Skew information correlations and local quantum Fisher information in two gravitational cat states

Simulating quantum features of quantum systems is an important path to approaching quantum technologies and understanding the physical world. This paper inspects the dynamics of quantum correlations within two cat states carrying equal gravitational charges. We study the influence of both the thermal coupling and the gravitational interaction on the behavior of nonclassical correlations. In such a scenario, we assume neglecting all the environmental effects except gravitational interaction to explore how gravity impacts the quantum features of the considered system. The density operator is constructed in each instance, and the quantum correlations dynamics is investigated in detail as a function of all characteristics of the system leveraging local quantum uncertainty, uncertainty-induced nonlocality, and local quantum Fisher information. The findings reveal that quantum correlations depend upon the characteristics of the gravitational cat states and gravitational force intensity. Such investigation offers a compelling framework for assessing gravity effects at a low scale, leading to a better understanding of its impacts on the quantum aspects for prospective applications in developing quantum technologies.