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Thermal Entanglement in 2 × 3 Heisenberg Chains via Distance Between States

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Abstract

Most of the work involving entanglement measurement focuses on systems that can be modeled by two interacting qubits. This is due to the fact that there are few studies presenting entanglement analytical calculations in systems with spins s > 1/2. In this paper, we present for the first time an analytical way of calculating thermal entanglement in a dimension 2 ⊗ 3 Heisenberg chain through the distance between states. We use the Hilbert-Schmidt norm to obtain entanglement. The result obtained can be used to calculate entanglement in chains with spin-1/2 coupling with spin-1, such as ferrimagnetic compounds as well as compounds with dimer-trimer coupling.

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Acknowledgements

The author thank Prof. Daniel H.T. Franco for critically examining the paper and giving very valuable feedback.

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  1. Centro Federal de Educação Tecnológica de Minas Gerais, 37250-000, Nepomuceno, MG, Brazil

    Saulo L. L. Silva

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  1. Saulo L. L. Silva
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Silva, S.L.L. Thermal Entanglement in 2 × 3 Heisenberg Chains via Distance Between States. Int J Theor Phys 60, 3861–3867 (2021). https://doi.org/10.1007/s10773-021-04944-4

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