  Correlations between the parts of a many-body system, and its time dynamics,
lie at the heart of sciences, and they can be classical as well as quantum.
Quantum correlations are traditionally viewed as constituted out of classical
correlations and magnetizations. While that of course remains so, we show that
quantum correlations can have statistical mechanical properties like
ergodicity, which is not inherited from the corresponding classical
correlations and magnetizations, for the transverse anisotropic quantum XY
model in one-, two-, and quasi two-dimension, for suitably chosen transverse
fields and temperatures. The results have the potential for applications in
decoherence effects in realizable quantum computers.
