Quantifying and Controlling Entanglement in the Quantum Magnet Cs2CoCl4

Laurell, Pontus; Scheie, Allen; Mukherjee, Chiron J.; Koza, Michael M.; Enderle, Mechtild; Tylczynski, Zbigniew; Okamoto, Satoshi; Coldea, Radu; Tennant, D. Alan; Alvarez, Gonzalo

doi:10.1103/physrevlett.127.037201

Title: Quantifying and Controlling Entanglement in the Quantum Magnet Cs₂CoCl₄

Journal Article · 12 July 2021 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.127.037201 · OSTI ID:1810008

^[1];

^[2]; Mukherjee, Chiron J. ^[3];

^[4]; Enderle, Mechtild ^[4]; Tylczynski, Zbigniew ^[5];

^[2]; Coldea, Radu ^[6];

^[7]; Alvarez, Gonzalo ^[1]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Drew School, San Francisco, CA (United States); Univ. of Oxford (United Kingdom). Clarendon Lab.
Inst. Laue-Langevin, Grenoble (France)
Adam Mickiewicz Univ., Poznan (Poland)
Univ. of Oxford (United Kingdom). Clarendon Lab.
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Shull-Wollan Center

The lack of methods to experimentally detect and quantify entanglement in quantum matter impedes our ability to identify materials hosting highly entangled phases, such as quantum spin liquids. We thus investigate the feasibility of using inelastic neutron scattering (INS) to implement a model-independent measurement protocol for entanglement based on three entanglement witnesses: one-tangle, two-tangle, and quantum Fisher information (QFI). We perform high-resolution INS measurements on Cs₂CoCl₄, a close realization of the S = 1/2 transverse-field XXZ spin chain, where we can control entanglement using the magnetic field, and compare with density-matrix renormalization group calculations for validation. The three witnesses allow us to infer entanglement properties and make deductions about the quantum state in the material. Overall, we find QFI to be a particularly robust experimental probe of entanglement, whereas the one and two-tangles require more careful analysis. Our results lay the foundation for a general entanglement detection protocol for quantum spin systems.

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

Sponsoring Organization:: European Research Council (ERC); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1810008

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 3 Vol. 127; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Quantifying and Controlling Entanglement in the Quantum Magnet Cs2CoCl4

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Title: Quantifying and Controlling Entanglement in the Quantum Magnet Cs₂CoCl₄