Multidimensional Josephson vortices in spin-orbit coupled Bose-Einstein condensates: snake instability and decay through vortex dipoles

Abstract

We analyze the dynamics of Josephson vortex states in two-component Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling by using the Gross-Pitaevskii equation. In 1D, both in homogeneous and harmonically trapped systems, we report on stationary states containing doubly charged, static Josephson vortices. In multidimensional systems, we find stable Josephson vortices in a regime of parameters typical of current experiments with ${}^{87}$Rb atoms. In addition, we discuss the instability regime of Josephson vortices in disk-shaped condensates, where the snake instability operates and vortex dipoles emerge. We study the rich dynamics that they exhibit in different regimes of the spin-orbit coupled condensate depending on the orientation of the Josephson vortices.

11 pages. 12 figures

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• Experimental observation of turbulent coherent structures in a superfluid of light
• Decay of the relative phase domain wall into confined vortex pairs: the case of a coherently coupled bosonic mixture
• Moving obstacle potential in a spin-orbit-coupled Bose-Einstein condensate
• Generation of Josephson vortices in stacked toroidal Bose-Einstein condensates
• Nonlinear dynamics of Josephson vortices in merging superfluid rings
• Nonlinear standing waves in an array of coherently coupled Bose-Einstein condensates
• Harmonically trapped attractive and repulsive spin-orbit and Rabi coupled Bose-Einstein condensates
• Matterwaves, Matterons, and the Atomtronic Transistor Oscillator
• Transverse Josephson vortices and localized states in stacked Bose-Einstein condensates
• Dispersion relations and self-localization of quasiparticles in coupled elongated Bose-Einstein condensates
• Josephson vortices and persistent current in a double-ring supersolid system
• Effect of spin-orbit coupling on tunnelling escape of Bose-Einstein condensate
• Unlocked-relative-phase states in arrays of Bose-Einstein condensates
• Phase domain walls in coherently driven Bose-Einstein condensates