  The quantum XXZ spin model with alternating bond strengths under magnetic
field has a rich equilibrium phase diagram which includes Haldane, Luttinger
liquid, singlet, and paramagnetic phases. We show that the nearest neighbor
bipartite and multipartite entanglement can detect quantum critical lines and
phases in this model. We determine a region in parameter space in which the
dynamical states, starting from the ground state of the Haldane (dimer) phase
can create highly multipartite entangled states for any time period, thereby
establishing it as a potential candidate for the implementation of quantum
information tasks. We also exhibit that if the initial and evolved states are
in two different phases, the nonanalytic behavior of multipartite entanglement
and the rate function based on Loschmidt echo can signal quantum phase
transition happened at zero temperature. In a similar spirit, we report that
from the product state, the patterns of block entanglement entropy of the
evolved state with time can also infer the phase transition at equilibrium.

Quantum Physics;Statistical Mechanics;Strongly Correlated Electrons