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We derive, from the Gross-Pitaevskii equation, an exact expression for the velocity of any vortex in a Bose-Einstein condensate, in equilibrium or not, in terms of the condensate wave function at the center of the vortex. In general, the…

Other Condensed Matter · Physics 2009-11-11 Halvor M. Nilsen , Gordon Baym , C. J. Pethick

We have studied the appearance of vortex arrays in a rotating helium-4 nanodroplet at zero temperature within density functional theory. Our results are compared with those for classical rotating fluid drops used to analyze the shape and…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Francesco Ancilotto , Marti Pi , Manuel Barranco

We have studied the merging of two $^4$He droplets at zero temperature, caused by their Van der Waals mutual attraction. During the early stages of the merging, density structures appear which closely match the experimental observations by…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 José María Escartín , Francesco Ancilotto , Manuel Barranco , Martí Pi

Shell-shaped hollow Bose-Einstein condensates (BECs) exhibit behavior distinct from their filled counterparts and have recently attracted attention due to their potential realization in microgravity settings. Here we study distinct features…

Quantum Gases · Physics 2020-11-03 Karmela Padavić , Kuei Sun , Courtney Lannert , Smitha Vishveshwara

Vortex lines in superconductors in an external magnetic field slightly tilted from randomly-distributed parallel columnar defects can be modeled by a system of interacting bosons in a non-Hermitian vector potential and a random scalar…

Superconductivity · Physics 2009-11-07 Kihong Kim , David R. Nelson

A dual lattice vortex formulation of homogeneous turbulence is developed, within the Martin-Siggia-Rose field theoretical approach. It consists of a generalization of the usual dipole version of the Navier-Stokes equations, known to hold in…

Statistical Mechanics · Physics 2009-11-10 L. Moriconi , F. A. S. Nobre

One of the most striking quantum effects in a low temperature interacting Bose gas is superfluidity. First observed in liquid 4He, this phenomenon has been intensively studied in a variety of systems for its amazing features such as the…

Other Condensed Matter · Physics 2009-06-16 K. G. Lagoudakis , M. Wouters , M. Richard , A. Baas , I. Carusotto , R. Andre , Le Si Dang , B. Deveaud-Pledran

Vortex lattices in rapidly rotating Bose--Einstein condensates are systems of topological excitations that arrange themselves into periodic patterns. Here we show how phase-imprinting techniques can be used to create a controllable number…

Quantum Gases · Physics 2016-11-08 Lee James O'Riordan , Thomas Busch

We investigate the vortex lattices of harmonically confined quasi-two-dimensional tilted rotational dipolar Bose-Einstein condensates. By employing an extended Gross-Pitaevskii equation for a rotating condensate, we reveal the structural…

Quantum Gases · Physics 2026-05-12 Mamta Ale , Harsimranjit Kaur , Kuldeep Suthar

We analyze the motion of quantum vortices in a two-dimensional spinless superfluid within Popov's hydrodynamic description. In the long healing length limit (where a large number of particles are inside the vortex core) the superfluid…

Quantum Gases · Physics 2015-06-19 A. Klein , O. Agam , I. Aleiner

We theoretically examine the vortex states of a gas of trapped quasi-two-dimensional ultracold bosons subject to a density-dependent gauge potential, realizing an effective nonlinear rotation of the atomic condensate, which we also show is…

Quantum Gases · Physics 2020-10-28 Matthew Edmonds , Muneto Nitta

The Gross-Pitaevskii-type equation is solved for the charge Bose liquid in the external magnetic field at zero temperature. There is a vortex lattice with locally broken charge neutrality. The boson density is modulated in real space and…

Superconductivity · Physics 2009-11-10 V. V. Kabanov , A. S. Alexandrov

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

Interactions of solitary waves in a cylindrically confined Bose-Einstein condensate are investigated by simulating their head-on collisions. Slow vortex rings and fast solitons are found to collide elastically contrary to the situation in…

Other Condensed Matter · Physics 2009-11-11 Stavros Komineas , Joachim Brand

Releasing shell-shaped Bose-Einstein condensates from their confinement produces a spherically symmetric density distribution characterized by concentric ripples surrounding a central peak. Here we investigate how a vortex-antivortex dipole…

Quantum Gases · Physics 2026-04-23 A. Tononi

Three-dimensional, Gross-Pitaevskii equation (GPE) simulations are presented of the interaction between neutron superfluid vortices and proton superconductor flux tubes in a rotating, harmonic trap, representing an idealised model of the…

High Energy Astrophysical Phenomena · Physics 2017-09-08 L. V. Drummond , A. Melatos

Quantum-degenerate Fermi gases provide a remarkable opportunity to study strongly interacting fermions. In contrast to other Fermi systems, such as superconductors, neutron stars or the quark-gluon plasma, these gases have low densities and…

Superconductivity · Physics 2007-05-23 M. W. Zwierlein , J. R. Abo-Shaeer , A. Schirotzek , C. H. Schunck , W. Ketterle

We propose a Hamiltonian model that describes the interaction between a vortex line in superfluid $^{4}$He and the gas of elementary excitations. An equation of irreversible motion for the density operator of the vortex, regarded as a…

Condensed Matter · Physics 2009-10-28 H. M. Cataldo , M. A. Despósito , E. S. Hernández , D. M. Jezek

We investigate a procedure to generate turbulence in a trapped Bose-Einstein condensate which takes advantage of the decay of multicharged vortices. We show that the resulting singly-charged vortices twist around each other, intertwined in…

Quantum Gases · Physics 2017-08-30 A. Cidrim , A. J. Allen , A. C. White , V. S. Bagnato , C. F. Barenghi

Experiments on dipolar Bose-Einstein condensates have recently reported the observation of supersolidity. Although quantized vortices constitute a key probe of superfluidity, their observability in dipolar supersolids is largely prevented…

Quantum Gases · Physics 2023-01-04 Marija Šindik , Alessio Recati , Santo Maria Roccuzzo , Luis Santos , Sandro Stringari