On the dynamics of lattice systems with unbounded on-site terms in the\n Hamiltonian

2014/10/29 by Bruno Nachtergaele, Nachtergaele, Bruno, Robert Sims +1 · 1 citation
Mathematics · Physics and Astronomy · #82C10 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Quantum many-body systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1410.8174

openalex publication_date 2014/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We supply the mathematical arguments required to complete the proofs of two\npreviously published results: Lieb-Robinson bounds for the dynamics of quantum\nlattice systems with unbounded on-site terms in the Hamiltonian and the\nexistence of the thermodynamic limit of the dynamics of such systems.\n

Citations

• Lieb-Robinson Bounds and the Exponential Clustering Theorem

Cited by

• Subcriticality at High Temperatures in Spin Lattice Systems

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