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Entanglement dynamics and fractional quantum state transport in the spin-12 triangular plaquette

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  • Motamedifar, Mostafa

Abstract

The dramatic growth of research areas within the province of quantum state transmission (QST) is rapidly accelerating. An important insight to understand the process of QST can be fulfilled by considering the dynamical behavior of its entanglement content. One well-established approach to continuously transfer quantum states is utilizing spin structures. Here, from the view of entanglement propagation, we disclose the signature of fractional QST possibilities. In the present work, we proposed a form of spin-12 triangular plaquette whose Hamiltonian entails Heisenberg interaction on the legs and Dzyaloshinskii–Moriya type of coupling over the rungs. The feature of such a system is that the time instants of QST emerge in a discrete fashion, thereby the values of exchange interactions associated with these moments behave fractionally. Importantly, it is found that for special values of magnetic interaction, QST has singularity i.e., the entanglement propagation is forbidden for such values. In addition, the finite-size nature of this system makes it possible for us to read the nexus between time crystallinity and symmetry breaking. The development of our knowledge about time crystalline symmetry and its breaking helps us to understand the defined concept and fundamental physics of this phenomenon.

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  • Motamedifar, Mostafa, 2021. "Entanglement dynamics and fractional quantum state transport in the spin-12 triangular plaquette," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    • Handle: RePEc:eee:phsmap:v:568:y:2021:i:c:s0378437121000170
    DOI: 10.1016/j.physa.2021.125745
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    1. Wang, Zhao-Ming & Shao, Bin & Chang, Ping & Zou, Jian, 2008. "Quantum state transfer in a Heisenberg XY chain with energy current," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2197-2204.
    2. M. Motamedifar & S. Mahdavifar & S. Farjami Shayesteh, 2011. "The quantum compass chain in a transverse magnetic field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 83(2), pages 181-189, September.
    3. Motamedifar, M., 2017. "Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 280-292.
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