  We investigate the signatures of fractionalization in quantum spin liquids by
studying different phases of the Kitaev honeycomb model in the presence of an
out-of-plane magnetic field through which the model becomes non-integrable.
Using the infinite Projected Entangled Pair States (iPEPS) ansatz, along with
analytical calculations and exact diagonalization, we calculate dynamical
signatures of fractionalized particles through spin-spin and dimer-dimer
correlations. Our analysis demonstrates the ability of these correlations to
discern distinct fractionalized quantum sectors, namely Majorana fermions and
the emergent $Z_2$ fluxes, in both the chiral spin liquid (CSL) phase under
weak field and the emergent intermediate gapless phase (IGP) under moderate
field. Importantly, our calculation reveals the nature of IGP observed at
moderate fields, a region of ongoing debate, indicating that this phase is a
Majorana metal induced by strong flux fluctuations.
