  Entanglement freezing has been demonstrated existing in various noisy
decoherence mechanisms. Here we explore its universality by investigating
freezing behavior in a lossless multiparty system, i.e., an $N$-site optical
lattice (or equivalently spin-chain) system. Interesting phenomenon of
permanent entanglement freezing is found for the infinite-size case
($N\rightarrow\infty$). As the multiparty system size reduces to finite $N$,
the interesting behavior of dynamical entanglement "thawing" start to emerge.
Especifically, alternative appearances of "freezing" and "thawing" can be
identified as time evolves. Our results may provide useful guidance to
entanglement control in quantum tasks.
