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Intrinsic and extrinsic geometries of correlated many-body states

Intrinsic and extrinsic geometries of correlated many-body states

We explore two approaches to characterize the quantum geometry of the ground state of correlated fermions in terms of the distance matrix in the spectral parameter space. (a) An intrinsic geometry approach, in which we study the intrinsic curvature defined in terms of the distance matrix, and (b) an extrinsic …