This thesis presents an exact theoretical study of dynamical
correlation functions in different phases of a two-dimensional
quantum spin liquid. By calculating the dynamical spin structure
factor and the Raman scattering cross section, this thesis shows
that there are salient signatures-qualitative and quantitative-of
the Majorana fermions and the gauge fluxes emerging as effective
degrees of freedom in the exactly solvable Kitaev honeycomb lattice
model. The model is a representative of a class of spin liquids
with Majorana fermions coupled to Z2 gauge fields. The qualitative
features of the response functions should therefore be
characteristic for this broad class of topological states.
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