418 citations · 2.2k across the 78 of their papers we have counts for
6 papers · 1 filter
Enrichment and aggregation of topological motifs are independent organizational principles of integrated interaction networks
Tom Michoel, Anagha Joshi, Bruno Nachtergaele +1
Topological network motifs represent functional relationships within and between regulatory and protein-protein interaction networks. Enriched motifs often aggregate into self-cont…
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…
Entropy rate calculations of algebraic measures
Katy Marchand, Jaideep Mulherkar, Bruno Nachtergaele
Let . We use a special class of translation invariant measures on called algebraic measures to study the entropy rate of a hidden Markov process…
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.