Density of States of Quantum Spin Systems from Isotropic Entanglement
Author(s)Movassagh, Ramis; Edelman, Alan
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We propose a method that we call isotropic entanglement (IE), which predicts the eigenvalue distribution of quantum many body (spin) systems with generic interactions. We interpolate between two known approximations by matching fourth moments. Though such problems can be QMA-complete, our examples show that isotropic entanglement 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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Physical Review Letters
American Physical Society
Movassagh, Ramis, and Alan Edelman. “Density of States of Quantum Spin Systems from Isotropic Entanglement.” Physical Review Letters 107.9, 097205 (2011)[4 pages].© 2011 American Physical Society.
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