  The maximally entangled state can be in a mixed state as well as the
well-known pure state. Taking the negativity as a measure of entanglement, we
study the entanglement dynamics of bipartite, mixed maximally entangled states
(MMESs) in multipartite cavity-reservoir systems. It is found that the MMES can
exhibit the phenomenon of entanglement sudden death, which is quite different
from the asymptotic decay of the pure-Bell-state case. We also find that
maximal entanglement cannot guarantee maximal nonlocality and the MMES does not
correspond to the state with maximal measurement-induced nonlocality (MIN). In
fact, the value and dynamic behavior of the MIN for the MMESs are dependent on
the mixed state probability. In addition, we investigate the distributions of
negativity and the MIN in a multipartite system, where the two types of
correlations have different monogamous properties.
