Lieb-Robinson Bounds and the Exponential Clustering Theorem

Details Lieb-Robinson Bounds and the Exponential Clustering Theorem Lieb-Robinson Bounds and the Exponential Clustering Theorem

2005-06-10

arxiv.org/abs/math-ph/0506030v3

Commun. Math. Phys., 265 (2006) 119-130

Physics

Mathematical Physics

v2: corrected proof of Theorem 2. v3: slightly better bound in Theorem 2; updated proof

Scientific paper

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.

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