The evolution of quantum correlations for XXZ model is studied. It is shown that the simplified entanglement measure which follows from entanglement of formation can be used as an efficient tool in investigating the properties of the dynamics in question. In particular, the behavior of this measure for pure states gives us information about decoherence or entanglement that can occur during the time evolution for the system. We present some numerical results which confirm that the generalized conditional expectation defining the stochastic dynamics for XXZ model contains the proper (i.e. genuine quantum) interactions between subsystem and its environment.

PACS numbers: 05.30.--d, 03.65.Yz