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We study a superfluid in a rotating anharmonic trap and explicate a rigorous proof of a transition from a vortex lattice to a giant vortex state as the rotation is increased beyond a limiting speed determined by the interaction strength.…

Quantum Gases · Physics 2013-05-29 Michele Correggi , Florian Pinsker , Nicolas Rougerie , Jakob Yngvason

We present a method for evolving the projected Gross-Pitaevskii equation in an infinite rotating Bose-Einstein condensate, the ground state of which is a vortex lattice. We use quasi-periodic boundary conditions to investigate the behaviour…

Quantum Gases · Physics 2020-09-16 R. Doran , T. P. Billam

This study proposed a new numerical scheme for vortex lattice formation in a rotating Bose-Einstein condensate (BEC) using smoothed particle hydrodynamics (SPH) with an explicit real-time integration scheme. Specifically, the…

Quantum Gases · Physics 2023-04-19 Satori Tsuzuki

Quantized vortices are the prototypical feature of superfluidity. Pervasive in all natural systems, vortices are yet to be observed in dipolar quantum gases. Here, we exploit the anisotropic nature of the dipole-dipole interaction of a…

We present an extension of the framework introduced in [1] to treat multicomponent systems, showing that new degrees of freedom are necessary in order to obtain the desired boundary conditions. We then apply this extended framework to the…

Quantum Gases · Physics 2019-02-01 Luca Mingarelli , Eric E Keaveny , Ryan Barnett

Recently observed signatures of Bose-Einstein condensation and superfluidity of dipolar excitons have drawn enormous attention to excitonic semiconductor bilayers. In superfluids, stabilization and observation of vortex matter is usually a…

Other Condensed Matter · Physics 2025-07-29 Sara Conti , Andrey Chaves , Luis A. Pena Ardila , David Neilson , Milorad V. Milosevic

We report on the first mathematically rigorous proofs of a transition to a giant vortex state of a superfluid in rotating anharmonic traps. The analysis is carried out within two-dimensional Gross-Pitaevskii theory at large coupling…

Quantum Gases · Physics 2019-10-01 M. Correggi , F. Pinsker , N. Rougerie , J. Yngvason

When two vortices cross, each of them breaks into two parts and exchanges part of itself for part of the other. This process, called vortex reconnection, occurs in classical as well as superfluids, and in magnetized plasmas and…

Other Condensed Matter · Physics 2009-11-13 Gregory P. Bewley , Matthew S. Paoletti , Katepalli R. Sreenivasan , Daniel P. Lathrop

One of the main features of superfluids is the presence of topological defects with quantised circulation. These objects are known as quantum vortices and exhibit a hydrodynamic behaviour. Nowadays, particles are the main experimental tool…

Fluid Dynamics · Physics 2019-03-21 Umberto Giuriato , Giorgio Krstulovic

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 investigate theoretically the formation of a vortex lattice in a superfluid two-spin component Fermi gas in a rotating harmonic trap, in a BCS-type regime of condensed non-bosonic pairs. Our analytical solution of the superfluid…

Other Condensed Matter · Physics 2016-08-16 Giulia Tonini , Félix Werner , Yvan Castin

By utilizing the AdS/CFT correspondence, we explore the dynamics of strongly coupled superfluid vortices in a disk with constant angular velocity. Each vortex in the vortex lattice is quantized with vorticity one from the direct inspection…

High Energy Physics - Theory · Physics 2019-09-18 Chuan-Yin Xia , Hua-Bi Zeng , Hai-Qing Zhang , Zhang-Yu Nie , Yu Tian , Xin Li

Numerical simulations of vortex motion in a trapped Bose-Einstein condensate were performed by solving the two-dimensional Gross-Pitaevskii equation in the presence of a simple phenomenological model of interaction between the condensate…

Other Condensed Matter · Physics 2008-07-24 Eniko J. M. Madarassy

This article reviews developments in the theory of rapidly rotating degenerate atomic gases. The main focus is on the equilibrium properties of a single component atomic Bose gas, which (at least at rest) forms a Bose-Einstein condensate.…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 N. R. Cooper

We derive a set of equations that describe the shape and behaviour of a single perturbed vortex line in a Bose-Einstein condensate. Through the use of a matched asymptotic expansion and a unique coordinate transform a relation for a…

Quantum Gases · Physics 2013-05-30 Lyndon Koens , Andrew M. Martin

We report on the observation of vortex formation in a Bose-Einstein condensate of Rb-87 atoms. Vortices are generated by superimposing an oscillating excitation to the trapping potential introduced by an external magnetic field. For small…

We study the energetics of vortices and vortex lattices produced by rotation in the cyclic phase of F=2 spinor Bose condensates. In addition to the familiar triangular lattice predicted by Tkachenko for $^4$He, many more complex lattices…

Other Condensed Matter · Physics 2009-11-13 Ryan Barnett , Subroto Mukerjee , Joel E. Moore

Within mean field Gross-Pitaevskii framework, ultra cold atomic condensates with long range interaction is predicted to have a supersolid like ground state beyond a critical interaction strength. Such mean field supersolid like ground state…

Quantum Gases · Physics 2015-04-17 Rashi Sachdeva , Sankalpa Ghosh

A two-component Fermi gas with attractive s-wave interactions forms a superfluid at low temperatures. When this gas is confined in a rotating trap, fermions can unpair at the edges of the gas and vortices can arise beyond certain critical…

Quantum Gases · Physics 2011-08-11 Harmen J. Warringa , Armen Sedrakian

A key feature of ultra-light dark matter composed by bosons is the formation of superfluid Bose-Einstein condensate (BEC) structures on galactic scales. We study collisions of BEC solitonic and vortex structures in the framework of the…

Pattern Formation and Solitons · Physics 2023-07-19 Y. O. Nikolaieva , Y. M. Bidasyuk , K. Korshynska , E. V. Gorbar , Junji Jia , A. I. Yakimenko