Multipartite Entanglement Structure in the Eigenstate Thermalization Hypothesis

Marlon Brenes, Silvia Pappalardi, John Goold, and Alessandro Silva
Phys. Rev. Lett. 124, 040605 – Published 31 January 2020
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Abstract

We study the quantum Fisher information (QFI) and, thus, the multipartite entanglement structure of thermal pure states in the context of the eigenstate thermalization hypothesis (ETH). In both the canonical ensemble and the ETH, the quantum Fisher information may be explicitly calculated from the response functions. In the case of the ETH, we find that the expression of the QFI bounds the corresponding canonical expression from above. This implies that although average values and fluctuations of local observables are indistinguishable from their canonical counterpart, the entanglement structure of the state is starkly different; with the difference amplified, e.g., in the proximity of a thermal phase transition. We also provide a state-of-the-art numerical example of a situation where the quantum Fisher information in a quantum many-body system is extensive while the corresponding quantity in the canonical ensemble vanishes. Our findings have direct relevance for the entanglement structure in the asymptotic states of quenched many-body dynamics.

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  • Received 23 September 2019

DOI:https://doi.org/10.1103/PhysRevLett.124.040605

© 2020 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsStatistical Physics & ThermodynamicsCondensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Marlon Brenes1,*, Silvia Pappalardi2,3,†, John Goold1, and Alessandro Silva2

  • 1Department of Physics, Trinity College Dublin, Dublin 2, Ireland
  • 2SISSA, Via Bonomea 265, I-34135 Trieste, Italy
  • 3ICTP, Strada Costiera 11, I-34151 Trieste, Italy

  • *brenesnm@tcd.ie
  • spappala@sissa.it

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Issue

Vol. 124, Iss. 4 — 31 January 2020

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