Dynamics of Geometric Discord and Measurement-Induced Nonlocality at Finite Temperature

By using geometric measure of discord ($\mathtt{\text{GMOD}}$)[Phys. Rev. Lett, 105, 109502 (2010)] and measurement-induced nonlocality ($\mathtt{\text{MIN}}$)[Phys. Rev. Lett, 106, 120401 (2011)], we investigate quantum correlation of a pair of two-level systems, each of which is interacting with a reservoir at finite temperature $T$. We show that, for a broad class of states of the system, $\mathtt{\text{GMOD}}$ and $\mathtt{\text{MIN}}$ can endure sudden death, and there is no asymptotic decay for $\mathtt{\text{MIN}}$ while asymptotic decay exists for $\mathtt{\text{GMOD}}$. We also give the dynamics of $\mathtt{\text{GMOD}}$ and $\mathtt{\text{MIN}}$ with respect to the temperature and illustrate their different characteristics.