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A large ensemble of quantum vortices in a superfluid may itself be treated as a novel kind of fluid that exhibits anomalous hydrodynamics. Here we consider the dynamics of vortex clusters with thermal friction, and present an analytic…

Melting of two-dimensional (2D) equilibrium crystals, from superconducting vortex lattices to colloidal structures, is a complex phenomenon characterized by the sequential loss of positional and orientational order. Whereas melting…

Soft Condensed Matter · Physics 2021-10-27 Martin James , Dominik Anton Suchla , Jörn Dunkel , Michael Wilczek

We study the dynamics of vortices in a two-dimensional, non-equilibrium system, described by the compact Kardar-Parisi-Zhang equation, after a sudden quench across the critical region. Our exact numerical solution of the phase-ordering…

Statistical Mechanics · Physics 2021-01-04 A. Zamora , N. Lad , M. H. Szymanska

Vortex lattices -- highly ordered arrays of vortices -- are known to arise in quantum systems such as type II superconductors and Bose-Einstein condensates. More recently, similar arrangements have been reported in classical rotating…

Fluid Dynamics · Physics 2025-10-09 Julián Amette Estrada , Alexandros Alexakis , Marc E. Brachet , Pablo D. Mininni

The temperature effect on the linear instability and the splitting process of a doubly quantized vortex is studied. Using the linear perturbation theory to calculate out the quasi-normal modes of the doubly quantized vortex, we find that…

High Energy Physics - Theory · Physics 2023-06-02 Shanquan Lan , Xin Li , Jiexiong Mo , Yu Tian , Yu-Kun Yan , Peng Yang , Hongbao Zhang

We report the observation of the melting of a vortex lattice in a fast rotating quasi-two dimensional Bose gas, under the influence of thermal fluctuations. We image the vortex lattice after a time-of-flight expansion, for increasing…

We study the behaviour of the monopole at finite temperature in the (2+1)-dimensional lattice gauge theory dual to the percolation model; by exploiting the correspondences to statistical systems, we possess powerful tools to evaluate the…

High Energy Physics - Lattice · Physics 2009-02-05 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

In this letter, the 6-vertex model on dynamical random lattices is defined via a matrix model and rewritten (following I. Kostov) as a deformation of the O(2) model. In the large N planar limit, an exact solution is found at criticality.…

Statistical Mechanics · Physics 2010-12-17 P. Zinn-Justin

After delineating the physical regimes which vortex lattices encounter in rotating Bose-Einstein condensates as the rotation rate, $\Omega$, increases, we derive the normal modes of the vortex lattice in two dimensions at zero temperature.…

Soft Condensed Matter · Physics 2009-11-10 Gordon Baym

We investigate some properties of thick vortices and thick monopoles in the SU(2) lattice gauge theory by inserting operators that create these excitations. We measure the derivative of the free energy of the vortex with respect to the…

High Energy Physics - Lattice · Physics 2009-10-31 S. Cheluvaraja

We study two dimensional superfluid turbulence by employing an effective description valid in the limit where the density of superfluid vortices is parametrically small. At sufficiently low temperatures the effective description yields an…

Quantum Gases · Physics 2014-11-12 Paul M. Chesler , Andrew Lucas

A set of equations according to which the conducting medium consists of two fluids - laminar and vortex, has been obtained in the present paper by transforming MHD equations. In a similar way, an electronic fluid is assumed to consist of a…

chao-dyn · Physics 2009-10-22 N. B. Volkov , A. M. Iskoldsky

The dynamics of vortex lattices in stirred Bose-Einstein condensates have been studied at finite temperatures. The decay of the vortex lattice was observed non-destructively by monitoring the centrifugal distortions of the rotating…

Soft Condensed Matter · Physics 2009-11-07 J. R. Abo-Shaeer , C. Raman , W. Ketterle

We study numerically the dynamical instabilities and splitting of singly and doubly quantized composite vortices in two-component Bose-Einstein condensates harmonically confined to quasi two dimensions. In this system, the vortices become…

Quantum Gases · Physics 2019-10-11 Pekko Kuopanportti , Soumik Bandyopadhyay , Arko Roy , D. Angom

We study the three-dimensional ground state vortex lattice structures of purely dipolar Bose-Einstein condensate (BEC). By using the mean-field model we obtain a stability diagram for the vortex states in purely dipolar BECs as a function…

We employ the Gross--Pitaevskii theory to model a quantized vortex depinning from a small obstacle in a two-dimensional superfluid due to an imposed background superfluid flow. We find that, when the flow's velocity exceeds a critical…

Quantum Gases · Physics 2024-06-24 I-Kang Liu , Srivatsa B. Prasad , Andrew W. Baggaley , Carlo F. Barenghi , Toby S. Wood

We studied a rotating Bose-Einstein condensate confined in ring trap configurations that can be produced starting with a bubble trap confinement, approximated by a Mexican hat and shifted harmonic oscillator potentials. Using a variational…

Quantum Gases · Physics 2024-06-18 Guilherme Tomishiyo , Lucas Madeira , Mônica A. Caracanhas

We study vortex unbinding for the classical two-dimensional XY model in a magnetic field on square and triangular lattices. A renormalization group analysis combined with duality in the model shows that at high temperature and high field,…

Condensed Matter · Physics 2015-06-24 H. A. Fertig , Kingshuk Majumdar

We introduce and investigate new models of the Chern-Simons type in the three-dimensional spacetime, focusing on the existence of compact vortices. The models are controlled by potentials driven by a single real parameter that can be used…

High Energy Physics - Theory · Physics 2017-06-29 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

We consider a two-leg boson ladder in an artificial U(1) gauge field and show that, in the presence of interleg attractive interaction, the flux induced Vortex state can be melted by dislocations. For increasing flux, instead of the…

Quantum Gases · Physics 2017-07-26 E. Orignac , R. Citro , M. Di Dio , S. De Palo