Abstract
The overlap of two wave packets evolving in time with slightly different Hamiltonians decays exponentially for perturbation strengths U greater than the level spacing We present numerical evidence for a dynamical system that the decay rate is given by the smallest of the Lyapunov exponent of the classical chaotic dynamics and the level broadening that follows from the golden rule of quantum mechanics. This implies the range of validity for the perturbation-strength independent decay rate discovered by Jalabert and Pastawski [Phys. Rev. Lett. 86, 2490 (2001)].
- Received 19 July 2001
DOI:https://doi.org/10.1103/PhysRevE.64.055203
©2001 American Physical Society