  Recent experimental progress have revealed Meissner and Vortex phases in
low-dimensional ultracold atoms systems. Atomtronic setups can realize ring
ladders, while explicitly taking the finite size of the system into account.
This enables the engineering of quantized chiral currents and phase slips
in-between them. We find that the mesoscopic scale modifies the current. Full
control of the lattice configuration reveals a reentrant behavior of Vortex and
Meissner phases. Our approach allows a feasible diagnostic of the currents'
configuration through time of flight measurements.
