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Transverse Josephson vortices and localized states in stacked Bose-Einstein condensates

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The stacks of Bose-Einstein condensates coupled by long Josephson junctions present a richphenomenology feasible to experimental realization and specially suitable for technologicalapplications as the nonlinear-optics and superconducting analogs have already proved. Among this,we show that transverse Bloch waves excited in arrays of one-dimensional coupled condensates cancarry tunneling superflows whose dynamical stability depends on the quasimomentum. Across thestacks with periodic boundary conditions, forming closed ring-shaped systems, such Bloch states yieldtransverse Josephson vortices with a generic non-integer circulation in units ofh/m. Additionally, thesuperpositions of degenerate linear Bloch waves can suppress the supercurrents and give rise tofamilies of nonlinear standing-wave states with strong(transverse)spatial localization. Stable states ofthis type can also be found infinite size systems.

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GIL GRANADOS, Juan antonio, MUÑOZ MATEO, Antonio, GUILLEUMAS, Montserrat, VIÑAS GAUSÍ, Xavier. Transverse Josephson vortices and localized states in stacked Bose-Einstein condensates. _New Journal of Physics_. 2019. Vol. 21, núm. 043036. [consulta: 24 de gener de 2026]. ISSN: 1367-2630. [Disponible a: https://hdl.handle.net/2445/132334]

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