Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Progress in nonlinear differential equations and their applications

Vortices in Bose—Einstein Condensates

Amandine Aftalion

Published Jan 1, 2006• 160 citations
Publisher

Abstract

One of the key issues related to superfluidity is the existence of vortices. In very recent experiments on Bose–Einstein condensates, vortices have been observed by rotating the trap holding the atoms
DOI
10.1007/0-8176-4492-x

Related papers

Vortices in Atomic Bose-Einstein Condensates: an Introduction

Sankalpa Ghosh

The occurrence of vortices in atomic Bose-Einstein condensates (BEC) enables a description of their superfluid behaviour. In this article we present a pedagogical introduction to the vortex physics in trapped atomic BECs. The mechanism of the vortex nucleation in an atomic BEC is discussed in detail. We also discuss a recently proposed approach which treats the problem of vortex nucleation using a one-particle Schr$\ddot{o}$dinger equation with non-local and chiral boundary conditions.

arXiv:cond-mat/0405589•May 25, 2004•0 citations

Vortices in atomic Bose–Einstein condensates: an introduction

Sankalpa Ghosh

The occurrence of vortices in atomic Bose–Einstein condensates (BECs) enables a description of their superfluid behavior. In this article, we present a pedagogical introduction the vortex physics in trapped atomic BECs. The mechanism of vortex nucleation in an atomic BEC is discussed in detail. We also discuss a recently proposed approach to the problem of vortex nucleation which uses a one-particle Schrödinger equation with nonlocal and chiral boundary conditions.

Phase Transitions•May 1, 2004•12 citations

Quantized vortices in superfluid helium and Bose-Einstein condensates

Makoto Tsubota

In this article, we review the research on the dynamics of quantized vortices in superfluid helium and rotating Bose-Einstein condensates with emphasis on the recent research done by our group.

Journal of Physics Conference Series•Mar 21, 2006•10 citations

Light-induced vortices in atomic Bose-Einstein condensates

Karl-Peter Marzlin, Wieiping Zhang

Summary form only given.The experimental realizations of Bose-Einstein condensation in an atomic trap stimulated a broad interest in the properties of coherent quantum gases. The comparison of trapped condensates to superfluid Helium suggests the possibility of studying and analyzing the rotational properties of condensates. To observe the superfluidlike relation of an atomic condensate, the creation of vortex states is desirable. In this paper, we propose to employ atom optic techniques to achieve this goal.

Conference on Lasers and Electro-Optics•Nov 27, 2002•0 citations

Free Falling Vortices

When a vessel containing a superfluid is set in rotational motion, the superfluid does not rotate uniformly with it; instead, quantized vortices develop. Vortices have been observed in a range of superfluids, including helium, atomic Bose-Einstein condensates, and type II superconductors in a magnetic field. Freilich et al. (p. [1182][1]) visualized real-time vortex dynamics in the most tunable of superfluid systems, an atomic Bose-Einstein condensate. A small section of condensate was displaced from the trap and imaged as it fell in the gravitational field. The technique is applicable to exploring other complex dynamic systems, such as vortex reconnections and the role of vortices in quantum turbulence. [1]: /lookup/doi/10.1126/science.1191224

Science•Sep 2, 2010•0 citations

Properties of vortices in Bose–Einstein condensates

Amandine Aftalion

One of the key issues related to superfluidity is the existence of quantized vortices. Following recent experiments on Bose–Einstein condensates exhibiting vortices, we investigate the behavior of the wave function which solves the Gross–Pitaevskii equation. For a rotating Bose–Einstein condensate in a harmonic trap, we give a simplified expression of the Gross–Pitaevskii energy in the Thomas–Fermi regime, which only depends on the number and shape of the vortex lines. This allows us to study in detail the structure of the line of a single quantized vortex, which has a U or S shape. S type vortices exist for all values of the angular velocity Ω but are not minimizers of the energy while U vortices are minimizers and exist only for Ω sufficiently large. Finally, we study the drag created by the movement of a detuned laser beam in a condensate and the nucleation of vortices in the low density region close to the boundary layer of the cloud.

Comptes Rendus Physique•Jan 1, 2004•4 citations
The occurrence of vortices in atomic Bose-Einstein condensates (BEC) enables a description of their superfluid behaviour. In this article we present a pedagogical introduction to the vortex physics in trapped atomic BECs. The mechanism of the vortex nucleation in an atomic BEC is discussed in detail. We also discuss a recently proposed approach which treats the problem of vortex nucleation using a one-particle Schro¨\ddot{o}o¨dinger equation with non-local and chiral boundary conditions.
Summary form only given.The experimental realizations of Bose-Einstein condensation in an atomic trap stimulated a broad interest in the properties of coherent quantum gases. The comparison of trapped condensates to superfluid Helium suggests the possibility of studying and analyzing the rotational properties of condensates. To observe the superfluidlike relation of an atomic condensate, the creation of vortex states is desirable. In this paper, we propose to employ atom optic techniques to achieve this goal.
When a vessel containing a superfluid is set in rotational motion, the superfluid does not rotate uniformly with it; instead, quantized vortices develop. Vortices have been observed in a range of superfluids, including helium, atomic Bose-Einstein condensates, and type II superconductors in a magnetic field. Freilich et al. (p. [1182][1]) visualized real-time vortex dynamics in the most tunable of superfluid systems, an atomic Bose-Einstein condensate. A small section of condensate was displaced from the trap and imaged as it fell in the gravitational field. The technique is applicable to exploring other complex dynamic systems, such as vortex reconnections and the role of vortices in quantum turbulence. [1]: /lookup/doi/10.1126/science.1191224
One of the key issues related to superfluidity is the existence of quantized vortices. Following recent experiments on Bose–Einstein condensates exhibiting vortices, we investigate the behavior of the wave function which solves the Gross–Pitaevskii equation. For a rotating Bose–Einstein condensate in a harmonic trap, we give a simplified expression of the Gross–Pitaevskii energy in the Thomas–Fermi regime, which only depends on the number and shape of the vortex lines. This allows us to study in detail the structure of the line of a single quantized vortex, which has a U or S shape. S type vortices exist for all values of the angular velocity Ω but are not minimizers of the energy while U vortices are minimizers and exist only for Ω sufficiently large. Finally, we study the drag created by the movement of a detuned laser beam in a condensate and the nucleation of vortices in the low density region close to the boundary layer of the cloud.