World's Best Scientists 2026 revealed!

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2007 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Bruno Nachtergaele is affiliated with the University of California, Davis in the United States. Their research spans the field of Physics and Astronomy, with a primary focus on subfields including Atomic and Molecular Physics and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics, Geometry and Topology, and Electrical and Electronic Engineering.

The scientist's work focuses on topics such as quantum many-body systems, quantum and electron transport phenomena, physics of superconductivity and magnetism, quantum chaos and dynamical systems, cold atom physics and Bose-Einstein condensates, advanced condensed matter physics, and algebraic structures and combinatorial models.

Notable recent publications by Bruno Nachtergaele include:

  • Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States, 2020, arXiv (Cornell University)
  • Spectral Gaps and Incompressibility in a = 1/3 Fractional Quantum Hall System, 2021, Communications in Mathematical Physics
  • Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems, 2024, Letters in Mathematical Physics
  • Dispersive toric code model with fusion and defusion, 2020, Physical review. B./Physical review. B

Collaborators frequently working with Bruno Nachtergaele include Amanda Young, Simone Warzel, Robert Sims, Sven Bachmann, and Siddharth Vadnerkar.

The scientist has contributed multiple papers to various publication venues, most notably:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Letters in Mathematical Physics
  • Reviews in Mathematical Physics
  • Physical review. B./Physical review. B

Bruno Nachtergaele has also authored a book titled Mathematical Results in Quantum Mechanics, which is scheduled for publication in 2025 by World Scientific.

Among professional recognitions, the scientist was named a Fellow of the American Mathematical Society in 2013 and a Fellow of the American Association for the Advancement of Science (AAAS) in 2007.

Best Publications

  • Finitely correlated states on quantum spin chains

    Mark Fannes;B Nachtergaele;Rf Werner

  • Lieb-Robinson Bounds and the Exponential Clustering Theorem

    Bruno Nachtergaele;Robert Sims

  • Propagation of Correlations in Quantum Lattice Systems

    Bruno Nachtergaele;Yoshiko Ogata;Yoshiko Ogata;Robert Sims

  • Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems

    Sven Bachmann;Spyridon Michalakis;Bruno Nachtergaele;Robert Sims

  • Geometric aspects of quantum spin states

    Michael Aizenman;Bruno Nachtergaele

  • Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems

    Bruno Nachtergaele;Hillel Raz;Benjamin Schlein;Robert Sims

  • The spectral gap for some spin chains with discrete symmetry breaking

    Bruno Nachtergaele

  • The Spectral Gap of the Ferromagnetic XXZ-Chain

    Tohru Koma;Bruno Nachtergaele

  • Elementary Excitations in Gapped Quantum Spin Systems

    Jutho Haegeman;Spyridon Michalakis;Bruno Nachtergaele;Tobias J. Osborne

  • Finitely Correlated Pure States

    Mark Fannes;B Nachtergaele;Rf Werner

  • Lieb-Robinson Bounds in Quantum Many-Body Physics

    Bruno Nachtergaele;Robert Sims

  • A Multi-Dimensional Lieb-Schultz-Mattis Theorem

    Bruno Nachtergaele;Robert Sims

  • Alignment and integration of complex networks by hypergraph-based spectral clustering.

    Tom Michoel;Bruno Nachtergaele

  • Ground states of VBS models on cayley trees

    Mark Fannes;B Nachtergaele;Rf Werner

  • Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms

    Bruno Nachtergaele;Robert Sims;Amanda Young

  • The equilibrium states of the spin-boson model

    M. Fannes;B. Nachtergaele;A. Verbeure

  • Locality Estimates for Quantum Spin Systems

    Bruno Nachtergaele;Robert Sims

  • Abundance of translation invariant pure states on quantum spin chains

    Mark Fannes;B Nachtergaele;Rf Werner

  • The complete set of ground states of the ferromagnetic XXZ chains

    Tohru Koma;Bruno Nachtergaele

  • Localization Properties of the XY Spin Chain. A review of mathematical results with an eye toward Many-Body Localization

    Houssam Abdul-Rahman;Bruno Nachtergaele;Robert Sims;Günter Stolz

Frequent Co-Authors

Mark Fannes
Mark Fannes KU Leuven
Horng-Tzer Yau
Horng-Tzer Yau Harvard University
Jan Philip Solovej
Jan Philip Solovej University of Copenhagen
Benjamin Schlein
Benjamin Schlein University of Zurich
Elliott H. Lieb
Elliott H. Lieb Princeton University
Michael Aizenman
Michael Aizenman Princeton University
Nilanjana Datta
Nilanjana Datta University of Cambridge
Frank Verstraete
Frank Verstraete Ghent University
Yves Van de Peer
Yves Van de Peer Ghent University
Matilde Marcolli
Matilde Marcolli California Institute of Technology

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