nLab Bruno Nachtergaele

Bruno Leo Zulma Nachtergaele

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Selected writings

On the quantum adiabatic theorem in condensed matter theory with an eye towards topological phases of matter:

• Sven Bachmann, Spyridon Michalakis, Bruno Nachtergaele, Robert Sims, Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems, Commun. Math. Phys. 309 (2012) 835-871 (arXiv:1102.0842, doi:10.1007/s00220-011-1380-0)

On topological phases (i.e. gapped ground states) of spin chains:

• Houssam Abdul-Rahman, Marius Lemm, Angelo Lucia, Bruno Nachtergaele, Amanda Young, A class of two-dimensional AKLT models with a gap, in: Analytic Trends in Mathematical Physics, Contemporary Mathematics 741, AMS (2020) [arXiv:1901.09297, doi:10.1090/conm/741/14917]

Discussion of anyon fusion categories via DHR theory/algebraic quantum field theory:

• Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele: On the stability of charges in infinite quantum spin systems, Commun. Math. Phys. 373 (2020) 219–264 [doi:10.1007/s00220-019-03630-1, arXiv:1804.03203]

category: people