Figure 3

Transport process \(\pmb{|1\rangle \to -|3\rangle}\) in the 3L approximation. (a) Fidelity as a function of the total time and the total magnetic phase traversing the system. The green contour line is defined by \(P_{3}=99\%\). (b) Probabilities of population in each of the traps for \(T/\tau =48\) (indicated by a dashed white line in (a)) as a function of the total magnetic phase traversing the system. The dashed black line indicates the optimal value of the phase \(\Phi =\pi /2\).