LAUSR

We investigate the dynamics of quantum coherence, based on relative entropy and quantum skew information, for tripartite systems in a quantum-critical environment. We demonstrate that initial states, the strength of magnetic field, anisotropy parameter, system–environment coupling, and the scale of the environment strongly affect coherence evolution. We find that two measures of coherence are frozen for the initial W state coupled to an XY spin-chain environment as the system–environment coupling satisfies certain conditions. We compare the dynamics of quantum coherence with that of the entanglement and the quantum discord. The analysis shows no hierarchical relationship among them.