Geometric measure of quantum discord in non-Markovian environments

Xing Mao Xiao, Mao-Fa Fang, Yan‐Ling Li +2 more

Ming‐Liang Hu, Han‐li Lian

Arapat Ablimit, Dildar Hitjan, Ahmad Abliz

Abstract In this paper, we study the geometric quantum discord dynamics of the double quantum dot charge qubit in the non-Markovian environment. We apply the non-perturbative non-Markovian quantum state diffusion method to obtain the exact master equation of the double quantum dot system coupled to two independent non-zero temperature electronic baths. Then, we use this master equation to investigate the effects of non-Markovianity, inter-dot coupling strength and bath temperature on the dynamics of geometric quantum discord. Our studies show that the geometric quantum discord of a double quantum dot system can be modified and enhanced in some cases via these factors.

Shunlong Luo, Shuangshuang Fu

Rui-Lin Xiao, Xing Mao Xiao, Wo-Jun Zhong

We analyze the dynamics of geometric measure of discord (GMOD) and measurement-induced non-locality (MIN) in the presence of initial system—reservoir correlations without Born and Markov approximation. Although the initial system—environment states have the same reduced density matrices for both the system and environment, the effects of different initial system—environment correlations have been shown to fundamentally alter the time evolution of GMOD and MIN between two quantum systems in both Markovian and non-Markovian regimes. In general, both GMOD and MIN experience a sudden increase for initially quantum-correlated states, and a sudden decrease for classical-correlated states before they reach the same stationary values with initially factorized states.

Lei Li, Qing‐Wen Wang, Shu‐Qian Shen +1 more