Quantum Control of Metrological Quantities in Two-Component Bose–Einstein Condensates

We investigate a two-component Bose–Einstein condensate as a platform for quantum metrology and characterize the dynamical evolution of the quantum state using two complementary metrics: the quantum Fisher information and the normalized Shannon entropy. With time-dependent control, metrological resources can be prepared and stabilized over a finite time window. These schemes provide a comprehensive assessment of the quantum dynamics of these resources in terms of phase sensitivity and the concentration of the state distribution, thereby offering a theoretical basis for designing robust quantum metrology protocols.