Lieb-Robinson bounds and the exponential clustering theorem

Bruno Nachtergaele; Robert Sims

doi:10.1007/s00220-006-1556-1

Lieb-Robinson bounds and the exponential clustering theorem

Bruno Nachtergaele, Robert Sims

Research output: Contribution to journal › Article › peer-review

282 Scopus citations

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)
Pages (from-to)	119-130
Number of pages	12
Journal	Communications in Mathematical Physics
Volume	265
Issue number	1
DOIs	https://doi.org/10.1007/s00220-006-1556-1
State	Published - Jul 2006
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-006-1556-1

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title = "Lieb-Robinson bounds and the exponential clustering theorem",

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.",

author = "Bruno Nachtergaele and Robert Sims",

year = "2006",

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doi = "10.1007/s00220-006-1556-1",

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Lieb-Robinson bounds and the exponential clustering theorem

Abstract

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