We investigate the quantum to classical transition induced by two-particle interaction via a system of periodically kicked particles. The classical dynamics of particle 1 is almost unaffected in condition that its mass is much larger than that of particle 2. Interestingly, such classically weak influence leads to the quantum to classical transition of the dynamical behavior of particle 1. Namely, the quantum diffusion of this particle undergoes the transition from dynamical localization to the classically chaotic diffusion with the decrease of the effective Planck constant ℏ eff. The behind physics is due to the growth of entanglement in the system. The classically very weak interaction leads to the exponential decay of purity in condition that the classical dynamics of external degrees freedom is strongly chaotic.

中文翻译：

---

由经典小影响引起的量子到经典跃迁*

我们通过周期性踢粒子系统研究由两粒子相互作用引起的量子到经典跃迁。粒子 1 的经典动力学在其质量远大于粒子 2 的情况下几乎不受影响。有趣的是，这种经典的弱影响导致粒子 1 动力学行为的量子到经典转变。即，随着有效普朗克常数 ℏ eff 的降低，该粒子经历了从动态定位到经典混沌扩散的转变。背后的物理学是由于系统中纠缠的增长。在外部自由度的经典动力学强烈混沌的条件下，经典的非常弱的相互作用导致纯度指数衰减。