We investigate the problem of vortex trapping in cyclically coupled Bose-Josephson junctions. Starting with $N$ independent Bose-Einstein condensates 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 concerns the probability of trapping 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. Specifically, the final width of the distribution of winding numbers for $N$ sites scales as $\ensuremath{\lambda}{N}^{\ensuremath{\alpha}}$, where $\ensuremath{\alpha}=0.47\ifmmode\pm\else\textpm\fi{}0.01$ and $\ensuremath{\lambda}<0.67$ (the value predicted for the initial distribution). The actual value of $\ensuremath{\lambda}$ is found to depend on the strength of dissipation. The nonlinearity of the problem also manifests itself in the result that it is possible to obtain a nonzero circulation starting with zero total phase around the loop.We investigate the problem of vortex trapping in cyclically coupled Bose-Josephson junctions. Starting with $N$ independent Bose-Einstein condensates 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 concerns the probability of trapping 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. Specifically, the final width of the distribution of winding numbers for $N$ sites scales as $\ensuremath{\lambda}{N}^{\ensuremath{\alpha}}$, where $\ensuremath{\alpha}=0.47\ifmmode\pm\else\textpm\fi{}0.01$ and $\ensuremath{\lambda}<0.67$ (the value predicted for the initial distribution). The actual value of $\ensuremath{\lambda}$ is found to depend on the strength of dissipation. The nonlinearity of the problem also manifests itself in the result that it is possible to obtain a nonzero circulation starting with zero total phase around the loop.

arXiv:0704.2431Physical Review AMar 10, 200810 citations

Vortex Stability in a Trapped Bose Condensate

Alexander L. Fetter

arXiv:cond-mat/9808070Journal of Low Temperature PhysicsNov 1, 199858 citations

Ultra-Cold Atoms on Optical Lattices

Parag Ghosh

In the second half of the dissertation, 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. Specifically, the final width of the distribution of winding numbers for N sites scales as lambdaNalpha, where alpha = 0.47 +/- 0.01 and lambda < 0.67 (value predicted for the initial distribution). The actual value of lambda is found to depend on the strength of dissipation. The nonlinearity of the problem also manifests itself in the result that it is possible to obtain a non-zero circulation starting with zero total phase around the loop.In the second half of the dissertation, 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. Specifically, the final width of the distribution of winding numbers for N sites scales as lambdaNalpha, where alpha = 0.47 +/- 0.01 and lambda < 0.67 (value predicted for the initial distribution). The actual value of lambda is found to depend on the strength of dissipation. The nonlinearity of the problem also manifests itself in the result that it is possible to obtain a non-zero circulation starting with zero total phase around the loop.

ProQuest LLC eBooksJan 1, 20090 citations

Vortex Dynamics in Trapped Bose-Einstein Condensate

Enikő J. M. Madarassy, Carlo F. Barenghi

arXiv:0806.2077Journal of Low Temperature PhysicsMay 13, 200828 citations

The birth and death of vortex lattices in trapped Bose-Einstein condensates

Leslie O. Baksmaty

Jan 1, 20050 citations

We investigate the problem of vortex trapping in cyclically coupled Bose-Josephson junctions. Starting with

N

independent Bose-Einstein condensates 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 concerns the probability of trapping 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. Specifically, the final width of the distribution of winding numbers for

N

sites scales as $\ensuremath{\lambda}{N}^{\ensuremath{\alpha}}$, where $\ensuremath{\alpha}=0.47\ifmmode\pm\else\textpm\fi{}0.01$ and $\ensuremath{\lambda}<0.67$ (the value predicted for the initial distribution). The actual value of $\ensuremath{\lambda}$ is found to depend on the strength of dissipation. The nonlinearity of the problem also manifests itself in the result that it is possible to obtain a nonzero circulation starting with zero total phase around the loop.