  Quantum spin models find applications in many different areas, such as
spintronics, high-Tc superconductivity, and even complex optimization problems.
However, studying their many-body behaviour, especially in the presence of
frustration, represents an outstanding computational challenge. To overcome it,
quantum simulators based on cold, trapped atoms and ions have been built,
shedding light already on many non-trivial phenomena. Unfortunately, the models
covered by these simulators are limited by the type of interactions that appear
naturally in these systems. Waveguide QED setups have recently been pointed out
as a powerful alternative due to the possibility of mediating more versatile
spin-spin interactions with tunable sign, range, and even chirality. Yet,
despite their potential, the many-body phases emerging from these systems have
only been scarcely explored. In this manuscript, we fill this gap analyzing the
ground states of a general class of spin models that can be obtained in such
waveguide QED setups. Importantly, we find novel many-body phases different
from the ones obtained in other platforms, e.g., symmetry-protected topological
phases with large-period magnetic orderings, and explain the measurements
needed to probe them.
