General Profile

Nachtergaele

Bruno Nachtergaele

Distinguished Professor
Mathematical physics
Ph.D. (in Physics), 1987, KU Leuven

Web Page: http://www.math.ucdavis.edu/~bxn/
Email: bnachtergaele@ucdavis.edu
Office: PDSB 2031

Publications:
Preferred listing: https://scholar.google.com/citations?user=7C_0NA4AAAAJ&hl=en
Math arXiv
AMS Math Reviews
Google Scholar

 

Research

Bruno Nachtergaele works in Mathematical Physics. His main interests are Equilibrium and Non-Equilibrium Statistical Mechanics, Quantum Spin Systems, Quantum Information, and applications of these fields in Condensed Matter Physics and Materials Science.

 

Selected publications

 

  1. Mark Fannes, Bruno Nachtergaele, and Andre' Verbeure, The equilibrium states of the Spin-Boson model, Comm. Math. Phys., 114(4): 537-548, 1988, full text.
  2. Mark Fannes, Bruno Nachtergaele, and Reinhard Werner, Finitely Correlated States on Quantum Spin Chains, Comm. Math. Phys. 144(3): 443-490, 1992, full text.
  3. Michael Aizenman and Bruno Nachtergaele, Geometric Aspects of Quantum Spin States, Commun. Math. Phys., 164: 17-63, 1994, full text.
  4. Elliott Lieb and Bruno Nachtergaele, "The Stability of the Peierls Instability for Ring-Shaped Molecules, " Phys. Rev. B, 51: 4777-4791, 1995, Math arXiv.9410100.
  5. Bruno Nachtergaele and Horng-Tzer Yau, "Derivation of the Euler Equations from Quantum Dynamics, " Commun. Math. Phys., 243: 485-540, 2003, Math arXiv.0209027.
  6. B. Nachtergaele and R. Sims, Lieb-Robinson Bounds and the Exponential Clustering Theorem, Commun. Math. Phys., 265, 119-130, 2006, arXiv:math-ph/0506030
  7. S. Bachmann, S. Michalakis, B. Nachtergaele and R. Sims, Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems, Commun. Math. Phys. 309, 835–871 (2012) arXiv:1102.0842
  8. M. Cha, P. Naaijkens, and B. Nachtergaele, On the stability of charges in infinite quantum spin systems, Commun. Math. Phys. 373, 219–264 (2020), arXiv:1804.03203
  9. B. Nachtergaele, R. Sims, and A. Young, Quasi-Locality Bounds for Quantum Lattice Sys- tems. Part I. Lieb-Robinson Bounds, Quasi-Local Maps, and Spectral Flow Automorphisms, J. Math. Phys. 60, 061101 (2019), arXiv:1810.02428
  10. B. Nachtergaele, S. Warzel and A. Young, Spectral Gaps and Incompressibility in a ν = 1/3 Fractional Quantum Hall System, Commun. Math. Phys. 83, 1093–1149 (2021), arXiv:2004.04992

 

Honors and Awards

  • 2021, Academia Chilena de Ciencias, Miembro Correspondiente en el extranjero
  • 2021, Carl Friedrich von Siemens Research Award, Humboldt Foundation
  • 2026, John von Neumann Guest Professor, Technical University Munich
  • 2012, Fellow of the American Mathematical Society
  • 2011, Senior Research Fellow, Erwin Schroedinger Institute for Mathematical Physics
  • 2007, Fellow of the American Association for the Advancement of Science
  • 2002, Invited Lecture International Congress of Mathematicians, Beijing

Last updated: 2023-10-17