2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145517By deriving a three dimensional vector set of Maxwell-Bloch equations, we report on an ab-initio investigation of a spherical Mie nanolaser. Parallel numerical simulations predict a rich physical scenario, ranging from a nontrivial vectorial energy-matter interplay in the initial stage of evolution to mode competition and dynamical frequency pulling effects. Application of these effects could favor the realization of nonlinearly-controlled largely-tunable nanolaser devices.Slightly revised version with some typos corrected and figure 3 changed. 4 pages, 5 figuresOpticsSoft Condensed MatterQuantum Physicstext