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arxiv: math-ph/0506030 · v3 · submitted 2005-06-10 · 🧮 math-ph · cond-mat.stat-mech· math.MP

Lieb-Robinson Bounds and the Exponential Clustering Theorem

classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords clusteringexponentiallieb-robinsonsystemsboundboundsclassdiscrete
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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.

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