Lieb-Robinson Bounds for Multi-Commutators and Applications to Response Theory

Lieb-Robinson bounds for multi-commutators are effective mathematical tools to handle analytic aspects of infinite volume dynamics of non-relativistic quantum particles with short-range, possibly time-dependent interactions. In particular, the existence of fundamental solutions is shown for those (n...

Full description

Main Authors: Bru, J.-B. (Author, http://id.loc.gov/vocabulary/relators/aut), de Siqueira Pedra, W. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:SpringerBriefs in Mathematical Physics, 13
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-45784-0
Table of Contents:
  • Introduction
  • Algebraic Quantum Mechanics
  • Algebraic Setting for Interacting Fermions on the Lattice
  • Lieb–Robinson Bounds for Multi–Commutators
  • Lieb–Robinson Bounds for Non–Autonomous Dynamics
  • Applications to Conductivity Measures.