2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96405We show that the fidelity decay between an initial eigenstate state evolved under a unitary chaotic operator and the same eigenstate evolved under a perturbed operator saturates well before the 1/N limit, where $N$ is the size of the Hilbert space, expected for a generic initial state. We provide a theoretical argument and numerical evidence that, for intermediate perturbation strengths, the saturation level depends quadratically on the perturbation strength.3 figuresQuantum PhysicsFidelity Decay Saturation Level for Initial Eigenstatestext