  Platforms based on transmission lines are nowadays employed for the
simulation of standard phenomena in quantum electrodynamics and quantum field
theory. In this work, we propose a hybrid platform, in which a right-handed
transmission line is connected to a left-handed transmission line by means of a
superconducting quantum interference device (SQUID). We examine the interaction
between the two transmission lines, as well as the excitation flow along the
composed platform. We show that, by activating specific resonance conditions,
this platform can be used as a quantum simulator of different phenomena in
quantum optics, multimode quantum systems and quantum thermodynamics.
