Published August 15, 2019
| Published + Submitted
Journal Article
Open
Eigenstate entanglement in the Sachdev-Ye-Kitaev model
- Creators
- Huang, Yichen
-
Gu, Yingfei
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 et al. confirm our analytical results.
Additional Information
© 2019 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3. Received 30 May 2018; published 2 August 2019. We would like to thank Xiao-Liang Qi for pointing out Lemma 1. Y. H. acknowledges funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant No. PHY-1733907). Y. H. is also supported by NSF DMR-1654340. Y. G. is supported by the Gordon and Betty Moore Foundation EPiQS Initiative through Grant No. GBMF-4306.Attached Files
Published - PhysRevD.100.041901.pdf
Submitted - 1709.09160.pdf
Files
PhysRevD.100.041901.pdf
Files
(315.4 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:ca824b79d5032688acabe7180fa0e650
|
156.6 kB | Preview Download |
|
md5:63cdc5f5f3e0a31d38c9ad259567cd4e
|
158.8 kB | Preview Download |
Additional details
- Eprint ID
- 97627
- Resolver ID
- CaltechAUTHORS:20190805-081806167
- Institute for Quantum Information and Matter (IQIM)
- NSF
- PHY-1733907
- NSF
- DMR-1654340
- Gordon and Betty Moore Foundation
- GBMF-4306
- SCOAP3
- Created
-
2019-08-05Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter