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

By using geometric measure of discord (\texttt{GMOD})[Phys. Rev. Lett, 105, 109502 (2010)] and measurement-induced nonlocality (\texttt{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, \texttt{GMOD} and \texttt{MIN} can endure sudden death, and there is no asymptotic decay for \texttt{MIN} while asymptotic decay exists for \texttt{GMOD}. We also give the dynamics of \texttt{GMOD} and \texttt{MIN} with respect to the temperature and illustrate their different characteristics.