Locality in quantum systems [chapter]

Matthew B Hastings
2012 Quantum Theory from Small to Large Scales  
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
more » ... use techniques that give very slightly weaker bounds for simplicity.
doi:10.1093/acprof:oso/9780199652495.003.0003 fatcat:lmhssyqdsrbxnd3s7lnau2tm5u