  We investigate the time evolution of density, spin, and pairing correlation
functions in one-dimensional $t$-$J$ models following a quantum quench using
the time-dependent density matrix renormalization group (tDMRG). While density
and spin correlation functions show the typical light-cone behavior over a wide
range of parameters, in pairing correlation functions it is strongly
suppressed. This is supported by time-dependent BCS theory, where the
light-cone in the pairing correlation functions is found to be at least two
orders of magnitude weaker than in the density correlator. These findings
indicate that in global quantum quenches not all observables are affected by
the excitations equally.
