Quantum geometry of correlated many-body states
arXiv:1812.06368 · doi:10.1103/PhysRevB.98.235134
Abstract
We provide a definition of the quantum distances of correlated many fermion wave functions in terms of the expectation values of certain operators that we call exchange operators. We prove that the distances satisfy the triangle inequalities. We apply our formalism to the one-dimensional t-V model, which we solve numerically by exact diagonalisation. We compute the distance matrix and illustrate that it shows clear signatures of the metal-insulator transition.
arXiv comment11 pages, 8 figures. Manuscript accepted and to be published in Physical Review B
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