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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

In the context of the mean-field exciton-polariton (EP) theory with balanced loss and pump, we investigate the formation of lattice structures built of individual vortex-antivortex (VAV) bound states under the action of the two-dimensional…

Optics · Physics 2025-04-11 S. Sanjay , S. Saravana Veni , Boris A. Malomed

In the present work, we consider the problem of a system of few vortices $N \leq 5$ as it emerges from its experimental realization in the field of atomic Bose-Einstein condensates. Starting from the corresponding equations of motion, we…

Pattern Formation and Solitons · Physics 2014-12-03 A. V. Zampetaki , R. Carretero-Gonzalez , P. G. Kevrekidis , F. K. Diakonos , D. J. Frantzeskakis

We study the ground states of rotating atomic Bose-Einstein condensates with dipolar interactions. We present the results of numerical studies on a periodic geometry which show vortex lattice ground states of various symmetries: triangular…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 S. Komineas , N. R. Cooper

We study system of large number of singly quantized vortices in a rotating Bose-Einstein condensate. Analogous to the Meissner effect in superconductors, we show that the vector potential due to the external rotational field can be tuned to…

Statistical Mechanics · Physics 2007-05-23 Aranya B. Bhattacherjee

In this Letter we study the phase diagram and the approach to the equilibrium of Josephson junction arrays on a dice lattice for two different values of the magnetic frustration ($f=1/2,1/3$). In both cases the array unedrgoes a…

Superconductivity · Physics 2007-05-23 Vittorio Cataudella , Rosario Fazio

We study motion of domain wall defects in a fully frustrated Josephson-unction ladder system, driven by small applied currents. For small system sizes, the energy barrier E_B to the defect motion is computed analytically via symmetry and…

Statistical Mechanics · Physics 2009-11-11 H. Kang , Jong Soo Lim , J. -Y. Fortin , J. Choi , M. Y. Choi

Solving the Gross--Pitaevskii (GP) equation describing a Bose--Einstein condensate (BEC) immersed in an optical lattice potential can be a numerically demanding task. We present a variational technique for providing fast, accurate solutions…

A Josephson junction can be subjected to a local, strongly inhomogeneous magnetic field in various experimental situations. Here this problem is analyzed analytically and numerically. A modified sine-Gordon type equation in the presence of…

Superconductivity · Physics 2020-04-29 V. M. Krasnov

We investigate the appearance of vortices and vortex lattices in two-dimensional, anisotropic and rotating Bose-Einstein condensates. Once the anisotropy reaches a critical value, the positions of the vortex cores in the ground state are no…

Other Condensed Matter · Physics 2010-07-23 S. McEndoo , Th. Busch

The computation of the ground states of spin-$F$ Bose-Einstein condensates (BECs) can be formulated as an energy minimization problem with two quadratic constraints. We discretize the energy functional and constraints using the Fourier…

Numerical Analysis · Mathematics 2019-07-03 Tonghua Tian , Yongyong Cai , Xinming Wu , Zaiwen Wen

When magnetic flux moves across layered or granular superconductor structures, the passage of vortices can take place along channels which develop finite voltage, while the rest of the material remains in the zero-voltage state. We present…

Superconductivity · Physics 2009-10-30 Mauricio Barahona , Shinya Watanabe

Vortex is a topological defect with a quantized winding number of the phase in superfluids and superconductors. Here, we investigate the crystallized (triangular, square, honeycomb) and amorphous vortices in rotating atomic-molecular…

Quantum Gases · Physics 2015-02-03 Chao-Fei Liu , Heng Fan , Shih-Chuan Gou , Wu-Ming Liu

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

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard

We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. We find that proximity to the Mott insulating state dramatically effects the vortex structures. To illustrate…

Other Condensed Matter · Physics 2009-11-13 Daniel S. Goldbaum , Erich J. Mueller

We investigate minimal energy solutions with vortices for an interacting Bose-Einstein condensate in a rotating trap. The atoms are strongly confined along the axis of rotation z, leading to an effective 2D situation in the x-y plane. We…

Condensed Matter · Physics 2009-10-31 Y. Castin , R. Dum

We numerically simulate vortex nucleation in a Bose-Einstein Condensate (BEC) subject to an effective magnetic field. The effective magnetic field is generated from the interplay between light with a non-trivial phase structure and the BEC,…

Other Condensed Matter · Physics 2007-09-07 D. R. Murray , P Öhberg , Damiá Gomila , Stephen M. Barnett

The dynamics of a ring of vortices in two-dimensional Bose-Einstein condensates (with and without an additional vortex at the center) is studied for (1) a uniform condensate in a rigid cylinder and (2) a nonuniform trapped condensate in the…

Other Condensed Matter · Physics 2009-11-10 Jong-kwan Kim , Alexander L. Fetter

We investigate the structure of vortex states in rotating two-component Bose-Einstein condensates with equal intracomponent but varying intercomponent coupling constants. A phase diagram in the intercomponent-coupling versus…

Condensed Matter · Physics 2009-11-10 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda
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