Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published January 2019 | Submitted + Published
Journal Article Open

Universal eigenstate entanglement of chaotic local Hamiltonians

Huang, Yichen

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

Files

1-s2.0-S0550321318302608-main.pdf
Files (637.7 kB)
Name Size Download all
md5:15db945dad7a09a765303e05722bb50b
330.1 kB Preview Download
md5:78754cc5829923bee3ab65094d725b5c
307.6 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 18, 2023