  We propose the implementation of a quantum heat pump with ultracold atoms. It
is based on two periodically driven coherently coupled quantum dots using
ultracold atoms. Each dot possesses two relevant quantum states and is coupled
to a fermionic reservoir. The working principle is based on energy-selective
driving-induced resonant tunneling processes, where a particle that tunnels
from one dot to the other either absorbs or emits the energy quantum
$\hbar\omega$ associated with the driving frequency, depending on its energy.
We characterize the device using Floquet theory and compare simple analytical
estimates to numerical simulations based on the Floquet-Born-Markov formalism.
In particular, we show that driving-induced heating is directly linked to the
micromotion of the Floquet states of the system.
