Lieb-Robinson Bounds and the Exponential Clustering Theorem
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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.
v2: corrected proof of Theorem 2. v3: slightly better bound in Theorem 2; updated proof
v2: corrected proof of Theorem 2. v3: slightly better bound in Theorem 2; updated proof