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Universal eigenstate entanglement of chaotic local Hamiltonians

Huang, Yichen (2019) Universal eigenstate entanglement of chaotic local Hamiltonians. Nuclear Physics B, 938 . pp. 594-604. ISSN 0550-3213. doi:10.1016/j.nuclphysb.2018.09.013.

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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.

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Additional Information:© 2018 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license ( 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].
Group:Institute for Quantum Information and Matter
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Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Record Number:CaltechAUTHORS:20181009-103946710
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Official Citation:Yichen Huang, Universal eigenstate entanglement of chaotic local Hamiltonians, Nuclear Physics B, Volume 938, 2019, Pages 594-604, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90188
Deposited By: Tony Diaz
Deposited On:10 Oct 2018 17:49
Last Modified:16 Nov 2021 03:30

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