论文标题
从半经典理论到随机相位近似的有效相互作用的效费动力学
Effective Dynamics of Interacting Fermions from Semiclassical Theory to the Random Phase Approximation
论文作者
论文摘要
我回顾了有关在平均场类型的高密度状态下相互作用的Fermi气体动力学的有效方程的推导的结果。可以区分精确性的三个级别的有效理论：弗拉索夫方程给出的半经典理论，由哈特里 - 局势方程给出的均值场理论，以及随机阶段近似相关的非平凡纠缠的主要影响。特别注意对可接受的初始数据的讨论，我提出了一个逼真的量子淬灭的示例，该量子可以通过Hartree-Fock Dynamics近似。
I review results concerning the derivation of effective equations for the dynamics of interacting Fermi gases in a high-density regime of mean-field type. Three levels of effective theories, increasing in precision, can be distinguished: the semiclassical theory given by the Vlasov equation, the mean-field theory given by the Hartree-Fock equation, and the description of the dominant effects of non-trivial entanglement by the random phase approximation. Particular attention is given to the discussion of admissible initial data, and I present an example of a realistic quantum quench that can be approximated by Hartree-Fock dynamics.
