{ "id": "0712.3820", "version": "v2", "published": "2007-12-26T18:19:37.000Z", "updated": "2008-01-16T17:40:01.000Z", "title": "Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems", "authors": [ "Bruno Nachtergaele", "Hillel Raz", "Benjamin Schlein", "Robert Sims" ], "journal": "Commun. Math. Phys. 286 (2009) 1073--1098", "doi": "10.1007/s00220-008-0630-2", "categories": [ "math-ph", "cond-mat.stat-mech", "math.MP", "quant-ph" ], "abstract": "We prove Lieb-Robinson bounds for the dynamics of systems with an infinite dimensional Hilbert space and generated by unbounded Hamiltonians. In particular, we consider quantum harmonic and certain anharmonic lattice systems.", "revisions": [ { "version": "v2", "updated": "2008-01-16T17:40:01.000Z" } ], "analyses": { "subjects": [ "82C10", "82C20" ], "keywords": [ "anharmonic lattice systems", "lieb-robinson bounds", "infinite dimensional hilbert space", "quantum harmonic", "unbounded hamiltonians" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Communications in Mathematical Physics", "year": 2009, "month": "Mar", "volume": 286, "number": 3, "pages": 1073 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009CMaPh.286.1073N" } } }