Decoherence from spin environment: Role of the Dzyaloshinsky-Moriya interaction

We study the time evolution of decoherence factor of two spin qubits and qutrits coupled to an $XY$ spin chain with Dzyaloshinsky-Moriya (DM) interaction environment. The dynamical process of the decoherence is numerically and analytically investigated. We find that the DM interaction can enhance slightly the decay of the decoherence factor in the weak-coupling region. However, in the strong-coupling region, the decoherence factor is very sensitive to the DM interaction.