Quantifying and Controlling Entanglement in the Quantum Magnet

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

doi:10.1103/PhysRevLett.127.037201

Quantifying and Controlling Entanglement in the Quantum Magnet

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

Materials Theory

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

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 , a close realization of the transverse-field 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. 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.

Original language	English
Article number	037201
Journal	Physical Review Letters
Volume	127
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.127.037201
State	Published - Jul 16 2021

Funding

The research by P. L., S. O., and G. A. was supported by the scientific Discovery through Advanced Computing (SciDAC) program funded by U.S. Department of Energy, Office of Science, Advanced Scientific Computing Research and Basic Energy Sciences, Division of Materials Sciences and Engineering. G. A. was in part supported by the ExaTN ORNL LDRD. The work by D. A. T. is supported by the Quantum Science Center (QSC), a National Quantum Information Science Research Center of the U.S. Department of Energy (DOE). A. S. was supported by the DOE Office of Science, Basic Energy Sciences, Scientific User Facilities Division. Software development has been partially supported by the Center for Nanophase Materials Sciences, which is a DOE Office of Science User Facility. R. C. acknowledges support from the European Research Council under the European Union Horizon 2020 Research and Innovation Programme via Grant Agreement No. 788814-EQFT. U.S. Department of Energy Office of Science Advanced Scientific Computing Research Division of Materials Sciences and Engineering Oak Ridge National Laboratory Quantum Science Center Center for Nanophase Materials Sciences European Research Council Horizon 2020 Framework Programme

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abstract = "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 , a close realization of the transverse-field 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. 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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AU - Enderle, Mechtild

AU - Tylczynski, Zbigniew

AU - Okamoto, Satoshi

AU - Coldea, Radu

AU - Tennant, D. Alan

AU - Alvarez, Gonzalo

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Quantifying and Controlling Entanglement in the Quantum Magnet

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