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We present a numerical method for generating vortex rings in Bose-Einstein condensates confined in axially symmetric traps. The vortex ring is generated using the line-source approximation for the vorticity, i.e., the rotational of the…

Condensed Matter · Physics 2009-11-07 M. Guilleumas , D. M. Jezek , R. Mayol , M. Pi , M. Barranco

The structure of a quantized vortex in a Bose-Einstein Condensate is investigated using the projection method developed by Peierls, Yoccoz, and Thouless. This method was invented to describe the collective motion of a many-body system…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

Lorentz transformation of the reduced helicity density matrix for a massive spin 1/2 particle is investigated in the framework of relativistic quantum information theory for the first time. The corresponding helicity entropy is calculated,…

Quantum Physics · Physics 2008-11-26 Song He , Shuxin Shao , Hongbao Zhang

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

A symmetric anti-parallel quantum pair of vortices is simulated using the three-dimensional Gross-Pitaevski equations. The initial development before cores interact directly demonstrates the traditional vortex dynamics of stretching,…

Quantum Gases · Physics 2010-09-22 Robert M. Kerr

Linear defects are generic in continuous media. In quantum systems they appear as topological line defects which are associated with a circulating persistent current. In relativistic quantum vacuum they are known as cosmic strings, in…

Condensed Matter · Physics 2007-05-23 G. E. Volovik

We prove instantaneous cusp formation for any initial vortex patch with acute corners. This was conjectured to occur in the numerical literature.

Analysis of PDEs · Mathematics 2025-04-16 Tarek M. Elgindi , Min Jun Jo

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

Reconnections between quantum vortex filaments in presence of trapped particles are investigated using numerical simulations of the Gross--Pitaevskii equation. Particles are described with classical degrees of freedom and modeled as highly…

Fluid Dynamics · Physics 2020-09-18 Umberto Giuriato , Giorgio Krstulovic

Using density functional theory, we have theoretically studied the formation and the stability of vortices in quantum liquid droplets composed of a mixture of hyperfine states of potassium. Following the experimental setup that produced…

Quantum Gases · Physics 2025-11-17 Ivan Poparić , Leandra Vranješ Markić , Jordi Boronat

We study the non-equilibrium dynamics of two dimensional planar ion Coulomb crystals undergoing a structural buckling transition to a three plane configuration, driven by a reduction of the transverse confining frequency. This phase…

Statistical Mechanics · Physics 2022-10-05 Michael Arnold , Ramil Nigmatullin

Vortons are closed loops of superconducting strings carrying current and charge. A formalism has been developed to study vortons in terms of an elastic string approximation, but its implementation requires knowledge of the unknown equation…

High Energy Physics - Theory · Physics 2009-11-05 Richard Battye , Paul Sutcliffe

We analyse the concentration of solid particles in vortices created and sustained by radial buoyancy in protoplanetary disks, i.e. baroclinic vortex growth. Besides the gas drag acting on particles we also allow for back-reaction from dust…

Earth and Planetary Astrophysics · Physics 2016-12-07 Natalie Raettig , Hubert Klahr , Wladimir Lyra

Vortices have been postulated at a range of size scales in the universe including at the stellar size-scale. Whilst hydrodynamically simulating the wind from an asymptotic giant branch (AGB) star moving through and sweeping up its…

Astrophysics · Physics 2009-11-13 C J Wareing , Albert A Zijlstra , T J O'Brien

We consider quantum global vortex string correlation functions, within the Kalb-Ramond framework, in the presence of a background field-strength tensor and investigate the conditions under which this yields a nontrivial contribution to…

High Energy Physics - Theory · Physics 2009-11-11 E. C. Marino

We investigate the time evolution of the density of kinks in the spin-1/2 quantum Ising spin chain after a sudden quench in the transverse field strength, and find that it relaxes to a value which depends on the initial and the final values…

Statistical Mechanics · Physics 2009-10-22 Sei Suzuki , Davide Rossini , Giuseppe E. Santoro

In a concurrent work, Villois et al. 2020 reported the evidence that vortex reconnections in quantum fluids follow an irreversible dynamics, namely vortices separate faster than they approach; such time-asymmetry is explained by using…

Fluid Dynamics · Physics 2020-10-20 Davide Proment , Giorgio Krstulovic

Vortex structures in dilute quantum fluids are studied using the Gross-Pitaevskii equation. The velocity and momentum of multiply quantized vortex rings are determined and their core structures analysed. For flow past a spherical object, we…

Condensed Matter · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

The superfluid density is calculated theoretically for incompressible vortex lattices in two dimensions that have isolated dislocations quenched in by a random arrangement of pinned vortices. The latter are assumed to be sparse and to be…

Superconductivity · Physics 2007-05-23 J. P. Rodriguez

We carry out numerical simulation of a first order phase transition in 2+1 dimensions by randomly nucleating bubbles, and study the formation of global U(1) vortices. Bubbles grow and coalesce and vortices are formed at junctions of bubbles…

High Energy Physics - Phenomenology · Physics 2014-11-17 Sanatan Digal , Supratim Sengupta , Ajit M. Srivastava
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