  Exactly solvable many-body systems are few and far between, and the utility
of approximate methods cannot be overestimated. Entanglement mean field theory
is an approximate method to handle such systems. While mean field theories
reduce the many-body system to an effective single-body one, entanglement mean
field theory reduces it to a two-body system. And in contrast to mean field
theories where the self-consistency equations are in terms of single-site
physical parameters, those in entanglement mean field theory are in terms of
both single- and two-site parameters. Hitherto, the theory has been applied to
predict properties of the static states, like ground and thermal states, of
many-body systems. Here we give a method to employ it to predict properties of
time-evolved states. The predictions are then compared with known results of
paradigmatic spin Hamiltonians.
