2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/91722Quantum process tomography is used to fully characterize the evolution of the quantum vibrational state of atoms. Rubidium atoms are trapped in a shallow optical lattice supporting only two vibrational states, which we charcterize by reconstructing the 2x2 density matrix. Repeating this process for a complete set of inputs allows us to completely characterize both the system's intrinsic decoherence and resonant coupling.5 pages, 4 figures, submitted to Phys. Rev. LettQuantum Physicstext