Quantum Correlations in Gravitationally Coupled Masses Under Oscillatory Magnetic Driving

Abstract

We investigate time‐dependent quantum correlations in a system of three gravitationally coupled quantum masses subjected to an oscillatory magnetic field B(t)$B(t)$ , using the thermal density matrix formalism, we analyze the dynamics of quantum coherence Cl1$C_{l_1}$ , quantum negativity N$\mathcal {N}$ , local quantum uncertainty ( LQU$\mathcal {LQU}$ ), and local quantum Fisher information ( LQFI$\mathcal {LQFI}$ ) as functions of time and key physical parameters, including the gravitational coupling strength Δ$\Delta$ , magnetic field amplitude B0$B_0$ , magnetic–mass coupling constant γ$\gamma$ , intrinsic energy ω$\omega$ , and temperature T$T$ . Our results reveal rich dynamical behavior: quantum coherence exhibits pronounced temporal minima for moderate Δ$\Delta$ , while strong coupling suppresses time dependence, while entanglement remains robust against thermal effects and shows a non‐monotonic dependence on magnetic field parameters, moreover, LQU$\mathcal {LQU}$ and LQFI$\mathcal {LQFI}$ display complementary behaviors, with LQU$\mathcal {LQU}$ being highly sensitive to external driving, whereas LQFI$\mathcal {LQFI}$ retains strong metrological robustness, analysis of the instantaneous energy spectrum reveals eigenstates with distinct sensitivities to gravitational, and magnetic interactions, including quasi‐flat bands arising from effective symmetry cancellations, these findings clarify the interplay between gravity, magnetic driving, and thermal effects in multipartite quantum systems and highlight potential applications in quantum sensing and metrology.