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

• Main Authors: Bru, J.-B (Author), de Siqueira Pedra, W. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematical Physics, 13
• Subjects: Physics.; Functional analysis.; Mathematical physics.; Condensed matter.; Quantum computers.; Spintronics.; Mathematical Methods in Physics.; Mathematical Physics.; Functional Analysis.; Condensed Matter Physics.; Quantum Information Technology, Spintronics.

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...

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.