Locality in Quantum Systems
Locality in Quantum Systems
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DOI：
10.1093/acprof:oso/9780199652495.003.0003
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发表时间：
2010-08
期刊：
影响因子：
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通讯作者：
M. Hastings
中科院分区：
文献类型：
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作者：
M. Hastings
这些讲义重点关注局域性思想（特别是李布-罗宾逊界限）在量子多体系统中的应用。我们考虑的应用包括相关衰减、拓扑序、高维 Lieb-Schultz-Mattis 定理和非相对论 Goldstone 定理。重点是试图展示计算背后的想法。因此，证明只是勾画出来，强调其背后的直观想法，并且在某些情况下，我们使用的技术为简单性提供了稍微较弱的界限。这是讲义的初步版本，目的是在课程结束时将讲义发布出来。欢迎评论。
These lecture notes focus on the application of ideas of locality, in particular Lieb-Robinson bounds, to quantum many-body systems. We consider applications including correlation decay, topological order, a higher dimensional Lieb-Schultz-Mattis theorem, and a nonrelativistic Goldstone theorem. The emphasis is on trying to show the ideas behind the calculations. As a result, the proofs are only sketched with an emphasis on the intuitive ideas behind them, and in some cases we use techniques that give very slightly weaker bounds for simplicity. This is a preliminary version of the lecture notes, with the goal of getting the notes out close to the end of the school. Comments welcome.