  With the introduction of superconducting circuits into the field of quantum
optics, many novel experimental demonstrations of the quantum physics of an
artificial atom coupled to a single-mode light field have been realized.
Engineering such quantum systems offers the opportunity to explore extreme
regimes of light-matter interaction that are inaccessible with natural systems.
For instance the coupling strength $g$ can be increased until it is comparable
with the atomic or mode frequency $\omega_{a,m}$ and the atom can be coupled to
multiple modes which has always challenged our understanding of light-matter
interaction. Here, we experimentally realize the first Transmon qubit in the
ultra-strong coupling regime, reaching coupling ratios of $g/\omega_{m}=0.19$
and we measure multi-mode interactions through a hybridization of the qubit up
to the fifth mode of the resonator. This is enabled by a qubit with 88% of its
capacitance formed by a vacuum-gap capacitance with the center conductor of a
coplanar waveguide resonator. In addition to potential applications in quantum
information technologies due to its small size and localization of electric
fields in vacuum, this new architecture offers the potential to further explore
the novel regime of multi-mode ultra-strong coupling.
