Koopman-DMD reconstructs band dispersion, local density of states, inverse participation ratio, and quantum geometric properties including quantum metric and Berry curvature from data in tight-binding models including disordered, Floquet, and non-Hermitian variants.
Bott, An application of the Morse theory to the topology of Lie-groups, Bulletin de La Socié té Mathé matique de France 84, 251 (1956)
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Data-driven reconstruction of band dispersion and quantum geometry via Koopman dynamical mode decomposition
Koopman-DMD reconstructs band dispersion, local density of states, inverse participation ratio, and quantum geometric properties including quantum metric and Berry curvature from data in tight-binding models including disordered, Floquet, and non-Hermitian variants.