晶格费米子和量子自旋的长程相互作用产生的量子动力学
Quantum Dynamics Generated by Long-Range Interactions for Lattice Fermions and Quantum Spins
摘要：
我们研究了费米子和量子自旋系统的宏观动力学与远程，或平均场，相互作用，这是相当于一个复杂的组合的经典和短程量子动力学。本文主要研究长程宏观动力学的\emph{quantum}部分。经典的一部分是研究在一个配套文件。总而言之，所获得的结果是远远超过以前的，需要一个合适的数学框架的发展。经典世界和量子世界的纠缠是值得注意的，开辟了新的理论视角，并在这里被证明是远程或平均场相互作用的高度非局域性的结果。
英文摘要：
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.
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