Witnessing entanglement in quantum magnets using neutron scattering

Scheie, A.; Laurell, Pontus; Samarakoon, A. M.; Lake, B.; Nagler, S. E.; Granroth, G. E.; Okamoto, S.; Alvarez, G.; Tennant, D. A.

doi:10.1103/physrevb.103.224434

Title: Witnessing entanglement in quantum magnets using neutron scattering

Journal Article · Mon Jun 28 00:00:00 EDT 2021 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.103.224434· OSTI ID:1807249

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Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Helmholtz-Zentrum Berlin (HZB), (Germany). German Research Centre for Materials and Energy; Technische Univ. Berlin (Germany)

We demonstrate how quantum entanglement can be directly witnessed in the quasi-1D Heisenberg antiferromagnet KCuF₃. We apply three entanglement witnesses—one tangle, two tangle, and quantum Fisher information—to its inelastic neutron spectrum and compare with spectra simulated by finite-temperature density matrix renormalization group (DMRG) and classical Monte Carlo methods. We find that each witness provides direct access to entanglement. Of these, quantum Fisher information is the most robust experimentally and indicates the presence of at least bipartite entanglement up to at least 50 K, corresponding to around 10% of the spinon zone-boundary energy. We apply quantum Fisher information to higher spin-S Heisenberg chains and show theoretically that the witnessable entanglement gets suppressed to lower temperatures as the quantum number increases. Finally, we outline how these results can be applied to higher dimensional quantum materials to witness and quantify entanglement.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1807249

Journal Information:: Physical Review. B, Vol. 103, Issue 22; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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