Explicit and implicit quantum correlation dynamics of qubits interacting with thermal baths

Abstract This paper investigates the dynamics of quantum correlations, specifically entanglement, steering, and Local Quantum Uncertainty (LQU), in a bipartite qubit system coupled to independent, isolated circular spin-star baths. Contrary to intuition, we demonstrate that substantial quantum correlations can persist even in the absence of direct bath-bath interactions. Our findings reveal that the symmetry of the system and initial atomic populations are critical factors in facilitating robust steering and strong quantum correlations. We further show that increasing the internal bath coupling can enhance the quantum correlations between the baths regardless of indirect interaction. Conversely, increasing the internal bath coupling and bath-qubit coupling can weaken the quantum correlations between the central qubits. Interestingly, indirect coupling between the baths, mediated by the qubits, can lead to robust entanglement and steering. The LQU provides deeper insights into the interplay between uncertainty and correlation. The initial conditions minimize uncertainty and maximize correlations, while imbalances result in increased LQU. These results have profound implications for quantum information processing and control, offering potential strategies for optimizing quantum device performance and protocol design.