Density of States of Quantum Spin Systems from Isotropic Entanglement

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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4+ pages, content is as in the published version

Scientific paper

We propose a method which we call "Isotropic Entanglement" (IE), that predicts the eigenvalue distribution of quantum many body (spin) systems (QMBS) with generic interactions. We interpolate between two known approximations by matching fourth moments. Though, such problems can be QMA-complete, our examples show that IE provides an accurate picture of the spectra well beyond what one expects from the first four moments alone. We further show that the interpolation is universal, i.e., independent of the choice of local terms.

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