Density of States of Quantum Spin Systems from Isotropic Entanglement

Abstract

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.

4+ pages, content is as in the published version

References in corpus (3)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Tensor-entanglement renormalization group approach to 2D quantum systems
• Computational Difficulty of Computing the Density of States

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