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.
Suppose that the input data consist of lattice wavefunction snapshots ψ𝑗(𝑡), or their discretized continuum analogues
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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.