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  • Letter
  • Open Access

From entanglement certification with quench dynamics to multipartite entanglement of interacting fermions

Ricardo Costa de Almeida and Philipp Hauke

  • INO-CNR BEC Center and Department of Physics, University of Trento, Via Sommarive 14, I-38123 Trento, Italy; Kirchhoff Institute for Physics, Ruprecht Karl University of Heidelberg, Im Neuenheimer Feld 227, D-69120 Heidelberg, Germany; and Institute for Theoretical Physics, Ruprecht Karl University of Heidelberg, Philosophenweg 16, D-69120 Heidelberg, Germany

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Phys. Rev. Research 3, L032051 – Published 24 August, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L032051

Abstract

Multipartite entanglement, such as witnessed through the quantum Fisher information (QFI), is a crucial resource for quantum technologies, but its experimental certification is highly challenging. Here, we propose an experimentally friendly protocol to measure the QFI. It relies on recording the short-time dynamics of simple observables after a quench from a thermal state, works for spins, bosons, and fermions, and can be implemented in standard cold-atom experiments and other platforms with temporal control over the system Hamiltonian. To showcase the protocol, we simulate it for the one-dimensional Fermi-Hubbard model. Further, we establish a family of bounds connecting the QFI to multipartite mode entanglement for fermionic systems, which enable the detection of multipartite entanglement at sizable temperatures. Our work paves a way to experimentally accessing entanglement for quantum enhanced metrology.

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Outline

Information

Phys. Rev. Research 3, L032051– Published 24 August, 2021
  • Received 3 June 2020
  • Revised 26 January 2021
  • Accepted 1 June 2021
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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.

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