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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)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

Nucleation of vortices in rotating superfluid by spin-up and rapid thermal quench is discussed in the framework of the time-dependent Ginzburg--Landau equation (TDGLE). An analysis of the instability in inhomogeneous rotationally-invariant…

Soft Condensed Matter · Physics 2007-05-23 Igor Aranson , Victor Steinberg

The structure and energetics of superflow around quantized vortices, and the motion inherited by these vortices from this superflow, are explored in the general setting of the superfluidity of helium-four in arbitrary dimensions. The…

Statistical Mechanics · Physics 2009-11-13 Paul M. Goldbart , Florin Bora

Solid He-4 is viewed as a nearly perfect Debye solid. Yet, recent calorimetry measurements by the PSU group (J. Low Temp. Phys. 138, 853 (2005) and Nature 449, 1025 (2007)) indicate that at low temperatures the specific heat has both cubic…

Materials Science · Physics 2011-04-08 M. J. Graf , A. V. Balatsky , Z. Nussinov , I. Grigorenko , S. A. Trugman

The temperature dependence of the site-dependent nuclear spin relaxation time T_1 around vortices is studied in s-wave and d-wave superconductors.Reflecting low energy electronic excitations associated with the vortex core, temperature…

Superconductivity · Physics 2009-10-31 Mitsuaki Takigawa , Masanori Ichioka , Kazushige Machida

Trapped surface waves have been observed in a swimming pool trapped by, and rotating around, the cores of vortices. To investigate this effect, we have numerically studied the free-surface response of a Lamb--Oseen vortex to small…

Fluid Dynamics · Physics 2024-10-18 Emanuele Zuccoli , Edward James Brambley , Dwight Barkley

One of the most sought-after objects in topological quantum matter systems is a vortex carrying half a quantum of circulation. They were originally predicted to exist in superfluid 3He-A, but have never been resolved there. Here we report…

Other Condensed Matter · Physics 2016-12-21 S. Autti , V. V. Dmitriev , J. T. Mäkinen , A. A. Soldatov , G. E. Volovik , A. N. Yudin , V. V. Zavjalov , V. B. Eltsov

Spinorial or multi-component Bose-Einstein condensates may sustain fractional quanta of circulation, vorticant topological excitations with half integer windings of phase and polarization. Matter-light quantum fluids, such as microcavity…

This paper is devoted to the stability analysis of the Lamb-Oseen vortex in the regime of high circulation Reynolds numbers. When strongly localized perturbations are applied, it is shown that the vortex relaxes to axisymmetry in a time…

Analysis of PDEs · Mathematics 2018-07-04 Thierry Gallay

An equation previously proposed to describe the evolution of vortex line density in rotating counterflow turbulent tangles in superfluid helium is generalized to incorporate nonvanishing barycentric velocity and velocity gradients. Our…

Other Condensed Matter · Physics 2009-11-13 David Jou , Michele Sciacca , Maria Stella Mongiovi'

We study a superfluid in a planar annulus hosting vortices with massive cores. An analytical point-vortex model shows that the massive vortices may perform radial oscillations on top of the usual uniform precession of their massless…

Quantum Gases · Physics 2023-09-14 Matteo Caldara , Andrea Richaud , Massimo Capone , Pietro Massignan

The lattice dynamics of solid 4He has been explored using pulsed NMR methods to study the motion of 3He impurities in the temperature range where experiments have revealed anomalies attributed to superflow or unexpected viscoelastic…

Materials Science · Physics 2015-06-12 S. S. Kim , C. Huan , L. Yin , J. S. Xia , D. Candela , N. S. Sullivan

The appearance of quantised vortices in the classical ``rotating bucket'' experiments of liquid helium and ultracold dilute gases provides the means for fundamental and comparative studies of different superfluids. Here, we realize the…

We investigate the collective dynamics of multivortex assemblies in a two dimensional (2D) toroidal fluid film of distinct curvature and topology. The incompressible and inviscid nature of the fluid allows a Hamiltonian description of the…

Fluid Dynamics · Physics 2025-09-15 Aswathy K R , Udaya Maurya , Surya Teja Gavva , Rickmoy Samanta

Horizontally ($\mathbf{\Omega} \perp \mathbf{v}_{\rm{ns}}$) and axially ($\mathbf{\Omega} \parallel \mathbf{v}_{\rm{ns}}$) rotating counterflow of superfluid $^4$He (He~II) generated thermally in a square channel is studied using the second…

Fluid Dynamics · Physics 2025-12-16 Filip Novotný , Marek Talíř , Emil Varga , Ladislav Skrbek

It is well known that a superfluid rotates by forming an array of quantized vortices. A relativistic formulation for superfluid vortex dynamics is required for a range of problems in astrophysics and cosmology, from neutron star interiors…

General Relativity and Quantum Cosmology · Physics 2020-06-17 N. Andersson , S. Wells , G. L. Comer

The scattering of atoms and rotons at the free surface of superfluid 4He is studied in the framework of linearised time dependent mean field theory. The phenomenological Orsay-Trento density functional is used to solve numerically the…

Condensed Matter · Physics 2009-10-28 F. Dalfovo , A. Fracchetti , A. Lastri , L. Pitaevskii , S. Stringari

Recent experiments on superfluid $^3$He in globally anisotropic aerogels have shown realization of the polar superfluid phase and of the half-quantum vortices (HQVs) in this phase upon rotation. To clarify why the HQVs, which had not been…

Superconductivity · Physics 2018-10-03 Natsuo Nagamura , Ryusuke Ikeda

Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence. The fluid rotation associated with a vortex can be parameterized by the circulation $\Gamma=\oint {\rm d}{\bf…

Other Condensed Matter · Physics 2015-05-13 N. G. Parker , B. Jackson , A. M. Martin , C. S. Adams

The response of superfluids to the external rotation, evidenced by emergence of quantised vortices, distinguishes them from conventional fluids. In this work, we demonstrate that the number of vortices in a stirred polariton condensate…

Mesoscale and Nanoscale Physics · Physics 2024-04-12 Ivan Gnusov , Stella Harrison , Sergey Alyatkin , Kirill Sitnik , Helgi Sigurdsson , Pavlos G. Lagoudakis