2017/11/30 by Zhiqiang Huang, Xiao-Kan Guo · 7 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bound state #Bounded function #Cluster (spacecraft) #Cluster analysis #Cluster expansion #Computer science #Exponential function #Function (biology) #Lattice (music) #Materials science #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum graph #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #Simple (philosophy) #Statistical physics #Upper and lower bounds #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.97.062131
published in Physical review. E 97(6), 062131 (American Physical Society) · 12 pages, 6 figures
openalex publication_date 2018/06/18 · arxiv created 2018/06/19 · arxiv updated 2018/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Lieb-Robinson bound shows that the speed of propagating information in a nonrelativistic quantum lattice system is bounded by a finite velocity, which entails the clustering of correlations. In this paper, we extend the Lieb-Robinson bound to quantum systems at finite temperature by calculating the dynamical correlation function at nonzero temperature for systems whose interactions are, respectively, short range, exponentially decaying, and long range. We introduce a simple way of counting the clusters in a cluster expansion by using the combinatoric generating functions of graphs. Limitations and possible applications of the obtained bound are also discussed.