Regular Article - Theoretical Physics
Control of quantum dynamics: non-Markovianity and speedup of a massive particle evolution due to gravity
Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, 273165, Qufu, China
2 School of Science, Tianjin University of Technology, 300384, Tianjin, China
3 Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China
4 CAS Center for Excellence in Topological Quantum Computation, UCAS, 100190, Beijing, China
Accepted: 12 August 2022
Published online: 21 August 2022
We illustrate two linear configurations (one-side model and two-side model) for implementing a non-Markovian speedup evolution of a massive particle gravitationally coupled with a controllable environment: multiple massive particles. By controlling the environment, for instance by choosing a judicious the mass of the environmental particles or by changing the separation distance of each massive particle, two dynamical crossover behaviors from Markovian to non-Markovian and from no-speedup to speedup are achieved due to the gravitational interactions between the system particle and each environmental particle. Numerical calculation also shows that the critical mass of the environmental particles or the critical separation distance for these two dynamical crossover behaviors restrict each other directly. The larger the value of the mass of the environmental particles is, the smaller the value of the critical separation distance should be requested. In this work, the non-Markovian dynamics is the principal physical reason for the speedup evolution of a quantum system. Particularly, the non-Markovianity of the system mass particle in the two-side model has better correspondence with the quantum speed limit time than that in the one-side model.
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