  We investigate the time evolution of quantum discord and entanglement for
two-qubit coupled to a spin chain with three-site interaction in the
weak-coupling region. If the quantum system evolves from a Bell state, quantum
correlations decay to zero in a very short time at the critical point of the
environment. We found there exist some special interval of the three-site
coupling strength in which the decay of quantum discord and entanglement can be
delayed. When the qubits are initially prepared in a Bell diagonal state, the
decay of entanglement is also delayed in the special interval, but the decay of
quantum discord is enhanced. Besides, the sudden transition between classical
and quantum decoherence is observed. we found the transition time can be
lengthened at the special range of three-site interaction and shorten by degree
of anisotropy.
