### Abstract

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.

Original language | English (US) |
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Pages (from-to) | 119-130 |

Number of pages | 12 |

Journal | Communications in Mathematical Physics |

Volume | 265 |

Issue number | 1 |

DOIs | |

State | Published - Jul 2006 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Nachtergaele, B., & Sims, R. (2006). Lieb-Robinson bounds and the exponential clustering theorem.

*Communications in Mathematical Physics*,*265*(1), 119-130. https://doi.org/10.1007/s00220-006-1556-1