortex interaction in multi-component homogeneous Bose-Einstein condensates within the realm of the Gross-Pitaevskii theory. We provide strong evidences that pairwise vortex interaction captures the…

Quasi-one-dimensional solitons that may occur in an elongated Bose-Einstein condensate become unstable at high particle density. We study two basic modes of instability and the corresponding bifurcations to genuinely three-dimensional…

凝聚态物理 · 物理学 2007-05-23 S. Komineas , N. Papanicolaou