The Influence Of The Quantum Properties Of Gravity On The Quantum State Dynamics Of Small Mass System

With the rise of the field of photomechanics,some recent experiments have tested the quantum properties of gravity by measuring entanglement generation between small massive subsystems.In the BMV experiment,entanglement between subsystems cannot be generated by local operation and classical communication(LOCC)in quantum information theory.But entanglement can be generated between two subsystems when only gravitational interaction satisfying the local theory exists between two small massive subsystems,which indirectly prove the quantum property of gravity.Therefore,it is necessary to consider the mass of the system and the gravitational interactions with small massive environmental particles when we study the quantum state dynamics regulation of actual physical systems(such as diamond nitrogen-vacancy center system).At present,many researchers are devoted to analyzing the effect of gravity on the generation of entangled states and decoherence of quantum states of the massive subsystems.The non-Markovian dynamics behavior of quantum states can not only suppress decoherence of quantum system,but also can accelerate the evolution speed of quantum states.In this paper,the dynamic behavior transformation of a small massive system(Markovian dynamics to non-Markovian dynamics,no-speedup evolution to speedup evolution)is realized theoretically by regulating the parameters of the environment composed of some small massive particles,which provides some theoretical reference for the verification experiments of gravitational quantum properties and the study of quantum state control in the actual physical systems.Firstly,based on the one-dimensional massive multi-particle model(one-side model and two-side model),the dynamical evolution behavior of the quantum state of a single massive particle system under these two models is studied.And the relationship between the non-Markovianity and the quantum speed limit time is also compared in these two models.By adjusting the distance between massive particles and the mass of environmental particles,two kinds of dynamical behavior transformation of the massive system particle from Markovian dynamics to non-Markovian dynamics and from no-speedup evolution to speedup evolution are realized.The results show that the critical environmental particle mass or critical separation distance of these two dynamic transformation behaviors are mutually restricted.The larger the mass of environmental particles,the smaller the requirement of critical separation distance.Then through comparison,it is found that in the two-side model,the dynamic transformation behavior from no acceleration to acceleration is directly related to the dynamic transformation behavior from Markovian to non-Markovian.And it is easier to accelerate the quantum state evolution of the massive system than that in the one-side model.Secondly,we introduce a two-dimensional multi-ray model to realize the non-Markovian accelerated evolution of a central massive system particle through the gravitational interactions of the system particle and the controllable environment(multi-layer arrangement of small massive particles).Due to the gravitational interaction between the system particle and the environmental massive particles,two kinds of dynamic transformation behaviors from Markovian to non-Markovian and from no-speedup to speedup are realized by controlling the parameters of the environmental particles,such as selecting the appropriate mass of environmental particles or changing the separation distance of each massive particle.In addition,in the case of even rays,it is shown that the non-Markovian dynamics is the main physical reason for the speedup evolution of the center massive system particle.In the case of even two rays and two environmental ambient particles,the dynamics of the center massive system particle can be most easily accelerated.