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)
Sven Bachmann, Wojciech De Roeck, Martin Fraas, Adiabatic Theorem for Quantum Spin Systems, Phys. Rev. Lett. 119 (2017) 060201 (doi:10.1103/PhysRevLett.119.060201)
Sven Bachmann, Wojciech De Roeck, Martin Fraas, The adiabatic theorem in a quantum many-body setting, in: Analytic Trends in Mathematical Physics, Contemporary Mathematics 741 (2020) 43-58 (arXiv:1808.09985, ISBN:978-1-4704-5388-6)
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