Density of States of Quantum Spin Systems from Isotropic Entanglement
Name
Movassagh-2011-Density of States of Quantum Spin Systems from Isotropic.pdf
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Author(s)
Movassagh, Ramis
Edelman, Alan
Date Issued
August 2011
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
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.
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.107.097205
