Lieb-robinson bounds for harmonic and anharmonic lattice systems

Bruno Nachtergaele; Hillel Raz; Benjamin Schlein; Robert Sims

doi:10.1007/s00220-008-0630-2

Lieb-robinson bounds for harmonic and anharmonic lattice systems

Bruno Nachtergaele
, Hillel Raz
, Benjamin Schlein
, Robert Sims

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

91 Scopus citations

Abstract

We prove Lieb-Robinson bounds for systems defined on infinite dimensional Hilbert spaces and described by unbounded Hamiltonians. In particular, we consider harmonic and certain anharmonic lattice systems.

Original language	English (US)
Pages (from-to)	1073-1098
Number of pages	26
Journal	Communications in Mathematical Physics
Volume	286
Issue number	3
DOIs	https://doi.org/10.1007/s00220-008-0630-2
State	Published - Mar 2009
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s00220-008-0630-2

Cite this

@article{9d17991efb704a3b84facb19015b0f6e,

title = "Lieb-robinson bounds for harmonic and anharmonic lattice systems",

abstract = "We prove Lieb-Robinson bounds for systems defined on infinite dimensional Hilbert spaces and described by unbounded Hamiltonians. In particular, we consider harmonic and certain anharmonic lattice systems.",

author = "Bruno Nachtergaele and Hillel Raz and Benjamin Schlein and Robert Sims",

year = "2009",

month = mar,

doi = "10.1007/s00220-008-0630-2",

language = "English (US)",

volume = "286",

pages = "1073--1098",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Lieb-robinson bounds for harmonic and anharmonic lattice systems

AU - Nachtergaele, Bruno

AU - Raz, Hillel

AU - Schlein, Benjamin

AU - Sims, Robert

PY - 2009/3

Y1 - 2009/3

N2 - We prove Lieb-Robinson bounds for systems defined on infinite dimensional Hilbert spaces and described by unbounded Hamiltonians. In particular, we consider harmonic and certain anharmonic lattice systems.

AB - We prove Lieb-Robinson bounds for systems defined on infinite dimensional Hilbert spaces and described by unbounded Hamiltonians. In particular, we consider harmonic and certain anharmonic lattice systems.

UR - https://www.scopus.com/pages/publications/59449104064

UR - https://www.scopus.com/pages/publications/59449104064#tab=citedBy

U2 - 10.1007/s00220-008-0630-2

DO - 10.1007/s00220-008-0630-2

M3 - Article

AN - SCOPUS:59449104064

SN - 0010-3616

VL - 286

SP - 1073

EP - 1098

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

Lieb-robinson bounds for harmonic and anharmonic lattice systems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this