Eigenstate entanglement in the Sachdev-Ye-Kitaev model
High Energy Physics - Theory
2020-04-02 v2 Statistical Mechanics
Strongly Correlated Electrons
Quantum Physics
Abstract
We study the entanglement entropy of eigenstates (including the ground state) of the Sachdev-Ye-Kitaev model. We argue for a volume law, whose coefficient can be calculated analytically from the density of states. The coefficient depends on not only the energy density of the eigenstate but also the subsystem size. Very recent numerical results of Liu, Chen, and Balents confirm our analytical results.
Keywords
Cite
@article{arxiv.1709.09160,
title = {Eigenstate entanglement in the Sachdev-Ye-Kitaev model},
author = {Yichen Huang and Yingfei Gu},
journal= {arXiv preprint arXiv:1709.09160},
year = {2020}
}