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In a two-dimensional (2D) classical fluid, a large-scale flow structure emerges out of turbulence, which is known as the inverse energy cascade where energy flows from small to large length scales. An interesting question is whether this…

Quantum Gases · Physics 2017-07-12 Sang Won Seo , Bumsuk Ko , Joon Hyun Kim , Yong-il Shin

We experimentally explore the rich variety of nonlinear coherent structures arising in a turbulent flow of superfluid light past an obstacle in an all-optical configuration. The different hydrodynamic regimes observed are organised in a…

The structure and energetics of superflow around quantized vortices, and the motion inherited by these vortices from this superflow, are explored in the general setting of the superfluidity of helium-four in arbitrary dimensions. The…

Statistical Mechanics · Physics 2009-11-13 Paul M. Goldbart , Florin Bora

We consider a simple experimental setup, based on a harmonic confinement, where a Bose-Einstein condensate and a thermal cloud of weakly interacting alkali atoms are trapped in two different vessels connected by a narrow channel. Using the…

Quantum Gases · Physics 2012-12-12 Tomasz Karpiuk , Benoit Gremaud , Christian Miniatura , Mariusz Gajda

General relativity predicts that the curvature of spacetime induces spin rotations on a parallel transported particle. We deploy Unruh's analogue gravity picture and consider a quantised vortex embedded in a two-dimensional superfluid…

Quantum Gases · Physics 2023-05-26 Emil Génetay Johansen , Tapio Simula

We conduct a theoretical study of the creation and dynamics of vortices in a two-dimensional binary Bose-Einstein condensate with a mass imbalance between the species. To initiate the dynamics, we use one or two rotating paddle potentials…

Quantum Gases · Physics 2022-08-08 Subrata Das , Koushik Mukherjee , Sonjoy Majumder

Motivated by a recent experiment [K.C. Wright et. al. Phys. Rev. Lett. 110, 025302 (2013)], we investigate deterministic discontinuous jumps between quantized circulation states in a toroidally trapped Bose-Einstein condensate. These phase…

Quantum Gases · Physics 2015-06-22 A. I. Yakimenko , Y. M. Bidasyuk , M. Weyrauch , Y. I. Kuriatnikov , S. I. Vilchinskii

We consider the theoretical setting of a superfluid like 3He in a rotating container, which is set between the two layers of a type-II superconductor. We describe the superfluid vortices as a 2-dimensional Ising-like model on a triangular…

Quantum Physics · Physics 2010-06-08 Paola Zizzi , Eliano Pessa , Fabio Cardone

A quantum vortex dipole, comprised of a closely bound pair of vortices of equal strength with opposite circulation, is a spatially localized travelling excitation of a planar superfluid that carries linear momentum, suggesting a possible…

Quantum Gases · Physics 2019-03-13 Michael M. Cawte , Xiaoquan Yu , Brian P. Anderson , Ashton S. Bradley

Spontaneous pattern formation out of homogeneous media is one of the well-understood examples of hydrodynamic instabilities in classical systems, which naturally leads to the question of its manifestation in quantum fluids. Bose-Einstein…

Quantum Gases · Physics 2026-01-12 Kiryang Kwon , Jae-yoon Choi

We use a combination of numerical simulations and experiments to elucidate the structure of the flow of an electrically conducting fluid past a localized magnetic field, called magnetic obstacle. We demonstrate that the stationary flow…

Fluid Dynamics · Physics 2007-05-23 E. V. Votyakov , Yu. Kolesnikov , O. Andreev , E. Zienicke , A. Thess

Dynamics of a superfluid flow past an obstacle are investigated by solving the Gross-Pitaevskii equation numerically. For an appropriate velocity and size of the obstacle, quantized vortices are periodically generated in the wake, which…

Quantum Gases · Physics 2015-04-13 Hiroki Saito , Kenta Tazaki , Tomohiko Aioi

We study the flow of a weakly-interacting Bose-Einstein condensate around an obstacle by numerical solution of the Gross-Pitaevskii equation. We observe vortex emission and the formation of bow waves leading to pressure drag. We compare the…

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

The past decade has seen atomic Bose-Einstein condensates emerge as a promising prototype system to explore the quantum mechanical form of turbulence, buoyed by a powerful experimental toolbox to control and manipulate the fluid, and the…

Quantum Gases · Physics 2017-05-04 N. G. Parker , A. J. Allen , C. F. Barenghi , N. P. Proukakis

Recent advances in cold-atom platforms have made real-time dynamics accessible, renewing interest in the motion of superfluid vortices in two-dimensional domains. Here we show that the energy and the trajectories of arbitrary vortex…

Quantum Gases · Physics 2024-08-12 Matteo Caldara , Andrea Richaud , Pietro Massignan , Alexander L. Fetter

In this note, we study an obstacle problem for the elastic flow. We prove the local-in-time existence of weak solutions and discuss their relation to classical solutions when additional regularity is obtained. Related results concerning…

Analysis of PDEs · Mathematics 2025-12-29 Kensuke Yoshizawa

The transition from the quantum to the classical world and its relation to Bose-Einstein condensation and superfluidity is explained in ten equations.

General Physics · Physics 2025-01-29 Phil Attard

Rotating turbulence is ubiquitous in nature. Previous works suggest that such turbulence could be described as an ensemble of interacting inertial waves across a wide range of length scales. For turbulence in macroscopic quantum…

The piston shock problem is a prototypical example of strongly nonlinear fluid flow that enables the experimental exploration of fluid dynamics in extreme regimes. Here we investigate this problem for a nominally dissipationless, superfluid…

Quantum Gases · Physics 2018-11-09 Maren E. Mossman , Mark A. Hoefer , Keith Julien , Panos G. Kevrekidis , Peter Engels

We simulate the transformation of a classical fluid into a quantum-like (super)-fluid by the application of a generalized quantum potential through a retro-active loop. This numerical experiment is exemplified in the case of a non-spreading…

Quantum Physics · Physics 2007-05-23 L. Nottale , T. Lehner
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