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Quantum information approach to the azurite mineral frustrated quantum magnet

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Abstract

Quantum correlations are almost impossible to address in bulk systems. Quantum measures extended only to a few number of parties can be discussed in practice. In the present work, we study nonlocality for a cluster of spins belonging to a mineral whose structure is that of a quantum magnet. We reproduce at a much smaller scale the experimental outcomes, and then, we study the role of quantum correlations there. A macroscopic entanglement witness has been introduced in order to reveal nonlocal quantum correlations between individual constituents of the azurite mineral at nonzero temperatures. The critical point beyond which entanglement is zero is found at \(T_c < 1\,\mathrm{K}\).

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Acknowledgments

J. Batle acknowledges fruitful discussions with J. Rosselló, Maria del Mar Batle and Regina Batle. R. O. acknowledges support from High Impact Research MoE Grant UM.C/625/1/HIR/MoE/CHAN/04 from the Ministry of Education Malaysia.

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Authors and Affiliations

  1. Departament de Física, Universitat de les Illes Balears, 07122, Palma de Mallorca, Balearic Islands, Spain

    J. Batle

  2. Department of Physics, University of Malaya, 50603, Kuala Lumpur, Malaysia

    C. H. Raymond Ooi

  3. Department of Physics, Faculty of Science, Al Faisaliah Campus, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia

    M. Abutalib

  4. Information Technology Department, Al-Zahra College for Women, P.O. Box 3365, Muscat, Oman

    Ahmed Farouk

  5. Department of Physics, Faculty of Science, King Abdulaziz University Jeddah, P.O. Box 80203, Jeddah, 21589, Kingdom of Saudi Arabia

    S. Abdalla

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  1. J. Batle
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  2. C. H. Raymond Ooi
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  3. M. Abutalib
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  4. Ahmed Farouk
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Correspondence to J. Batle.

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Batle, J., Ooi, C.H.R., Abutalib, M. et al. Quantum information approach to the azurite mineral frustrated quantum magnet. Quantum Inf Process 15, 2839–2850 (2016). https://doi.org/10.1007/s11128-016-1317-9

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  • DOI: https://doi.org/10.1007/s11128-016-1317-9

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