  Neutron stars are astrophysical laboratories of many extremes of physics.
Their rich phenomenology provides insights into the state and composition of
matter at densities which cannot be reached in terrestrial experiments. Since
the core of a mature neutron star is expected to be dominated by superfluid and
superconducting components, observations also probe the dynamics of large-scale
quantum condensates. The testing and understanding of the relevant theory tends
to focus on the interface between the astrophysics phenomenology and nuclear
physics. The connections with low-temperature experiments tend to be ignored.
However, there has been dramatic progress in understanding laboratory
condensates (from the different phases of superfluid helium to the entire range
of superconductors and cold atom condensates). In this review, we provide an
overview of these developments, compare and contrast the mathematical
descriptions of laboratory condensates and neutron stars and summarise the
current experimental state-of-the-art. This discussion suggests novel ways that
we may make progress in understanding neutron star physics using
low-temperature laboratory experiments.
