Lieb-Robinson bounds for commutator-bounded operators

2009/12/31 by Isabeau Prémont-Schwarz, Alioscia Hamma, Israel Klich +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebra over a field #Bounded function #Commutator #Discrete mathematics #Hamiltonian (control theory) #Mathematical analysis #Mathematical optimization #Mathematical physics #Mathematics #Pure mathematics #Quantum many-body systems #Spectral Theory in Mathematical Physics #cond-mat.str-el #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physreva.81.040102

published as Physical Review A Vol.81, No.4 (2010) · 5 pages, minor editorial changes

arxiv created 2010/04/07 · openalex publication_date 2010/04/27 · arxiv updated 2010/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We generalize the Lieb-Robinson theorem to systems whose Hamiltonian is the sum of local operators whose commutators are bounded.

Citations

• A Multi-Dimensional Lieb-Schultz-Mattis Theorem
• Lieb-Schultz-Mattis in higher dimensions
• Lieb-Robinson Bounds and the Exponential Clustering Theorem
• Simulating adiabatic evolution of gapped spin systems

Cited by

• Properties of quantum graphity at low temperature

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