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We compute structures of vortex configurations in a harmonically trapped Bose-Einstein condensed atom gas within three different gapless self-consistent mean-field theories. Outside the vortex core region, the density profiles for the…

Soft Condensed Matter · Physics 2009-11-07 S. M. M. Virtanen , T. P. Simula , M. M. Salomaa

The dynamics of a filled massive vortex is studied numerically and analytically using a two-dimensional model of a two-component Bose--Einstein condensate trapped in a harmonic trap. This condensate exhibits phase separation. In the…

Quantum Gases · Physics 2022-06-29 Victor P. Ruban

We develop a three-dimensional analysis of the phase separation of two-species Bose-Einstein condensates in the presence of vorticity within the Thomas-Fermi approximation. We find different segregation features according to whether the…

Soft Condensed Matter · Physics 2009-11-07 D. M. Jezek , P. Capuzzi , H. M. Cataldo

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 apply the Halperin-Mazenco formalism within the Gross-Pitaevskii theory to characterise the kinematics and nucleation of quantum vortices in a two-dimensional stirred Bose Einstein condensate. We introduce a smooth defect density field…

Quantum Gases · Physics 2022-10-27 Jonas Rønning , Luiza Angheluta

The dynamics of interacting quantized vortex filaments in a rotating trapped Bose-Einstein condensate, which is in the Thomas-Fermi regime at zero temperature and described by the Gross-Pitaevskii equation, is considered in the hydrodynamic…

Quantum Gases · Physics 2017-08-17 V. P. Ruban

In superconductors where the coherence length is comparable to the Fermi wavelength, the vortex viscosity depends on the velocity of the vortex, leading to non linear equations of motion. The trajectories of vortices driven by a. c. fields…

Condensed Matter · Physics 2009-10-28 F. Guinea , Yu. Pogorelov

Linear defects are generic in continuous media. In quantum systems they appear as topological line defects which are associated with a circulating persistent current. In relativistic quantum vacuum they are known as cosmic strings, in…

Condensed Matter · Physics 2007-05-23 G. E. Volovik

To investigate the dynamics of driven vortices in superconductors, noise in the local vortex density was investigated in the mixed state of a high-$T_c$ superconductor, Bi$_2$Sr$_2$CaCu$_2$O$_y$, using a two-dimensional electron gas (2DEG)…

Superconductivity · Physics 2009-11-07 A. Maeda , T. Tsuboi , R. Abiru , Y. Togawa , H. Kitano , K. Iwaya , T. Hanaguri

We study the properties of singly-quantized linear vortices in the supersolid phase of a dipolar Bose-Einstein condensate at zero temperature modeling $^{164}$Dy atoms. The system is extended in the $x-y$ plane and confined by a harmonic…

Quantum Gases · Physics 2021-03-24 Francesco Ancilotto , Manuel Barranco , Marti Pi , Luciano Reatto

We study the fast rotation limit for a Bose-Einstein condensate in a quadratic plus quartic confining potential within the framework of the two dimensional Gross-Pitaevskii energy functional. As the rotation speed tends to infinity with a…

Mathematical Physics · Physics 2009-12-01 Nicolas Rougerie

A quantitative vortex-fluid model for flux-flow resistivity $\rho$ and Nernst signal $e_N$ in high-temperature superconductors (HTSC) is proposed. Two kinds of vortices, magnetic and thermal, are considered, and the damping viscosity $\eta$…

Superconductivity · Physics 2017-12-06 Rong Li , Zhen-Su She

We complete our study of the three dimensional Ginzburg--Landau functional with magnetic field, in the asymptotic regime of a small inverse Ginzburg--Landau parameter $\varepsilon$, and near the first critical field $H_{c_1}$ for which the…

Analysis of PDEs · Mathematics 2025-10-20 Carlos Román , Etienne Sandier , Sylvia Serfaty

We consider analytically the dynamics of an arbitrary number and configuration of vortices in an annular Bose-Einstein condensate obtaining expressions for the free energy and vortex precession rates to logarithmic accuracy. We also obtain…

Quantum Gases · Physics 2016-06-22 L. A. Toikka , K. -A. Suominen

Motivated by recent experiments on magnetically frustrated heavy fermion metals, we theoretically study the phase diagram of the Kondo lattice model with a nonmagnetic valence bond solid ground state on a ladder. A similar physical setting…

Strongly Correlated Electrons · Physics 2020-08-25 Pavel A. Volkov , Snir Gazit , J. H. Pixley

We consider quantized vortices in two-component Bose-Einstein condensates and three-component Fermi gases with attractive interactions. In these systems, the vortex core can be either empty (normal in the fermion case) or filled with…

Quantum Gases · Physics 2010-04-01 G. Catelani , E. A. Yuzbashyan

We compute the structure of a quantized vortex line in a harmonically trapped dilute atomic Bose-Einstein condensate using the Popov version of the Hartree-Fock-Bogoliubov mean-field theory. The vortex is shown to be (meta)stable in a…

Soft Condensed Matter · Physics 2009-11-07 S. M. M. Virtanen , T. P. Simula , M. M. Salomaa

We study the dynamics of vortex lines in Supercondutor/Ferromagnet/Superconductor (SFS) heterostructures at microwave frequencies. We have employed swept-frequency, Corbino-disk and resonant, dielectric-resonator techniques to obtain the…

Superconductivity · Physics 2015-06-03 K. Torokhtii , C. Attanasio , C. Cirillo , E. A. Ilyina , N. Pompeo , S. Sarti , E. Silva

Based on the vortex dynamics with the Magnus force and a two-fluid model we have derived a set of explicit expressions between the Nernst and Seebeck coefficients, and the Hall and longitudinal resistivities in the linear response regime of…

Condensed Matter · Physics 2008-02-03 P. Ao

The superfluid drag-coefficient of a weakly interacting three-component Bose-Einstein condensate is computed deep into the superfluid phase, starting from a Bose-Hubbard model with component-conserving, on-site interactions and…

Quantum Gases · Physics 2018-08-17 Stian Hartman , Eirik Erlandsen , Asle Sudbø
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