418 citations · 2.2k across the 78 of their papers we have counts for
4 papers · 2 filters
Ferromagnetic Ordering of Energy Levels for Symmetric Spin Chains
Bruno Nachtergaele, Stephen Ng, Shannon Starr
We consider the class of quantum spin chains with arbitrary -invariant nearest neighbor interactions, sometimes called for the quantum defo…
Lieb-Robinson Bounds and Existence of the Thermodynamic Limit for a Class of Irreversible Quantum Dynamics
Bruno Nachtergaele, Anna Vershynina, Valentin A. Zagrebnov
We prove Lieb-Robinson bounds and the existence of the thermodynamic limit for a general class of irreversible dynamics for quantum lattice systems with time-dependent generators t…
Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems
Sven Bachmann, Spyridon Michalakis, Bruno Nachtergaele +1
Gapped ground states of quantum spin systems have been referred to in the physics literature as being `in the same phase' if there exists a family of Hamiltonians H(s), with finite…
Much Ado About Something: Why Lieb-Robinson bounds are useful
Bruno Nachtergaele, Robert Sims
This is a short review on the applications of Lieb-Robinson bounds for a general readership of mathematical physicists.