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

Abstract

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

arXiv comment14 pages, 8 figures

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Cited by in corpus (6)

• Vortices with massive cores in a binary mixture of Bose-Einstein condensates
• Nonlinear dynamics of Josephson vortices in merging superfluid rings
• Long Josephson junctions with exciton-polariton condensates
• Tunneling vortex dynamics in linearly coupled Bose-Hubbard rings
• Collective excitations and tunneling dynamics in long bosonic Josephson junctions
• Unlocked-relative-phase states in arrays of Bose-Einstein condensates