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We study quantum vortex states consisting of a ring of vortices with alternating sign, in a homogeneous superfluid confined to a circular domain. We find an exact stationary solution of the point vortex model for the neutral vortex…

Quantum Gases · Physics 2021-02-03 M. M. Cawte , M. T. Reeves , A. S. Bradley

We numerically investigate nucleation processes in the transient dynamics of the two-dimensional complex Ginzburg-Landau equation towards its "frozen" state with quasi-stationary spiral structures. We study the transition kinetics from…

Statistical Mechanics · Physics 2019-11-27 Weigang Liu , Uwe C. Täuber

We studied a rotating Bose-Einstein condensate confined in ring trap configurations that can be produced starting with a bubble trap confinement, approximated by a Mexican hat and shifted harmonic oscillator potentials. Using a variational…

Quantum Gases · Physics 2024-06-18 Guilherme Tomishiyo , Lucas Madeira , Mônica A. Caracanhas

We report on the first mathematically rigorous proofs of a transition to a giant vortex state of a superfluid in rotating anharmonic traps. The analysis is carried out within two-dimensional Gross-Pitaevskii theory at large coupling…

Quantum Gases · Physics 2019-10-01 M. Correggi , F. Pinsker , N. Rougerie , J. Yngvason

We propose to induce topological defects in particle-hole symmetric superfluids, with the prime example of the BCS state of ultracold atoms and detect their time evolution and decay. We demonstrate that the time evolution is qualitatively…

Quantum Gases · Physics 2021-11-16 Jim Skulte , Lukas Broers , Jayson G. Cosme , Ludwig Mathey

An insight into vortex reconnections in superfluids is presented making use of analytical results and numerical simulations of the Gross--Pitaevskii model. Universal aspects of the reconnection process are investigated by considering…

Fluid Dynamics · Physics 2017-04-12 Alberto Villois , Giorgio Krstulovic , Davide Proment

In the framework of generalized, nonlocal Gross-Pitaevskii (GP) model, we study numerically the pressure- and size-dependent mechanisms of roton emission and vortex nucleation by objects moving in superfluid $^4$He. As far as the authors…

Quantum Gases · Physics 2026-05-26 Nicolás Pablo Müller , Ladislav Skrbek , Yuri A. Sergeev , Giorgio Krstulovic

We solve the time-dependent Gross-Pitaevskii in 2-D to simulate the flow of an object through a dilute Bose condensate trapped in a harmonic well. We demonstrate vortex formation and analyze the process in terms of the accumulation of…

Statistical Mechanics · Physics 2007-05-23 B. Jackson , J. F. McCann , C. S. Adams

We numerically investigate the nonlinear dynamics of a two-dimensional exciton-polariton quantum fluid coherently driven by two counter-propagating laser beams. Using an exciton-photon coupled driven-dissipative Gross-Pitaevskii framework,…

Quantum Physics · Physics 2026-03-06 Louis Depaepe , Kayce Ouahrouche , Alberto Amo , Clement Hainaut

In this article, we review the research on the dynamics of quantized vortices in superfluid helium and rotating Bose-Einstein condensates. First, after briefly reviewing the earlier research and describing the current problems on quantized…

Condensed Matter · Physics 2007-05-23 Makoto Tsubota , Kenichi Kasamatsu , Tsunehiko Araki

This work rectifies the hydrodynamic equations commonly used to describe the superfluid velocity field in such a way that vortex dynamics are also taken into account. In the field of quantum turbulence, it is of fundamental importance to…

Quantum Gases · Physics 2017-02-16 F. Ednilson A. dos Santos

The experimental investigation of spontaneously created vortices is of utmost importance for the understanding of quantum phase transitions towards a superfluid phase, especially for two dimensional systems that are expected to be governed…

We study numerically the formation of a vortex lattice inside a rotating bucket containing superfluid helium, paying attention to an important feature which is practically unavoidable in all experiments: the microscopic roughness of the…

Fluid Dynamics · Physics 2020-10-22 N. A. Keepfer , G. W. Stagg , L. Galantucci , C. F. Barenghi , N. G. Parker

We derive, from the Gross-Pitaevskii equation, an exact expression for the velocity of any vortex in a Bose-Einstein condensate, in equilibrium or not, in terms of the condensate wave function at the center of the vortex. In general, the…

Other Condensed Matter · Physics 2009-11-11 Halvor M. Nilsen , Gordon Baym , C. J. Pethick

We use classical field simulations of the homogeneous Bose gas to study the breakdown of superflow due to vortex nucleation past a cylindrical obstacle at finite temperature. Thermal fluctuations modify the vortex nucleation from the…

Quantum Gases · Physics 2016-02-26 G. W. Stagg , R. W. Pattinson , C. F. Barenghi , N. G. Parker

We propose a new model for the nature of the nucleation of solid from the superfluid phases of $^4$He and $^3$He. Unique to the superfluid phases the solid nucleation involves an extremely fast solidification front. This results in a local…

Condensed Matter · Physics 2007-05-23 Nir Gov

We explore instabilities in binary superfluids with a nonvanishing relative superflow, particularly focusing on counterflow and coflow instabilities. We extend recent results on the thermodynamic origin of finite superflow instabilities in…

High Energy Physics - Theory · Physics 2026-01-08 Yuping An , Blaise Goutéraux , Li Li

Vortices are commonly observed in the context of classical hydrodynamics: from whirlpools after stirring the coffee in a cup to a violent atmospheric phenomenon such as a tornado, all classical vortices are characterized by an arbitrary…

Quantum Gases · Physics 2017-04-06 G. Bighin , L. Salasnich

The study of vortex flows around solid obstacles is of considerable interest from both a theoretical and practical perspective. One geometry that has attracted renewed attention recently is that of vortex flows past a circular cylinder…

Fluid Dynamics · Physics 2019-05-06 G. L. Vasconcelos , M. Moura

We present a systematic derivation of the effective action for interacting vortices in a non-relativistic two-dimensional superfluid described by the Gross-Pitaevskii equation by integrating out longitudinal fluctuations of the order…

Quantum Gases · Physics 2014-11-26 Andrew Lucas , Piotr Surówka
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