Quantum dynamics generated by long-range interactions for lattice fermions and quantum spins

DOI10.1016/j.jmaa.2020.124517zbMath1451.82025arXiv2009.05320OpenAlexW4205697824MaRDI QIDQ2208279

Yanyan Li

Publication date: 23 October 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05320

zbMATH Keywords

self-consistency equationsinteracting fermionsclassical and quantum dynamicsextended quantum mechanicsquantum-spin

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items

Classical dynamics from self-consistency equations in quantum mechanics ⋮ Classical dynamics generated by long-range interactions for lattice fermions and quantum spins ⋮ Entanglement of classical and quantum short-range dynamics in mean-field systems

Cites Work

• Classical dynamics generated by long-range interactions for lattice fermions and quantum spins
• On rings of operators. Reduction theory
• Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory
• Non–cooperative equilibria of Fermi systems with long range interactions
• The mathematical structure of the bardeen-cooper-schrieffer model
• Lectures on Choquet's theorem
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