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In a numerical experiment based on Gross-Pitaevskii formalism, we demonstrate unique topological quantum coherence in optically trapped Bose-Einstein condensates (BECs). Exploring the fact that vortices in rotating BEC can be pinned by a…

Other Condensed Matter · Physics 2008-11-06 R. Geurts , M. V. Milošević , F. M. Peeters

In order to clarify the ``superradiant'' conditions for the moving Josephson vortices to excite in-phase AC electromagnetic fields over all junctions, we perform large scale simulations of realistic dimensions for intrinsic Josephson…

Superconductivity · Physics 2009-10-31 M. Machida , T. Koyama , A. Tanaka , M. Tachiki

We give an overview on current experiments on Bose-Einstein condensation (BEC) in a one-dimensional (1D) optical lattice. We introduce measurements of ground state, tunnelling and dynamical properties as well as investigations of atom…

Condensed Matter · Physics 2015-09-11 S. Burger , F. S. Cataliotti , F. Ferlaino , C. Fort , P. Maddaloni , F. Minardi , M. Inguscio

By numerical simulation of the time-dependent Gross-Pitaevskii equation we show that a weakly interacting or noninteracting Bose-Einstein condensate (BEC) vortex can be localized in a three-dimensional bichromatic quasi-periodic…

Quantum Gases · Physics 2015-05-18 S. K. Adhikari

Linear combinations of Bessel beams can be used to effectively trap light within cylindrical domains. Such hard traps can be used to produce states that exhibit stationary arrays of optical vortices from the perspective of a steadily…

Optics · Physics 2023-08-17 Mark T. Lusk , Andrew A. Voitiv , Mark E. Siemens

Many superconducting materials are composed of weakly coupled conducting layers. Such a layered structure has a very strong influence on the properties of vortex matter in a magnetic field. This review focuses on the properties of the…

Superconductivity · Physics 2013-09-04 Alexei E. Koshelev , Matthew J. W. Dodgson

Bosons with density-dependent hopping on a one dimensional lattice have been shown to emulate anyonic particles with fractional exchange statistics. Leveraging this, we construct a Josephson junction setup, where an insulating barrier in…

Quantum Physics · Physics 2025-07-29 Jessica John Britto

A system of two parallel Josephson junction arrays coupled by interlayer capacitances is considered in the situation where one layer is in the vortex-dominated and the other in the charge-dominated regime. This system shows a symmetry…

Condensed Matter · Physics 2009-10-28 Yaroslav M. Blanter , Gerd Schoen

We propose a Josephson junction array which can be tuned into an unconventional insulating state by varying external magnetic field. This insulating state retains a gap to half vortices; as a consequence, such array with non-trivial global…

Strongly Correlated Electrons · Physics 2009-11-07 B. Douçot , M. V. Feigel'man , L. B. Ioffe

We analytically study stability of sliding lattice of Josephson vortices driven by a transport current in the stack direction in strong in-plane magnetic field. In contrast to recent findings we obtain that there are no diverse…

Superconductivity · Physics 2009-11-07 S. N. Artemenko , S. V. Remizov

Motivated by experiments in atomic Bose-Einstein condensates (BECs), we compare predictions of a system of ordinary differential equations (ODE) for dynamics of one and two individual vortices in the rotating BECs with those of the partial…

Pattern Formation and Solitons · Physics 2018-02-07 P. G. Kevrekidis , D. E. Pelinovsky

A vortex solid with self-generated randomness is found theoretically in a frustrated Josephson junction array (JJA) under external magnetic field with anisotropic couplings. Vorticies induced by external magnetic field develop stripes…

Statistical Mechanics · Physics 2015-05-18 Hajime Yoshino , Tomoaki Nogawa , Bongsoo Kim

We report theoretical and experimental work on the development of a Josephson vortex qubit based on a confocal annular Josephson tunnel junction (CAJTJ). The key ingredient of this geometrical configuration is a periodically variable width…

Superconductivity · Physics 2017-12-27 Roberto Monaco , Jesper Mygind , Valery P. Koshelets

We investigate experimentally a deterministic underdamped Josephson vortex ratchet -- a fluxon-particle moving along a Josephson junction in an asymmetric periodic potential. By applying a sinusoidal driving current one can compel the…

Superconductivity · Physics 2012-01-31 M. Knufinke , K. Ilin , M. Siegel , D. Koelle , R. Kleiner , E. Goldobin

We investigate the ground state of the irrationally frustrated Josephson junction array with controlling anisotropy parameter \lambda\ that is the ratio of the longitudinal Josephson coupling to the transverse one. We find that the ground…

Statistical Mechanics · Physics 2012-05-29 Tomoaki Nogawa , Hajime Yoshino , Bongsoo Kim

We present an approximate analytical theory and direct numerical computation of defect modes of a Bose-Einstein condensate loaded in an optical lattice and subject to an additional localized (defect) potential. Some of the modes are found…

Other Condensed Matter · Physics 2016-08-16 V. A. Brazhnyi , V. V. Konotop , Víctor M. Pérez-García

Recently, we presented a new numerical scheme for vortex lattice formation in a rotating Bose-Einstein condensate (BEC) using smoothed particle hydrodynamics (SPH) with an explicit time-integrating scheme; our SPH scheme could reproduce the…

Computational Physics · Physics 2024-09-04 Satori Tsuzuki , Eri Itoh , Katsuhiro Nishinari

We have investigated the dynamics of vortices in a dilute two dimensional Josephson junction array where a fraction of the superconducting islands is missing. We have used the multiple trapping model to calculate the mobility of vortices…

Superconductivity · Physics 2007-05-23 Md. Ashrafuzzaman , Hans Beck

We consider the ground state of vortices in a Bose-Einstein condensate. We show that turning on a weak optical periodic potential leads to a transition from the triangular Abrikosov vortex lattice to phases where the vortices are pinned by…

Statistical Mechanics · Physics 2007-05-23 J. W. Reijnders , R. A. Duine

We consider the Lawrence-Doniach model for layered superconductors, in which stacks of parallel superconducting planes are coupled via the Josephson effect. We assume that the superconductor is placed in an external magnetic field oriented…

Analysis of PDEs · Mathematics 2007-05-23 S. Alama , A. J. Berlinsky , L. Bronsard