  Few-level systems coupled to thermal baths provide useful models for quantum
thermodynamics and the role of heat currents in quantum information settings.
Useful operations such as cooling or thermal masers have been proposed in
autonomous three-level systems. In this work, we propose the coherent coupling
of two qutrits as a simultaneous refrigerator and heat pump of two reservoirs
forming a system. This occurs thanks to the coupling to two other reservoirs
which are out of equilibrium but do not inject heat in the system. We explore
the thermodynamic performance of such operation and discuss whether it can be
distinguished from the action of a Maxwell demon via measurements of current
fluctuations limited to the working substance.
