Adaptive quantum mechanical (QM) / molecular mechanical (MM) methods enable efficient molecular simulations of chemistry in solution by describing reactive subregions with an accurate many-body potential energy expression (QM) while the rest of the system is described in a more approximate manner (MM). As solvent molecules diffuse in and out of the reactive region, they are gradually included into (and excluded from) the many-body QM potential. It would be desirable to model such system 1 using an adaptive Hamiltonian, but so far it has resulted in distorted structures at the boundary between the two regions. Here, we propose a Hamiltonian scheme to describe adaptively solvent diffusion across a multi-scale boundary separating configurational potentials that cannot be expressed by a multi-body expansion. The adaptive expressions are entirely general, and complimentary to all standard (non-adaptive) QM/MM embedding schemes available. We demonstrate the validity of our approach on a system described by two different MM potentials (MM/MM'), in which long-range interactions are treated by many-body Ewald summation. Our Hamiltonian approach provides both energy conservation and the correct solvent structure everywhere in the system, thus enabling microcanonical adaptive QM/MM simulations that can be used to obtain vibrational spectra and dynamical properties.