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Dissipative Time Evolution of Entanglement in the Tetrahedral Structure of Spins \(s = \frac{1}{2}\) - a Numerical Analysis

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Abstract

The paper covers the analysis conducted to determine the effect, in terms of entanglement concurrence, of supplementing the tetrahedral spin \(s = \frac{1}{2}\) structure with additional central spin. The investigation is conducted with assumption that the system is coupled with the environment of Markovian nature. This work contains a comparison between three stuctures (unsupplemented, supplemented with spin \(s = \frac{1}{2}\) and supplemented with spin \(S = 1\)), with various exchange interaction parameters, taking into account also Dzyaloshinskii - Moriya (DM) and Kaplan - Shekhtman - Entin-Wohlman - Aharony (KSEA) interactions. The investigation reveals that by manipulating the anisotropy of the exchange interactions and DM coefficient, the effect of higher initial entanglement in supplemented structures can be obtained for particular initial states.

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Authors and Affiliations

  1. Institute of Physics, College of Natural Sciences, University of Rzeszow, Pigonia 1, Rzeszow, 35-310, Poland

    Michał Kaczor

  2. Doctoral School of the University of Rzeszow, University of Rzeszow, Rejtana 16C, Rzeszow, 35-959, Poland

    Michał Kaczor

  3. Materials Spectroscopy Laboratory, Institute of Physics, University of Rzeszow, Pigonia 1, Rzeszow, 35-310, Poland

    Aleksandra Stasik

Authors
  1. Michał Kaczor
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  2. Aleksandra Stasik
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Contributions

M.K. formulated the idea, proposed the model, conducted the theoretical and numerical analysis and wrote the original draft; A.S. prepared the visualization of obtained data and supervised the numerical methods; both author reviewed the manuscript and discussed the results.

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Correspondence to Michał Kaczor.

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Kaczor, M., Stasik, A. Dissipative Time Evolution of Entanglement in the Tetrahedral Structure of Spins \(s = \frac{1}{2}\) - a Numerical Analysis. Int J Theor Phys 63, 63 (2024). https://doi.org/10.1007/s10773-024-05606-x

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