  Dynamical signatures of quantum chaos are observed in the survival
probability of different initial states, in a system of cold atoms trapped in a
linear chain with site noise and open boundary conditions. It is shown that
chaos is present in the region of small disorder, at intermediate energies. The
study is performed with different number of sites and atoms: 7,8 and 9, but
focusing on the case where the particle density is one. States of the
occupation basis with energies in the chaotic region are evolved at long times.
  Remarkable differences in the behaviour of the survival probability are found
for states with different energy-eigenbasis participation ratio (PR). Whereas
those with large PR clearly exhibit the characteristic random-matrix
correlation hole before equilibration, those with small PR present a marginal
or even no correlation hole which is replaced by revivals lasting up to the
stage of equilibration, suggesting a connection with the quantum scarring
phenomenon.
