  We study the fine structure of long-time quantum noise in correlation
functions of AdS/CFT systems. Under standard assumptions of quantum chaos for
the dynamics and the observables, we estimate the size of exponentially small
oscillations and trace them back to geometrical features of the bulk system.
The noise level is highly suppressed by the amount of dynamical chaos and the
amount of quantum impurity in the states. This implies that, despite their
missing on the details of Poincare recurrences, `virtual' thermal AdS phases do
control the overall noise amplitude even at high temperatures where the thermal
ensemble is dominated by large AdS black holes. We also study EPR correlations
and find that, in contrast to the behavior of large correlation peaks, their
noise level is the same in TFD states and in more general highly entangled
states.
