Abstract
Entanglement is a concept that has defied common sense since the discovery of quantum mechanics. Two particles are said to be entangled when the quantum state of each particle cannot be described independently, no matter how far apart in space and time the two particles are. We demonstrate experimentally that unpaired spins separated by several hundred ångström entangle through a collection of spin singlets made up of antiferromagnetic spin-1/2 chains in a bulk material. Low-temperature magnetization and specific heat studies as a function of magnetic field reveal the occurrence of very dilute spin dimers and at least two quantum phase transitions related to the breaking of excited local triplets. The mechanism at the origin of the unpaired spins inside the quantum chains is the inter-modulation potential between two sublattices, and may be replicated using well-designed synthetic multilayers.
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Acknowledgements
We acknowledge the support of the European Community Research Infrastructures under the FP7 Capacities Specific Program, MICROKELVIN project number 228464.
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The idea was born out of discussion between J.E.L. and S.S. Samples came from V.S., C.M. and A.R. The magnetization experiment was carried out by C.P., the specific heat experiment was carried out by G.R. and S.S. and the inelastic-neutron-scattering experiment was carried out on the three-axis spectrometer IN12 at ILL, Grenoble, by J.E.L., L.P.R. and S.R. The data were analysed by S.S. and J.E.L. Finally J.E.L. wrote the manuscript with input from all the authors.
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Sahling, S., Remenyi, G., Paulsen, C. et al. Experimental realization of long-distance entanglement between spins in antiferromagnetic quantum spin chains. Nature Phys 11, 255–260 (2015). https://doi.org/10.1038/nphys3186
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DOI: https://doi.org/10.1038/nphys3186
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