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Quantum entanglement in the anisotropic Heisenberg model with multicomponent DM and KSEA interactions

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Abstract

Using group-theoretical approach, we found a family of four nine-parameter quantum states for the two-spin-1/2 Heisenberg system in an external magnetic field and with multiple components of Dzyaloshinsky–Moriya (DM) and Kaplan–Shekhtman–Entin–Wohlman–Aharony (KSEA) interactions. Exact analytical formulas are derived for the entanglement of formation for the quantum states found. The influence of DM and KSEA interactions on the behavior of entanglement and on the shape of disentangled region is studied. A connection between the two-qubit quantum states and the reduced density matrices of many-particle systems is discussed.

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Notes

  1. A centrosymmetric matrix is a matrix which is symmetric about its center. The entries of such a matrix \(n\times n\) satisfy the relations \(a_{i,j}=a_{n+1-i,n+1-j}\) with \(i,j=1,\ldots ,n\). The properties of CS matrices are described in [41,42,43].

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Acknowledgements

This work was performed as a part of the program CITIS # AAAA-A19-119071190017-7.

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  1. Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, Moscow Region, Russia, 142432

    A. V. Fedorova & M. A. Yurischev

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  1. A. V. Fedorova
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Fedorova, A.V., Yurischev, M.A. Quantum entanglement in the anisotropic Heisenberg model with multicomponent DM and KSEA interactions. Quantum Inf Process 20, 169 (2021). https://doi.org/10.1007/s11128-021-03113-0

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