Geometric measure of quantum correlation: The influence of the asymmetry environments

•The geometric quantum discord (GQD) of a two qubits system is investigated.•The behaviors of GQD under the asymmetry environments are displayed and discussed.•The revival phenomenon is depressed with increasing temperature TT.•The coupling parameters q1q1 and q2q2 can improve revival phenomenon.•The GQD shows the reverse (order) phenomena at lower (higher) temperatures.

The quantum correlation in open quantum systems is of fundamental and practical importance for quantum information processing and controllable nanometer devices. And the properties of quantum correlation can be influenced by the information flow between systems and environments. In this study, we investigated the geometric measure discord of quantum correlation of a two qubits system, interacting with two independent and intrinsic interacting spin-environments, respectively. Based on the asymmetry environments with comparable parameters, the different properties of the geometric measure of entanglement and quantum discord are displayed and discussed for initial Bell states.