2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171064We investigate an $N$-particle Bose-Hubbard dimer with an additional effective decay term in one of the sites. A mean-field approximation for this non-Hermitian many-particle system is derived, based on a coherent state approximation. The resulting nonlinear, non-Hermitian two-level dynamics, in particular the fixed point structures showing characteristic modifications of the self-trapping transition, are analyzed. The mean-field dynamics is found to be in reasonable agreement with the full many-particle evolution.4 pages, 3 figures, published versionQuantum PhysicsOther Condensed Mattertext