2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215869We analyze nonlinear coupling between individual vibrational quanta for trapped ions. The nonlinear Coulomb interaction causes a Kerr-type Hamiltonian, for which we derive an analytical expression for the coupling constant. In contrast to a previously published formula [1], our result is in close agreement with experimental data.4 pages, 2 figures, and 1 tableQuantum PhysicsTheory of Cross Phase Modulation for the Vibrational Modes of Trapped Ionstext