Vortex trapping in suddenly connected Bose-Josephson junctions

Abstract

We investigate the problem of vortex trapping in cyclically coupled Bose-Josephson junctions. Starting with $N$ independent BECs we couple the condensates through Josephson links and allow the system to reach a stable circulation by adding a dissipative term in our semiclassical equations of motion. The central question we address is what is the probability to trap a vortex with winding number $m$. Our numerical simulations reveal that the final distribution of winding numbers is narrower than the initial distribution of total phases, indicating an increased probability for no-vortex configurations. Further, the nonlinearity of the problem manifests itself in the somewhat counter-intuitive result that it is possible to obtain a non-zero circulation starting with zero total phase around the loop. The final width of the distribution of winding numbers for $N$ sites scales as $\lambda N^{\alpha }$, where $\alpha =0.47\pm 0.01$ and $\lambda <0.67$ (value predicted for the initial distribution) indicating a shrinking of the final distribution. The actual value of $\lambda$ is found to depend on the strength of dissipation.

4 pages, 5 figures

References in corpus (4)

• Vortex Formation by Interference of Multiple Trapped Bose-Einstein Condensates
• Vortex proliferation in the Berezinskii-Kosterlitz-Thouless regime on a two-dimensional lattice of Bose-Einstein condensates
• New Experiments for Spontaneous Vortex Formation in Josephson Tunnel Junctions
• Topological Defects from First Order Gauge Theory Phase Transitions

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• A ring of BEC pools as a trap for persistent flow
• Characterization of the spontaneous symmetry breaking due to quenching of a one-dimensional superconducting loop
• Stability and stabilization of unstable condensates