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We analyze a notable class of states relevant to an immiscible bosonic binary mixture loaded in a rotating box-like circular trap, i.e. states where vortices in one species host the atoms of the other species, which thus play the role of…

Quantum Gases · Physics 2020-01-27 Andrea Richaud , Vittorio Penna , Ricardo Mayol , Montserrat Guilleumas

Two-dimensional (2D) vector matter waves in the form of soliton-vortex and vortex-vortex pairs are investigated for the case of attractive intracomponent interaction in two-component Bose-Einstein condensates. Both attractive and repulsive…

Pattern Formation and Solitons · Physics 2015-05-13 A. I. Yakimenko , Yu. A. Zaliznyak , V. M. Lashkin

Within the framework of the generalized time-dependent Ginzburg-Landau equations, we studied the influence of the magnetic self-field induced by the currents inside a superconducting sample driven by an applied transport current. The…

Superconductivity · Physics 2020-06-03 Leonardo Rodrigues Cadorim , Alexssandre de Oliveira Junior , Edson Sardella

The motion of noncircular two-dimensional vortices is shown to depend on a form of coupling between vortex ellipticity and the gradient of fluid density. The approach is based on the perspective that an elliptic vortex can be described as…

Fluid Dynamics · Physics 2021-09-29 Jasmine M. Andersen , Andrew A. Voitiv , Mark E. Siemens , Mark T. Lusk

We consider two types of the time-dependent Ginzburg-Landau equation in 2D bounded domains: the heat-flow equation and the Schroedinger equation. The system of ordinary differential equations is obtained that describes the evolution of the…

Mathematical Physics · Physics 2007-05-23 T. Zuyeva

Vortex lattices are constructed in terms of linear combinations of solutions for Scr\"{o}dinger equation with a constant potential. The vortex lattices are mapped on the spaces with two-dimensional rotationally symmetric potentials by using…

Superconductivity · Physics 2016-08-31 Tsunehiro Kobayashi

Quantum vortices, the quantized version of classical vortices, play a prominent role in superfluid and superconductor phase transitions. However, their exploration at a particle level in open quantum systems has gained considerable…

The dynamics of a two-dimensional vortex are analyzed within the framework of the nonlinear Schrodinger equation. Both a bare vortex and a vortex with an external mass trapped in a finite-sized core are considered. The bare vortex motion is…

Condensed Matter · Physics 2009-11-07 Michael J. Quist

The vortex core structure in a d-wave superconductor is analyzed on the basis of the quasi-classical Eilenberger theory beyond the Ginzburg-Landau framework. The current and magnetic field distributions around an isolated vortex break…

Condensed Matter · Physics 2009-10-28 M. Ichioka , N. Hayashi , N. Enomoto , K. Machida

We experimentally characterize the transverse vortex motion and observed some striking features. We found large structures and peaks in the Hall resistance, which can be attributed to the long-range inhomogeneous vortex flow present in some…

Superconductivity · Physics 2009-11-11 J. Lefebvre , M. Hilke , R. Gagnon , Z. Altounian

We study the conservative dynamics and stationary configurations of a vortex-antivortex pair in a harmonically trapped two-dimensional Bose-Einstein condensate. We establish the conceptual framework for understanding the stationary states…

Other Condensed Matter · Physics 2009-06-10 Weibin Li , Masudul Haque , Stavros Komineas

The dynamics of quantum vortex pairs carrying heavy doping matter trapped inside their cores is studied. The nonlinear classical matter field formalism is used to build a universal mathematical model of a heavy vortex applicable to…

Quantum Gases · Physics 2018-02-14 I. A. Pshenichnyuk

Counter-rotating vortices in miscible two-component Bose-Einstein condensates, in which superflows counter-rotate between the two components around the overlapped vortex cores, are studied theoretically in a pancake-shaped potential. In a…

Quantum Gases · Physics 2013-12-16 Shungo Ishino , Makoto Tsubota , Hiromitsu Takeuchi

The nature of vortex flows in the nonequilibrium region arising in the vicinity of phase-slip lines at the S-N boundary are investigated experimentally. It is shown that vortices continue to move when charge imbalance appears in a film that…

Superconductivity · Physics 2025-02-12 A. G. Sivakov , V. G. Volotskaya

We investigate the dynamics of quantized vortices in a model two-dimensional supersolid. Starting from an effective action that captures the dynamics of the superfluid condensate and its coupling to the lattice displacements, we integrate…

Quantum Gases · Physics 2024-09-10 Chi-Deuk Yoo , Alan T. Dorsey

The Ginzburg Landau theory for d_{x^2-y^2}-wave superconductors is constructed, by starting from the Gor'kov equation with including correction terms up to the next order of ln(T_c/T). Some of the non-local correction terms are found to…

supr-con · Physics 2009-10-30 Naoki Enomoto , Masanori Ichioka , Kazushige Machida

The dynamics of vortex ring pairs in the homogeneous nonlinear Schr\"odinger equation is studied. The generation of numerically-exact solutions of traveling vortex rings is described and their translational velocity compared to revised…

Other Condensed Matter · Physics 2014-12-03 R. M. Caplan , J. D. Talley , R. Carretero-Gonzalez , P. G. Kevrekidis

Vortex ring solutions are presented for the Landau-Lifshitz equation, which models the dynamics of a three-dimensional ferromagnet. The vortex rings propagate at constant speed along their symmetry axis and are characterized by the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Paul Sutcliffe

Vortex dynamics in a bilayer thin film superconductor are studied through a Josephson-coupled double layer XY model. A renormalization group analysis shows that there are three possible states associated with the relative phase of the…

Superconductivity · Physics 2009-11-11 Wei Zhang , H. A. Fertig

The dynamics of vortices in a 2D Heisenberg antiferromagnet with an easy-plane anisotropy is studied numerically within the discrete spin model as well as analytically within a continuum approximation based on a suitable extension of the…

Strongly Correlated Electrons · Physics 2009-10-28 S. Komineas , N. Papanicolaou