Dynamics in one dimension: from integrability to inelastic neutron scattering
and beyond
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Over the last few years, integrability has become a method of choice for the
calculation of equilibrium dynamical correlation functions of systems such as
spin chains and interacting atomic gases, its main strength being its ability to
go beyond low-energy effective theories. A brief review will be given of results
on simple and more elaborate observables relevant to experiments such as
inelastic neutron scattering, resonant inelastic x-ray scattering and their
equivalents in cold atomic systems. Recent applications to out-of-equilibrium
physics in cold atoms will also be discussed.