论文标题
由晶格费米和量子自旋产生的量子动力学
Quantum Dynamics Generated by Long-Range Interactions for Lattice Fermions and Quantum Spins
论文作者
论文摘要
我们研究了具有远距离或均值场相互作用的费米和量子自旋系统的宏观动力学，事实证明，这与经典和短距离量子动力学的复杂组合相当。在本文中，我们关注远程宏观动力学的\ emph {Quantum}一部分。经典部分在同伴论文中进行了研究。总体而言，获得的结果远远超出了以前的结果，需要开发合适的数学框架。值得注意的是，经典和量子世界的纠缠是值得注意的，开辟了新的理论观点，在这里被证明是长期或均值场相互作用的高度非本地特征的结果。
We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions, which turns out to be equivalent to an intricate combination of classical and short-range quantum dynamics. In this paper we focus on the \emph{quantum} part of the long-range macroscopic dynamics. The classical part is studied in a companion paper. Altogether, the results obtained are far beyond previous ones and required the development of a suitable mathematical framework. The entanglement of classical and quantum worlds is noteworthy, opening new theoretical perspectives, and is shown here to be a consequence of the highly non-local character of long-range, or mean-field, interactions.
