Published January 2019
| Submitted + Published
Journal Article
Open
Universal eigenstate entanglement of chaotic local Hamiltonians
- Creators
- Huang, Yichen
Chicago
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Abstract
In systems governed by "chaotic" local Hamiltonians, we conjecture the universality of eigenstate entanglement (defined as the average entanglement entropy of all eigenstates) by proposing an exact formula for its dependence on the subsystem size. This formula is derived from an analytical argument based on a plausible assumption, and is supported by numerical simulations.
Additional Information
© 2018 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. Received 22 June 2018; received in revised form 17 September 2018; accepted 18 September 2018. We would like to thank Fernando G.S.L. Brandão and Xiao-Liang Qi for interesting discussions and Anatoly Dymarsky for insightful comments. We acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant PHY-1733907). Additional funding support was provided by NSF DMR-1654340. After this paper appeared on arXiv, we became aware of a simultaneous work [54] and a slightly later one [39].Attached Files
Published - 1-s2.0-S0550321318302608-main.pdf
Submitted - 1708.08607.pdf
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Additional details
- Eprint ID
- 90188
- Resolver ID
- CaltechAUTHORS:20181009-103946710
- Institute for Quantum Information and Matter (IQIM)
- NSF
- PHY-1733907
- NSF
- DMR-1654340
- SCOAP3
- Created
-
2018-10-10Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter