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In classical viscous fluids, turbulent eddies are known to be responsible for the rapid spreading of embedded particles. But in an inviscid quantum fluid where the turbulence is induced by a chaotic tangle of quantized vortices, dispersion…

Fluid Dynamics · Physics 2022-03-08 Satoshi Yui , Yuan Tang , Wei Guo , Hiromichi Kobayashi , Makoto Tsubota

We introduce a new method of statistical analysis to characterise the dynamics of turbulent fluids in two dimensions. We establish that, in equilibrium, the vortex distributions can be uniquely connected to the temperature of the vortex…

In two dimensions a microscopic theory providing a basis for the naive analogy between a quantized vortex in a superfluid and an electron in a uniform magnetic field is presented. Following the variational approach developed by Peierls,…

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

The microscopic mechanism of thermal dissipation in quantum turbulence has been numerically studied by solving the coupled system involving the Gross-Pitaevskii equation and the Bogoliubov-de Gennes equation. At low temperatures, the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Michikazu Kobayashi , Makoto Tsubota

Quantized vortices carry the angular momentum in rotating superfluids, and are key to the phenomenon of quantum turbulence. Advances in ultra-cold atom technology enable quantum turbulence to be studied in regimes with both experimental and…

Since the idea of quantum turbulence was first proposed by Feynman, and later realized in experiments of superfluid helium and Bose-Einstein condensates, much emphasis has been put in finding signatures that distinguish quantum turbulence…

Quantum Gases · Physics 2025-04-24 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

The density fluctuations of quantum vortex lines are measured in a turbulent flow of superfluid He, at temperatures corresponding to superfluid fraction of 16%, 47% and 81%. The probe is a micro-fabricated second sound resonator that allows…

Fluid Dynamics · Physics 2021-08-11 Eric Woillez , Jérôme Valentin , Philippe-E Roche

The dynamics of strongly interacting quantum fluids such as Helium II are fundamentally distinct from those of dilute, contact-interacting atomic Bose-Einstein condensates. Most dramatically, superfluids with finite-range interactions can…

Quantum Gases · Physics 2025-07-15 Samuel Alperin , Eddy Timmermans

The relativistic hydrodynamical equations are being examined with the aim of extracting the quantum-mechanical equations (the relativistic Klein-Gordon equation and the Schr\"odinger equation in the non-relativistic limit). In both cases it…

General Physics · Physics 2015-10-12 Valeriy I. Sbitnev

The dynamics of vortices in a superfluid film at the absolute zero of temperature is studied. The quantum-mechanical, i.e., ``first-quantized'' description is compared to a recently proposed quantum-field-theoretic, i.e.,…

Condensed Matter · Physics 2016-08-31 Joerg P. Kottmann , Adriaan M. J. Schakel

This article reviews recent developments in quantum fluid dynamics and quantum turbulence (QT) for superfluid helium and atomic Bose-Einstein condensates. Quantum turbulence was discovered in superfluid $^4$He in the 1950s, but the field…

Other Condensed Matter · Physics 2009-11-13 Makoto Tsubota

We compare dynamical and energetical stability criteria for vortex rings. It is argued that vortex rings will be intrinsically unstable against perturbations with short wavelengths below a critical wavelength, because the canonical vortex…

Condensed Matter · Physics 2007-05-23 Uwe R. Fischer , Nils Schopohl

We develop a neutral vortex fluid theory on closed surfaces with zero genus. The theory describes collective dynamics of many well-separated quantum vortices in a superfluid confined on a closed surface. Comparing to the case on a plane,…

Quantum Gases · Physics 2024-02-09 Yanqi Xiong , Xiaoquan Yu

We experimentally study emergence of microcanonical equilibrium states in the turbulent relaxation dynamics of a two-dimensional chiral vortex gas. Same-sign vortices are injected into a quasi-two-dimensional disk-shaped atomic…

After over a decade of experiments generating and studying the physics of quantized vortices in atomic gas Bose-Einstein condensates, research is beginning to focus on the roles of vortices in quantum turbulence, as well as other measures…

Quantum Gases · Physics 2015-06-15 Angela C. White , Brian P. Anderson , Vanderlei S. Bagnato

We derive a fully quantum-mechanical equation of motion for a vortex in a 2-dimensional Bose superfluid, in the temperature regime where the normal fluid density $\rho_n(T)$ is small. The coupling between the vortex "zero mode" and the…

Mesoscale and Nanoscale Physics · Physics 2012-05-21 L. Thompson , P. C. E. Stamp

In the presence of dipolar interactions the excitation spectrum of a Bose gas can acquire a local minimum. The corresponding quasiparticles are known as rotons. They are gaped and do not decay at zero temperature. Here we study the decay of…

Quantum Gases · Physics 2020-09-09 Hadrien Kurkjian , Zoran Ristivojevic

Superfluid 4He, the first superfluid ever discovered, is in some ways the least well understood. Unlike 3He superfluid, or the variety of Bose-Einstein condensates of ultracold gases, superfluid 4He is a very dense liquid of strongly…

Quantum Gases · Physics 2023-05-31 A. A. Milner , P. C. E. Stamp , V. Milner

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

In a recent article, Kwon et al. [Nature (London) {\bf 600}, 64 (2021)] revealed nonuniversal dissipative dynamics of quantum vortices in a fermionic superfluid. The enhancement of the dissipative process is pronounced for the…

Quantum Gases · Physics 2023-01-30 Andrea Barresi , Antoine Boulet , Piotr Magierski , Gabriel Wlazłowski