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We carry out extensive direct numerical simulations (DNSs) to investigate the interaction of active particles and fields in the two-dimensional (2D) Gross-Pitaevskii (GP) superfluid, in both simple and turbulent flows. The particles are…

Quantum Gases · Physics 2018-01-31 Vishwanath Shukla , Rahul Pandit , Marc Brachet

The decay of quantum vortex rings in counterflow regimes, visualized in Helium II with the help of solid hydrogen particles trapped to their cores, has been a puzzling issue within the usual description of superfluid vortex dynamics,…

Fluid Dynamics · Physics 2021-05-19 L. Moriconi

Quantum vortices, the quantized version of classical vortices, play a prominent role in superfluid and superconductor phase transitions. However, their exploration at a particle level in open quantum systems has gained considerable…

In superfluid helium, vorticity is quantized and constrained on line-like phase singularities, called quantum or quantized vortices. By visualizing the motion of sub-micron frozen particles in superfluid $^{4}$He, we directly observe for…

A conceptual model for targeted particle delivery is proposed using controlled vortex ring reconnection. Entrained particles can be efficiently transported within the core of the vortex ring which is propelled via self-induction. A pair of…

Fluid Dynamics · Physics 2024-06-19 Joseph Mouallem , Joshua Wawryk , Hamid Daryan , Zhao Pan , Jean-Pierre Hickey

We have used the vortex filament method to numerically investigate the interactions between pairs of quantized vortex rings that are initially traveling in the same direction but with their axes offset by a variable impact parameter. The…

Fluid Dynamics · Physics 2016-08-17 T. Zhu , M. L. Evans , R. A. Brown , P. M. Walmsley , A. I. Golov

Here we show that under quantum reconnection, simulated by using the three-dimensional Gross- Pitaevskii equation, self-helicity of a system of two interacting vortex rings remains conserved. By resolving the fine structure of the vortex…

Fluid Dynamics · Physics 2016-06-08 Simone Zuccher , Renzo L. Ricca

The simplest case is the reconnection of a pair of antiparallel line vortices, e.g., condensation trails of an aircraft. The vortices first undergo long wave deformation (Crow waves), and then reconnect to form coherent structures. Although…

Analysis of PDEs · Mathematics 2024-05-21 Francisco de la Hoz , Sergei Iakunin

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

The properties of vortices in superconducting thin films are revisited. The interaction between two Pearl vortices in an infinite film is approximated at all distances by a simple expression. The interaction of a vortex with a regular…

Superconductivity · Physics 2015-05-13 Ernst Helmut Brandt

The dynamics of quantum vortices in a two-dimensional annular condensate are considered by numerically simulating the Gross-Pitaevskii equation. Families of solitary wave sequences are reported, both without and with a persistent flow, for…

Other Condensed Matter · Physics 2012-09-27 Peter Mason , Natalia G. Berloff

Reconnections of coherent filamentary structures play a key role in the dynamics of fluids, redistributing energy and helicity among the length scales, triggering dissipative effects and inducing fine-scale mixing. Unlike ordinary…

Quantum Gases · Physics 2019-09-04 Luca Galantucci , Andrew W. Baggaley , Nick G. Parker , Carlo F. Barenghi

We investigate the behaviour of the mutual friction force in finite temperature quantum turbulence in $^4$He, paying particular attention to the role of quantized vortex reconnections. Through the use of the vortex filament model, we…

Fluid Dynamics · Physics 2015-06-23 Jason Laurie , Andrew W. Baggaley

We have theoretically investigated the structure of spinning self-bound droplets made of $^{41}$K-$^{87}$Rb Bose mixture by solving the Gross-Pitaevskii equation including beyond-mean-field correction in the Lee-Huang-Yang form. The…

Quantum Gases · Physics 2022-07-13 Matteo Caldara , Francesco Ancilotto

In quantum gases, weak links are typically realized with externally imposed optical potentials. We show that, in rotating binary condensates, quantized vortices in one component form hollow channels that act as self-induced weak links for…

Quantum Gases · Physics 2026-02-03 Natalia Masalaeva , Wyatt Kirkby , Francesca Ferlaino , Russell N. Bisset

By analyzing trajectories of solid hydrogen tracers in superfluid $^4$He, we identify tens of thousands of individual reconnection events between quantized vortices. We characterize the dynamics by the minimum separation distance…

Statistical Mechanics · Physics 2015-05-13 M. S. Paoletti , Michael E. Fisher , D. P. Lathrop

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

Specific topological excitations of energetically stable "core-and-mantle" configurations of trapped two-component immiscible Bose-Einstein condensates are studied numerically within the coupled Gross-Pitaevskii equations. Non-stationary…

Quantum Gases · Physics 2022-01-26 Victor P. Ruban

Collisions in a beam of unidirectional quantized vortex rings of nearly identical radii $R$ in superfluid $^4$He in the limit of zero temperature (0.05 K) were studied using time-of-flight spectroscopy. Reconnections between two primary…

Other Condensed Matter · Physics 2014-09-19 P. M. Walmsley , P. A. Tompsett , D. E. Zmeev , A. I. Golov

In this study, we propose a new approach to describing certain macroscopic objects that can arise in a quantum fluid. These objects are formed by means of quantum entanglement from the circular-shaped mesoscale and microscale vortices, and…

Mathematical Physics · Physics 2025-12-02 S. V. Talalov