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We show that the Fractional Quantum Hall Effect can be phenomenologically described as a special flow of a quantum incompressible Euler liquid. This flow consists of a large number of vortices of the same chirality. In this approach each…

Strongly Correlated Electrons · Physics 2015-06-17 P. B. Wiegmann

We consider the motion of a vortex in an asymptotically homogeneous condensate bounded by a solid wall where the wave function of the condensate vanishes. For a vortex parallel to the wall, the motion is essentially equivalent to that…

Soft Condensed Matter · Physics 2009-11-11 Peter Mason , Natalia G. Berloff , Alexander L. Fetter

We present numerical evidence that Kelvin waves (KWs) on quantized vortices in superfluid helium can be directly observed in the normal fluid component at finite temperatures. Using the Fully cOUpled loCAl model of sUperfLuid Turbulence…

Fluid Dynamics · Physics 2026-04-14 Simone Scollo , Luca Galantucci , Giorgio Krstulovic

The dynamics of a two-dimensional vortex are analyzed within the framework of the nonlinear Schrodinger equation. Both a bare vortex and a vortex with an external mass trapped in a finite-sized core are considered. The bare vortex motion is…

Condensed Matter · Physics 2009-11-07 Michael J. Quist

Half-quantum votices and ordinary vortices in a rotating thin film superfluid $^3$He under a strong magnetic field are considered. It is shown that $2n+1$ half-quantum vortices interpolates between $n$ singular vortices and $n+1$ singular…

Superconductivity · Physics 2014-03-26 Mikio Nakahara , Tetsuo Ohmi

We study the motion of superfluid vortices with filled massive cores. Previous point-vortex models already pointed out the impact of the core mass on the vortex dynamical properties, but relied on an assumption that is questionable in many…

Quantum Gases · Physics 2023-09-06 Alice Bellettini , Andrea Richaud , Vittorio Penna

The nucleation and dynamics of vortices in the quasi-two-dimensional rotating dipolar Bose-Einstein condensate are explored by taking into account the Lee-Huang-Yang (LHY) correction to the mean-field (MF) theory. Assuming approximate…

Quantum Gases · Physics 2026-02-16 S. Sabari , R. Radha , Lauro Tomio , B. A. Malomed

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

Adding energy to a system through transient stirring usually leads to more disorder. In contrast, point-like vortices in a bounded two-dimensional fluid are predicted to reorder above a certain energy, forming persistent vortex clusters.…

Near absolute zero, superfluid liquid helium displays quantum properties at macroscopic length scales. One property, superfluidity, means flow with zero viscosity. Another property, the existence of a complex wavefunction, constrains the…

Fluid Dynamics · Physics 2022-07-12 Carlo F. Barenghi

Concepts from elementary quantum mechanics can be used to understand vortex line fluctuations in high-temperature superconductors. Flux lines are essentially classical objects, described by a string tension, their mutual repulsion, and…

Condensed Matter · Physics 2007-05-23 David R. Nelson

This work theoretically investigates \textcolor{black}{the stationary properties} and the dynamics of the rotating quantum liquid droplets confined in a two-dimensional symmetric anharmonic trap. Mimicking the quantum Hall systems, the…

Quantum Gases · Physics 2024-06-05 Szu-Cheng Cheng , Yu-Wen Wang , Wen-Hsuan Kuan

We consider superfluid turbulence near absolute zero of temperature generated by classical means, e.g. towed grid or rotation but not by counterflow. We argue that such turbulence consists of a {\em polarized} tangle of mutually interacting…

Chaotic Dynamics · Physics 2009-02-18 Victor S. L'vov , Sergei V. Nazarenko , Oleksii Rudenko

We argue that turbulence in superfluids is governed by two dimensionless parameters. One of them is the intrinsic parameter q which characterizes the friction forces acting on a vortex moving with respect to the heat bath, with 1/q playing…

Condensed Matter · Physics 2009-11-10 G. E. Volovik

Using fully-resolved simulations, we investigate the torque experienced by a finite-length circular cylinder rotating steadily perpendicularly to its symmetry axis. The aspect ratio $\chi$, i.e. the ratio of the length of the cylinder to…

Fluid Dynamics · Physics 2021-09-15 Jean-Lou Pierson , Mohammed Kharrouba , Jacques Magnaudet

In binary mixtures of Bose-Einstein condensates, massive-vortex dipoles can arise, and undergo scattering processes against obstacles. These show an intriguing dynamics, governed by the strongly nonlinear character of the quantum vortex…

Quantum Gases · Physics 2025-10-28 Alice Bellettini , Enrico Ortu , Vittorio Penna

We report an experimental and numerical study of turbulent fluid motion in a free surface. The flow is realized experimentally on the surface of a tank filled with water stirred by a vertically oscillating grid positioned well below the…

Chaotic Dynamics · Physics 2009-10-31 W. I. Goldburg , J. R. Cressman , Z. Voros , B. Eckhardt , J. Schumacher

The reciprocal energy and enstrophy transfers between normal fluid and superfluid components dictate the overall dynamics of superfluid $^4$He including the generation, evolution and coupling of coherent structures, the distribution of…

A superfluid flows without friction below a critical velocity, exhibiting zero drag force on impurities. Above this threshold, superfluidity breaks down, and the internal energy is redistributed into incoherent excitations such as vortices.…

The theory describing the evolution of inhomogeneous vortex tangle at zero temperature is developed on the bases of kinetics of merging and splitting vortex loops. Vortex loops composing the vortex tangle can move as a whole with some drift…

Other Condensed Matter · Physics 2015-05-13 Sergey K. Nemirovskii
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