  The present work reports on the dynamical measures of order, disorder and
complexity for the interacting bosons in optical lattice. We report results
both for the relaxed state as well as quench dynamics. Our key observations
are: (1) Lattice depth can be taken as order-disorder parameter. (2) The
superfluid to Mott insulator transition can be treated as `order-disorder'
transition. Our main motivation is to find how the system organize by itself
during quench and how it optimizes the complexity. We find dynamical measures
of order and disorder are more sensitive tool than entropy measures. We
specifically calculate the time scale of entry and exit of different phases
during time evolution. Initially the system exhibits collapse revival trend,
however gradually looses its ability to turn back to superfluid phase and
finally Settle to Mott insulator phase.
