Lieb-Robinson Bounds and the Exponential Clustering Theorem
- First Online:
- Cite this article as:
- Nachtergaele, B. & Sims, R. Commun. Math. Phys. (2006) 265: 119. doi:10.1007/s00220-006-1556-1
We give a Lieb-Robinson bound for the group velocity of a large class of discrete quantum systems which can be used to prove that a non-vanishing spectral gap implies exponential clustering in the ground state of such systems.