Quantum Dynamics Generated by Long-Range Interactions for Lattice Fermions and Quantum Spins

• URL: http://arxiv.org/abs/2009.05320v1
• Date: Fri, 11 Sep 2020 10:06:33 GMT
• Title: Quantum Dynamics Generated by Long-Range Interactions for Lattice Fermions and Quantum Spins
• Authors: J.-B. Bru and W. de Siqueira Pedra
• Abstract summary: We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results are far beyond previous ones and required the development of a suitable mathematical framework.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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