Phase-slips and vortex dynamics in Josephson oscillations between Bose-Einstein condensates

Abstract

We study the relation between Josephson dynamics and topological excitations in a dilute Bose-Einstein condensate confined in a double-well trap. We show that the phase slips responsible for the self-trapping regime are created by vortex rings entering and annihilating inside the weak-link region or created at the center of the barrier and expanding outside the system. Large amplitude oscillations just before the onset of self-trapping are also strictly connected with the dynamics of vortex rings at the edges of the inter-well barrier. Our results extend and analyze the dynamics of the vortex-induced phase slippages suggested a few decades ago in relation to the "ac" Josephson effect of superconducting and superfluid helium systems.

6 pages, 5 figures

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• Coherent Quantum Phase Slip in two-component bosonic Atomtronic Circuits
• Dynamical Phase Diagram of Ultracold Josephson Junctions
• Making ghost vortices visible in two-component Bose-Einstein condensates
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• Dynamical phase diagram of a one dimensional Bose gas in a box with a tunable weak-link: from Bose-Josephson oscillations to shock waves
• Bose-Einstein condensates in rotating ring-shaped lattices: a multimode model
• Phonon-Josephson resonances in atomtronic circuits
• Dissipation in a Finite Temperature Atomic Josephson Junction
• Vortex nucleation processes in rotating lattices of Bose-Einstein condensates ruled by the on-site phases
• Phase diffusion and fluctuations in a dissipative Bose-Josephson junction
• Coherent and dissipative transport in a Josephson junction between fermionic superfluids of ${}^6$Li atoms
• Modeled vortex dynamics on a Bose-Einstein condensate in a rotating lattice
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• Dynamical control of particle jets from a driven condensate in a one-dimensional lattice with double-well potential