2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110604We propose a scheme to achieve a Mach-Zehnder interferometry using a quantized Bose-Josephson junction with negative charging energy. The quantum adiabatic evolution through a dynamical bifurcation is used to accomplish the beam splitting and recombination. The negative charging energy ensures the existence of a path-entangled state which enhances the phase measurement precision to the Heisenberg limit. A feasible detection procedure is also presented. The scheme should be realizable with current technology.Revised version, 4 pages, 4 figures, Accepted for publication in Physical Review LettersQuantum Physicstext