  In this article we investigate the unitary dynamics of squashed entanglement
and concurrence measures in Werner state and maximally entangled mixed states
(MEMS) under two different Hamiltonians. The aim of the present study is two
fold. The first part of the study deals with the dynamics under Heisenberg
Hamiltonian and the second part deals under bi-linear bi-quadratic Hamiltonian
which is the extension of first Hamiltonian. In both the parts we investigate
the dynamical trade off and balancing points for squashed entanglement and
concurrence. During the study, we also found the results of entanglement sudden
death (ESD) with Heisenberg Hamiltonian in Werner state under concurrence
measure. In second part, we investigate the special result for bi-linear
bi-quadratic Hamiltonian; it does not disturb squashed entanglement and
concurrence in both the states and exhibit the robust character for both of the
states.
