Lieb-Robinson Bounds in Quantum Many-Body Physics

2010/04/13 by Bruno Nachtergaele, Robert Sims · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.str-el #math.MP #quant-ph #msc:82C10 #msc:82C20 #msc:81Q15 #msc:37K60 #msc:46L55

paper · pdf

published as "Entropy and the Quantum", Robert Sims and Daniel Ueltschi (Eds), Contemporary Mathematics, volume 529, American Mathematical Society (2010) pp 141-176 · Lecture Notes for the school "Entropy and the Quantum", 16-20 March 2009, Tucson, Arizona.

arxiv created 2010/04/13 · arxiv updated 2011/01/06

Abstract

We give an overview of recent results on Lieb-Robinson bounds and some of their applications in the study of quantum many-body models in condensed matter physics.

Cited by

• Reachability and optimal-time certificates for quantum control
• Non-stabilizerness generation in a multi-particle quantum walk

Related

• Locality in Quantum Systems
• Lieb-Robinson bounds with exponential-in-volume tails
• Speed limits and locality in many-body quantum dynamics
• Enhanced Lieb-Robinson bounds for commuting long-range interactions
• Direct methods to Lieb-Thirring kinetic inequalities