Research

Bruno Nachtergaele's general research area is Mathematical Physics. He works on a variety of problems in equilibrium and non-equilibrium statistical mechanics. His current interests include ground states and dynamics of quantum spin systems, stability and low-lying excitations of quantum interfaces, hydrodynamic limits of quantum many-body systems, and properties of the dynamics of quantum lattice systems. Applications are found in Condensed Matter Physics, Nanotechnology, and Quantum Information Theory and Quantum Computation.

Publications since 1997 in arXiv.
Publication reviewed in Math Reviews.
A PDF file with my publication list.

An annotated bibliography on the Heisenberg and related models compiled by Tom Kennedy and Bruno Nachtergaele:The Heisenberg Model Bibliography.

This research is supported by the National Science Foundation under the following grants:

DMS 1515850: Dynamics, Ground States, and Elementary Excitations of Quantum Many-Body Systems.
DMS 1009502: Dynamics and Ground States in Quantum Statistical Mechanics.
DMS 0757581: FRG: Collaborative Research: Quantum Spin Systems. Theory and Applications in Quantum Computation.
DMS 0605342: Equilibrium and Non-Equilibrium Quantum Statistical Mechanics.
DMS 0303316: Equilibrium and Non-Equilibrium Quantum Statistical Mechanics.
DMS 0070774: Quantum Statistical Mechanics of Lattice Systems.
DMS 9706599: Quantum Statistical Mechanics of Lattice Systems.

Other NSF grants:

DMS 0135345: Vertical Integration of Research and Education in the Mathematical Sciences - VIGRE: Research Focus Groups in Mathematics.
DMS 0306887: XIV International Congress on Mathematical Physics; July 28 - August 2, 2003; Lisbon, Portugal; Travel Funds.
DMS 0555031: U.S.-Brazil Workshop: XVth International Congress on Mathematical Physics, August 5 - August 11, 2006, Rio de Janeiro, Brazil.
DMS 0636297: EMSW21-VIGRE: Focus on Mathematics.
DMS 0855460: XVIth International Congress on Mathematical Physics, August 1 -- 8, 2009, Prague, Czech Republic.
DMS 1359558: The Mathematics of Quantum Theory.