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

TL;DR

This paper studies how geometric discord and measurement-induced nonlocality, two measures of quantum correlations, evolve at finite temperature, revealing phenomena like sudden death and differing decay behaviors.

Contribution

It provides a detailed analysis of the dynamics of GMOD and MIN at finite temperature, highlighting their distinct decay patterns and robustness.

Findings

MIN shows no asymptotic decay, unlike GMOD.

Both GMOD and MIN can experience sudden death.

Temperature affects the dynamics of quantum correlations.

Abstract

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.