  A transmission line coupled to an externally driven superconducting quantum
interference device (SQUID) can exhibit the Dynamical Casimir Effect (DCE).
Employing this setup, we quantize the SQUID degrees of freedom and show that it
gives rise to a three-body interaction Hamiltonian with the cavity modes. By
considering only two interacting modes from the cavities we show that the
device can function as an autonomous cooler where the SQUID can be used as a
work source to cool down the cavity modes. Moreover, this setup allows for
coupling to all modes existing inside the cavities, and we show that by adding
two other extra modes to the interaction with the SQUID the cooling effect can
be enhanced.
