  We discuss the possibility of realizing a non-Hermitian, i.e. an open
two-well system of ultra-cold atoms by enclosing it with additional
time-dependent wells that serve as particle reservoirs. With the appropriate
design of the additional wells PT-symmetric currents can be induced to and from
the inner wells, which support stable solutions. We show that interaction in
the mean-field limit does not destroy this property. As a first method we use a
simplified variational ansatz leading to a discrete nonlinear Schr\"odinger
equation. A more accurate and more general variational ansatz is then used to
confirm the results.
