  We have implemented the Centroid Molecular Dynamics scheme (CMD) into the
Grand Canonical-like version of the Adaptive Resolution Simulation Molecular
Dynamics (GC-AdResS) method. We have tested the implementation on two different
systems, liquid parahydrogen at extreme thermodynamic conditions and liquid
water at ambient conditions; the reproduction of structural as well as
dynamical results of reference systems are highly satisfactory. The capability
of performing GC-AdResS CMD simulations allows for the treatment of a system
characterized by some quantum features and open boundaries. This latter
characteristic not only is of computational convenience, allowing for
equivalent results of much larger and computationally more expensive systems,
but also suggests a tool of analysis so far not explored, that is the
unambiguous identification of the essential (quantum) degrees of freedom
required for a given property.
