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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…

The temperature dependence of an isolated quantum vortex, embedded in an otherwise homogeneous fermionic superfluid of infinite extent, is determined via the Bogoliubov-de Gennes (BdG) equations across the BCS-BEC crossover. Emphasis is…

Superconductivity · Physics 2015-06-15 S. Simonucci , P. Pieri , G. C. Strinati

We analyze the motion of quantum vortices in a two-dimensional spinless superfluid within Popov's hydrodynamic description. In the long healing length limit (where a large number of particles are inside the vortex core) the superfluid…

Quantum Gases · Physics 2015-06-19 A. Klein , O. Agam , I. Aleiner

The behavior of a dilute two-component superfluid Fermi gas subjected to rotation is investigated within the context of a weak-coupling BCS theory. The microscopic properties at finite temperature are obtained by iterating the Bogoliubov-de…

Superconductivity · Physics 2009-11-10 David L. Feder

We consider the Microcanonical Variational Principle for the vortex system in a bounded domain. In particular we are interested in the thermodynamic properties of the system in domains of second kind, i.e. for which the equivalence of…

Mathematical Physics · Physics 2023-12-27 Dario Benedetto , Emanuele Caglioti , Margherita Nolasco

We consider the transverse force on a moving vortex with the acoustic metric using the $\phi $-mapping topological current theory. In the frame of effective spacetime geometry the vortex appear naturally by virtue of the vortex tensor in…

High Energy Physics - Theory · Physics 2009-11-11 Peng-ming Zhang , Li-ming Cao , Yi-shi Duan , Cheng-kui Zhong

Motion of vortices in two-dimensional superfluids in the classical limit is studied by solving the Gross-Pitaevskii equation numerically on a uniform lattice. We find that, in the presence of a superflow directed along one of the main…

Superconductivity · Physics 2007-05-23 Z. Gecse , S. Khlebnikov

The motion of a vortex-(anti)vortex pair is studied numerically in the framework of a dynamical Ginzburg-Landau model, relevant to the description of a superconductor or of an idealized bosonic plasma. It is shown that up to a fine…

High Energy Physics - Theory · Physics 2009-10-30 G. N. Stratopoulos , T. N. Tomaras

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

Vortex mass is a key concept in the study of superfluid dynamics, referring to the inertia of vortices in a superfluid, which affects their motion and behavior. Despite being an important quantity, the vortex mass has never been observed…

Quantum Gases · Physics 2025-12-08 Lucas Levrouw , Hiromitsu Takeuchi , Jacques Tempere

We study vortex-vortex and vortex-wave collisions in two-dimensional weakly interacting Bose-Einstein condensates, processes that play a central role in decaying quantum turbulence. Using numerical simulations of the Gross-Pitaevskii…

Quantum Gases · Physics 2025-10-03 Vebjørn Øvereng , Andrew Baggaley , Luiza Angheluta

We study the motion of a superfluid vortex in condensates having different background density profiles, ranging from parabolic to uniform. The resulting effective point-vortex model for a generic power-law potential $\propto r^k$ can be…

Quantum Gases · Physics 2022-12-14 Andrea Richaud , Pietro Massignan , Vittorio Penna , Alexander L. Fetter

For problems with multiple bodies, the current integral approach needs the use of auxiliary potential functions in order to have an individual force formula for each body. While the singularity approach, based on an extension of the…

Fluid Dynamics · Physics 2013-04-22 Chen-Yuan Bai , Juan Li , Zi-Niu Wu

Vortex dynamics in fermionic superfluids is carefully considered from the microscopic point of view. Finite temperatures, as well as impurities, are explicitly incorporated. To enable readers understand the physical implications,…

Condensed Matter · Physics 2009-10-31 P. Ao , X. -M. Zhu

Using group theory arguments and numerical simulations, we demonstrate the possibility of changing the vorticity or topological charge of an individual vortex by means of the action of a system possessing a discrete rotational symmetry of…

Pattern Formation and Solitons · Physics 2009-11-11 Albert Ferrando , Mario Zacares , Miguel-Angel Garcia-March , Juan A. Monsoriu

In a recent article, Kwon et al. [Nature (London) {\bf 600}, 64 (2021)] revealed nonuniversal dissipative dynamics of quantum vortices in a fermionic superfluid. The enhancement of the dissipative process is pronounced for the…

Quantum Gases · Physics 2023-01-30 Andrea Barresi , Antoine Boulet , Piotr Magierski , Gabriel Wlazłowski

We report $T=0$ diffusion Monte Carlo results for the ground-state and vortex excitation of unpolarized spin-1/2 fermions in a two-dimensional disk. We investigate how vortex core structure properties behave over the BEC-BCS crossover. We…

Quantum Gases · Physics 2017-05-08 Lucas Madeira , Stefano Gandolfi , Kevin E. Schmidt

Core structures of a single vortex in A-like and B-like phases of superfluid 3He in uniaxially compressed and stretched aerogels are studied by numerically solving Ginzburg-Landau equations derived microscopically. It is found that,…

Superconductivity · Physics 2015-05-19 Kazushi Aoyama , Ryusuke Ikeda

We study the phase distribution around a vortex in uniform motion. We consider both the cases of neutral and charged superfluids. The motion of the vortex causes the density of the system to fluctuate. This in turn produces a compensating…

Superconductivity · Physics 2009-10-31 D. M. Gaitonde

Quasiparticle states around a single vortex in a $p_x\pm i p_y$-wave superconductor are studied on the basis of the Bogoliubov-de Gennes (BdG) theory, where both charge and current screenings are taken into account. Due to the violation of…

Superconductivity · Physics 2009-11-07 Masashige Matsumoto , Rolf Heeb