Figure 1

The layout of our system with the coupling constants displayed.Reuse & Permissions

Figure 2

(Color online) The lines $A$, $B$, $C$ and $D$ are the plots of population versus time in the linear regime for the first, second, third, and fourth well, respectively. In (a) the mass surplus increases during the resonant driving from time $t=0$ to $t=\tau$, where $\tau =4∕{\omega }_R$. For $t>\tau$ there is a dissipationless flow around the loop. In (b) the modulation is not interrupted and the amplitude beats are visible. In these simulations $N_T={10}^5$ and $\Lambda =500$.Reuse & Permissions

Figure 3

(Color online) (a) Populations versus time plot for a system with a phase difference of $2\pi$ around the loop. For $t<0.5∕{\omega }_R$ there is a steady flux and the populations stay constant, for $t>0.5∕{\omega }_R$ the link between two wells is cut and by inertia the condensate tends to flow toward the last well before the cut, finally for $t>2∕{\omega }_R$ the inertial effect is exhausted and the condensate starts to flow back. The lines $A$, $B$, $C$ and $D$ are relatives to the first, second, third, and fourth well, respectively. (b) System with a persistent current in presence of a coupling constant different from the others. The population of one well is plotted for several values of this coupling constant $(K_A=\tilde{K},K_B=1.2\tilde{K},K_C=1.4\tilde{K},K_D=1.6\tilde{K})$. In these simulations $N_T={10}^5$ and $\Lambda =100$.Reuse & Permissions

Figure 4

(Color online) Populations versus time plot of (a) the self-confinement and (b) self-depletion regimes for $\Lambda =100$ and $N_T={10}^5$. Due to the symmetry of our system two populations have the same value and so only three lines are visible.Reuse & Permissions

Figure 5

(Color online) The condensate is moved around the loop by making the different wells to switch between the normal and the self-confined regime. The lines $A$, $B$, $C$, and $D$ are the populations, respectively, of the first, the second, the third, and the fourth well. After two full turns the modulation is stopped and the spin ceases. In this simulation $N_T={10}^5$ and $\Lambda =100$.Reuse & Permissions