Communications in Mathematical Physics

, Volume 286, Issue 3, pp 1073–1098

Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems

  • Bruno Nachtergaele
  • Hillel Raz
  • Benjamin Schlein
  • Robert Sims
Article

DOI: 10.1007/s00220-008-0630-2

Cite this article as:
Nachtergaele, B., Raz, H., Schlein, B. et al. Commun. Math. Phys. (2009) 286: 1073. doi:10.1007/s00220-008-0630-2

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.

Copyright information

© The Author(s) 2008

Authors and Affiliations

  • Bruno Nachtergaele
    • 1
  • Hillel Raz
    • 1
  • Benjamin Schlein
    • 2
  • Robert Sims
    • 3
  1. 1.Department of MathematicsUniversity of California at DavisDavisUSA
  2. 2.Institute of MathematicsUniversity of MunichMunichGermany
  3. 3.Faculty of MathematicsUniversity of ViennaViennaAustria