Non-Markovian speedup evolution of a center massive particle in two-dimensional environmental model

Abstract A two-dimensional ray model is introduced to realize the non-Markovian speedup evolution of a center massive particle gravitationally coupled controllable environment (multilayer arrangement particles). By controlling environment, for instance by choosing judicious mass environmental particles or changing separation distance each particle, two dynamical crossover behaviors from Markovian and no-speedup are achieved due gravitational interactions between system particles. It obvious that critical these restrict other directly. The larger value is, smaller should be requested. In addition, it emphasized dynamics principal physical reason particle. Particularly, non-Markovianity process in even case has better correspondence with quantum speed limit time than singular case.