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Behavior of quantum discord, local quantum uncertainty, and local quantum Fisher information in two-spin-1/2 Heisenberg chain with DM and KSEA interactions

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Abstract

A two-qubit Heisenberg XYZ model with Dzyaloshinsky–Moriya (DM) and Kaplan–Shekhtman–Entin-Wohlman–Aharony (KSEA) interactions is considered at thermal equilibrium. Analytical formulas are derived for the local quantum uncertainty (LQU) and local quantum Fisher information (LQFI). Using the available expressions for the entropic quantum discord, we perform a comparative study of these measures of nonclassical correlation. Our analysis showed the following: all three measures of quantum correlation have similar qualitative and even quantitative behavior on temperature for different values of system parameters, there are regions in the parameter space correspondent to a local increase of correlations with increasing temperature, and sudden changes in the behavior of quantum correlations occur at certain values of the interaction parameters.

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Notes

  1. Earlier, a similar definition was proposed by Everett for the canonical correlation [10].

  2. Note that the expressions for the density matrix elements and partition function, Eqs. (23) and (24) in Ref. [51], contain errors.

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Acknowledgements

This work was supported by the program CITIS # AAAA-A19-119071190017-7.

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

    A. V. Fedorova & M. A. Yurischev

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Fedorova, A.V., Yurischev, M.A. Behavior of quantum discord, local quantum uncertainty, and local quantum Fisher information in two-spin-1/2 Heisenberg chain with DM and KSEA interactions. Quantum Inf Process 21, 92 (2022). https://doi.org/10.1007/s11128-022-03427-7

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