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We consider a relativistic two-fluid model of superfluidity, in which the superfluid is described by an order parameter that is a complex scalar field satisfying the nonlinear Klein-Gordon equation (NLKG). The coupling to the normal fluid…

High Energy Physics - Theory · Physics 2025-04-03 Chi Xiong , Kerson Huang

Supersolidity -- a quantum-mechanical phenomenon characterized by the presence of both superfluidity and crystalline order -- was initially envisioned in the context of bulk solid helium, as a possible answer to the question of whether a…

We generalize Kirchhoff's point vortex model of two-dimensional fluid motion to a rotor model which exhibits an inverse cascade by the formation of rotor clusters. A rotor is composed of two vortices with like-signed circulations glued…

Statistical Mechanics · Physics 2013-11-27 Jan Friedrich , Rudolf Friedrich

We formulate a quantum theory of vorticity (hydro)dynamics on a general two-dimensional bosonic lattice. In the classical limit of a bosonic condensate, it reduces to conserved plasma-like vortex-antivortex dynamics. The nonlocal…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Yaroslav Tserkovnyak , Ji Zou

Nanoscale hydrogen particles in superfluid helium track the motions of quantized vortices. This provides a way to visualize turbulence in the superfluid. Here, we trace the evolution of the hydrogen from a gas to frozen particles migrating…

Statistical Mechanics · Physics 2013-07-29 Gregory P. Bewley , Jürgen Vollmer

Recent work has highlighted the remarkable properties of quantum turbulence in superfluid helium II, consisting of a disordered tangle of quantised vortex lines which interact with each other and reconnect when they collide. According to…

Fluid Dynamics · Physics 2025-11-04 Luca Galantucci , Giorgio Krstulovic , Carlo F Barenghi

Numerical calculations of Helium-II hydrodynamics show that a dense tangle of superfluid vortices induces in an initially stationary normal fluid a highly dissipative, complex, vortical flow pattern ("turbulence") with a -2.2 energy…

Fluid Dynamics · Physics 2007-05-23 Demosthenes Kivotides

Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence. The fluid rotation associated with a vortex can be parameterized by the circulation $\Gamma=\oint {\rm d}{\bf…

Other Condensed Matter · Physics 2015-05-13 N. G. Parker , B. Jackson , A. M. Martin , C. S. Adams

Like many quantum fluids, superfluid helium-4 (He II) can be considered as a mixture of two miscible fluid components: an inviscid superfluid and a viscous normal fluid consisting of thermal quasiparticles [1]. A mutual friction between the…

Quantum Gases · Physics 2022-11-04 Yuan Tang , Wei Guo , Hiromichi Kobayashi , Satoshi Yui , Makoto Tsubota , Toshiaki Kanai

We investigate superfluidity, and the mechanism for creation of quantized vortices, in the relativistic regime. The general framework is a nonlinear Klein-Gordon equation in curved spacetime for a complex scalar field, whose phase dynamics…

High Energy Physics - Theory · Physics 2014-12-24 Chi Xiong , Michael R. R. Good , Yulong Guo , Xiaopei Liu , Kerson Huang

Singly quantized vortices have been already observed in many systems including the superfluid helium, Bose Einstein condensates of dilute atomic gases, and condensates of exciton polaritons in the solid state. Two dimensional superfluids…

Quantum Gases · Physics 2009-11-16 K. G. Lagoudakis , T. Ostatnicky , A. V. Kavokin , Y. G. Rubo , R. Andre , B. Deveaud-Pledran

This article provides an overview, primarily from an experimental perspective, of recent progress and future prospects in using helium to realize a range of quantum materials of generic interest, by "top-down" and "bottom-up"…

Strongly Correlated Electrons · Physics 2019-10-03 J. Saunders

Based on the theory of the thermodynamic equilibrium in a system of quantum vortices in superfluids in the presence of a counterflow, the influence of a vortex tangle on various thermodynamic phenomena in quantum liquids is studied. Using…

Soft Condensed Matter · Physics 2024-08-02 Sergey K. Nemirovskii

This paper reviews briefly the recent important developments in the physics of quantum turbulence (QT) in superfluid helium and atomic Bose-Einstain condensates (BECs). After giving basics of quantum hydrodynamics, we discuss energy…

Quantum Gases · Physics 2015-06-18 Makoto Tsubota

It is well known that a superfluid rotates by forming an array of quantized vortices. A relativistic formulation for superfluid vortex dynamics is required for a range of problems in astrophysics and cosmology, from neutron star interiors…

General Relativity and Quantum Cosmology · Physics 2020-06-17 N. Andersson , S. Wells , G. L. Comer

We study theoretically the dynamics of charged quantized vortices (CQVs). CQVs (ion-vortex complexes) have been used as an important probe in the field of quantum hydrodynamics. Recent experimental studies of quantum turbulence at very low…

Other Condensed Matter · Physics 2009-09-14 Makoto Tsubota , Hiroyuki Adachi

In spite of an appearance of some impressive recent results in understanding of the superfluid turbulence in HeII they fail to evaluate many characteristics of vortex tangle needed for both applications and fundamental study. Early we…

Statistical Mechanics · Physics 2007-05-23 Sergey K. Nemirovskii , Mikhail V. Nedoboiko

The quantum diffusion of a vortex in a two-component quantum fluid of light is investigated. In these systems, the Kerr nonlinearity promotes interactions between the photons, displaying features that are analogue of a Bose-Einstein…

Quantum Gases · Physics 2023-12-12 M. Roldão , J. L. Figueiredo , P. Monteiro , J. T. Mendonça , H. Terças

Properties of distributed chaos in superfluid (quantum) turbulence have been studied using the data of recent direct numerical simulations (HVBK two-fluid model for He II, and a moving grid in the frames of Gross-Pitaevskii model of the…

Fluid Dynamics · Physics 2016-09-21 A. Bershadskii

Turbulence is characterized by a large number of degrees of freedom, distributed over several length scales, that result into a disordered state of a fluid. The field of quantum turbulence deals with the manifestation of turbulence in…

Quantum Gases · Physics 2019-10-29 L. Madeira , M. A. Caracanhas , F. E. A. dos Santos , V. S. Bagnato