We study the statistics and short-time dynamics of the classical and the quantum Fermi–Pasta–Ulam chain in the thermal equilibrium. We analyze the distributions of single-particle configurations by integrating out the rest of the system. At low temperatures, we observe a systematic increase in the mobility of the chain when transitioning from classical to quantum mechanics due to zero-point energy effects. We analyze the consequences of quantum dispersion on the dynamics at short times of configurational correlation functions.

中文翻译：

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经典费米-帕斯塔-乌拉姆模型和量子模型中的结构局部化

我们研究了热平衡中经典链和费米－帕斯塔－乌拉姆量子链的统计和短时动力学。我们通过集成系统的其余部分来分析单粒子配置的分布。在低温下，由于零点能量效应，当从经典力学过渡到量子力学时，我们观察到链迁移率的系统性增加。我们分析了量子色散对构型相关函数在短时间内动力学的影响。