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We investigate the stability of a rectangular Josephson vortex lattice in a stack of two long Josephson junctions. It is shown that in an infinite stack at low velocities the lattice is unstable with respect to triangular vortex lattice…

Superconductivity · Physics 2007-05-23 A. V. Chiguinev , V. V. Kurin

The dynamics of thermally excited vortices in a dilute two-dimensional Josephson junction array where a fraction of the superconducting islands is missing has been investigated using a multiple trapping model. An expression for the…

Statistical Mechanics · Physics 2007-05-23 Md. Ashrafuzzaman , Massimiliano Capezzali , Hans Beck

We propose a method for taking a Bose-Einstein condensate in the ground trap state simultaneously to a different atomic hyperfine state and to a vortex trap state. This can be accomplished through a Raman scheme in which one of the two…

Condensed Matter · Physics 2009-10-30 Eric L. Bolda , Dan F. Walls

We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, presents a set of ground states which is orbitally…

Analysis of PDEs · Mathematics 2015-05-28 Rolci Cipolatti , Juan López Gondar , Carlos Trallero-Giner

We report on the efficient design of quantum optimal control protocols to manipulate the motional states of an atomic Bose-Einstein condensate (BEC) in a one-dimensional optical lattice. Our protocols operate on the momentum comb associated…

Quantum Gases · Physics 2021-10-13 N. Dupont , G. Chatelain , L. Gabardos , M. Arnal , J. Billy , B. Peaudecerf , D. Sugny , D. Guéry-Odelin

The lattice effects on the current-voltage characteristics of two-dimensional arrays of resistively shunted Josephson junctions are investigated. The lattice potential energies due to the discrete lattice structure are calculated for…

Superconductivity · Physics 2007-05-23 Mina Yoon , M. Y. Choi , Beom Jun Kim

Emergent lattices at mesoscopic length scales have evoked interest in several recent contexts, e.g., in crystalline arrangements of skyrmions. It is a challenging task to determine their collective excitations as the unit cells are large…

Superconductivity · Physics 2020-12-04 Bhargava B. A. , R. Ganesh

We present a simple mechanism to produce vortices at any desired spatial locations in harmonically trapped Bose-Einstein condensates (BEC) with multicomponent spin states coupled to external transverse and axial magnetic fields. The…

We consider matter-wave bright solitons in helicoidal spin-orbit coupled Bose-Einstein condensates in optical lattices with a view to study Josephson-type oscillation and self-trapping of population imbalance between two pseudo-spin states.…

Quantum Gases · Physics 2025-07-11 Sumaita Sultana , Golam Ali Sekh

Motivated by recent experiments, we analyse the stability of a three-dimensional Bose-Einstein condensate (BEC) loaded in a periodically driven one-dimensional optical lattice. Such periodically driven systems do not have a thermodynamic…

Quantum Gases · Physics 2015-06-23 Sayan Choudhury , Erich J. Mueller

In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

Josephson vortices in naturally stacked Bi-2212 tunneling junctions display rich dynamic behavior that derives from the coexistence of three basic states: static Josephson vortex lattice, coherently moving lattice, and incoherent…

Superconductivity · Physics 2015-05-14 Yong-Duk Jin , Hu-Jong Lee , A. E. Koshelev , Gil-Ho Lee , Myung-Ho Bae

We propose a phase diagram for the vortex structure of high temperature superconductors which incorporates the effects of anisotropy and disorder. It is based on numerical simulations using the three-dimensional Josephson junction array…

Condensed Matter · Physics 2009-10-28 E. A. Jagla , C. A. Balseiro

The control over the geometry and topology of quantum systems is crucial for advancing novel quantum technologies. This work provides a synthesis of recent insights into the behaviour of quantum vortices within atomic Bose-Einstein…

Quantum Gases · Physics 2024-08-20 A. Tononi , L. Salasnich , A. Yakimenko

It is identified numerically that the resistivity of a fully-frustrated Josephson-junction array is due to motion of domain walls in vortex lattice rather than to motion of single vortices.

Superconductivity · Physics 2016-08-31 M. V. Simkin

We consider a Bose-Einstein condensate of ultracold atoms loaded into a square optical lattice and subject to a static force. For vanishing atom-atom interactions the atoms perform periodic Bloch oscillations for arbitrary direction of the…

Superconductivity · Physics 2009-11-13 M. -C. Chung , A. R. Kolovsky

Bose-Einstein condensates loaded in one-dimensional bichromatic optical lattices with constituent sublattices having incommensurate periods is considered. Using the rational approximations for the incommensurate periods, we show that below…

Quantum Gases · Physics 2022-08-23 Henrique C. Prates , Dmitry A. Zezyulin , Vladimir V. Konotop

Rotational analogs to magnetic fluxons in conventional Josephson junctions are predicted to emerge in the ground state of rotating tunnel-coupled annular Bose-Einstein condensates (BECs). Such topological condensate-phase structures can be…

Other Condensed Matter · Physics 2009-07-23 J. Brand , T. J. Haigh , U. Zülicke

We introduce a variation of the Bose-Einstein condensate(BEC)-Skyrme model, with an altered potential for miscible BECs that gives rise to two physical vortex strings. In the ground state of each topological sector, the vortices are linked…

High Energy Physics - Theory · Physics 2020-09-09 Sven Bjarke Gudnason , Muneto Nitta

Josephson plasma excitations in the high $T_c$ superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ have been investigated in a wide microwave frequency region (9.8 -- 75 GHz), in particular, in magnetic field applied parallel to the $ab$…

Superconductivity · Physics 2007-05-23 I. Kakeya , T. Wada , R. Nakamura , K. Kadowaki