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A quantized vortex dipole is the simplest vortex molecule, comprising two counter-circulating vortex lines in a superfluid. Although vortex dipoles are endemic in two-dimensional superfluids, the precise details of their dynamics have…

We predict the formation of giant vortices in quasi-two-dimensional quantum dots at high magnetic fields, i.e., in rapidly rotating electron droplets. Our numerical results of quantum dots confined by a flat, anharmonic potential show…

Strongly Correlated Electrons · Physics 2007-05-23 E. Rasanen , H. Saarikoski , Y. Yu , A. Harju , M. J. Puska , S. M. Reimann

We demonstrate that the confinement of half-quantized vortices (HQVs) in coherently coupled Bose-Einstein condensates (BECs) simulates certain aspects of the confinement in $SU(2)$ quantum chromodynamics (QCD) in 2+1 space-time dimensions.…

Quantum Gases · Physics 2018-02-14 Minoru Eto , Muneto Nitta

We investigate a small vortex-lattice system of four co-rotating vortices in an atomic Bose--Einstein condensate and find that the vortex dynamics display chaotic behaviour after a system quench introduced by reversing the direction of…

A mathematical lattice, called the von Neumann lattice, is a subset of coherent states and exists periodically in the phase space. It is unlike solids or Abrikosov lattices that are observable in physical systems. Abrikosov lattices are…

Quantum Gases · Physics 2015-04-09 Szu-Cheng Cheng , Shih-Da Jheng

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 structure of a quantized vortex in a Bose-Einstein Condensate is investigated using the projection method developed by Peierls, Yoccoz, and Thouless. This method was invented to describe the collective motion of a many-body system…

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

Motivated by the recent successes of particle models in capturing the precession and interactions of vortex structures in quasi-two-dimensional Bose-Einstein condensates, we revisit the relevant systems of ordinary differential equations.…

Quantum Gases · Physics 2014-12-03 T. Kolokolnikov , P. G. Kevrekidis , R. Carretero-Gonzalez

The global spin polarization of hadrons in heavy ion collisions has been measured in STAR (the Solenoidal Tracker At Relativistic heavy ion collider) experiments, which opens up a new window in the study of the hottest, least viscous and…

Nuclear Theory · Physics 2022-10-11 Jian Deng , Qun Wang , Hong Zhang

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

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 investigate the coupled dynamics of quantized vortices and normal fluid in superfluid $^4$He at finite temperatures using a numerical approach based on the vortex filament model (VFM) and lattice Boltzmann method (LBM). The LBM allows us…

Other Condensed Matter · Physics 2021-12-22 Sosuke Inui , Makoto Tsubota

The combination of multi-component Bose-Einstein condensates (BECs) and phase imprinting techniques provides an ideal platform for exploring nonlinear dynamics and investigating the quantum transport properties of superfluids. In this…

Quantum Gases · Physics 2023-07-28 Jianchong Xing , Wenkai Bai , Bo Xiong , Jun-Hui Zheng , Tao Yang

The dynamics of a vortex filament in a trapped Bose-Einstein condensate is considered when the equilibrium density of the condensate, in rotating with angular velocity ${\bf\Omega}$ coordinate system, is Gaussian with a quadratic form ${\bf…

Quantum Gases · Physics 2017-02-28 V. P. Ruban

A trapped Bose--Einstein-condensed mixture of two types of cold atoms with significantly different masses has been simulated numerically within the coupled Gross--Pitaevskii equations. A configuration consisting of a vortex-free core and a…

Quantum Gases · Physics 2022-11-23 Victor P. Ruban

The ab-initio simulation of quantum vortices in a Bose-Einstein condensate is performed by adopting the complex Langevin techniques. We simulate the nonrelativistic boson field theory at finite chemical potential under rotation. In the…

Quantum Gases · Physics 2015-11-11 Tomoya Hayata , Arata Yamamoto

We study the dynamics of a vortex in a quasi two-dimensional Bose gas consisting of light matter coupled atoms forming two-component pseudo spins. The gas is subject to a density dependent gauge potential, hence governed by an interacting…

Quantum Gases · Physics 2016-08-24 Salvatore Butera , Manuel Valiente , Patrik Öhberg

The thermodynamic stability of quantized vortex patterns in rotating Bose-Einstein condensates is assessed at finite temperature using complex Langevin sampling. We construct a temperature-rotation frequency phase diagram and find that that…

Quantum Gases · Physics 2024-09-13 Kimberlee Keithley , Kris T. Delaney , Glenn H. Fredrickson

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

The local induction equation, approximately describing dynamics of a quantized vortex filament in a trapped Bose-Einstein condensate in the Thomas-Fermi regime on a spatially nonuniform density background $\rho({\bf r})$ and taking…

Quantum Gases · Physics 2017-09-18 Victor P. Ruban