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Dynamical pairwise entanglement and two-point correlations in the three-ligand spin-star structure

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  • Motamedifar, M.

Abstract

We consider the three-ligand spin-star structure through homogeneous Heisenberg interactions (XXX-3LSSS) in the framework of dynamical pairwise entanglement. It is shown that the time evolution of the central qubit “one-particle” state (COPS) brings about the generation of quantum W states at periodical time instants. On the contrary, W states cannot be generated from the time evolution of a ligand “one-particle” state (LOPS). We also investigate the dynamical behavior of two-point quantum correlations as well as the expectation values of the different spin-components for each element in the XXX-3LSSS. It is found that when a W state is generated, the same value of the concurrence between any two arbitrary qubits arises from the xx and yy two-point quantum correlations. On the opposite, zz quantum correlation between any two qubits vanishes at these time instants.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:483:y:2017:i:c:p:280-292
    DOI: 10.1016/j.physa.2017.04.007
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    References listed on IDEAS

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    1. Soltani, M.R. & Vahedi, J. & Mahdavifar, S., 2014. "Quantum correlations in the 1D spin-1/2 Ising model with added Dzyaloshinskii–Moriya interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 321-330.
    2. Guo, Jin-Liang & Song, He-Shan, 2009. "Pairwise entanglement of a three-qubit Heisenberg XY chain in a nonuniform magnetic field with intrinsic decoherence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2254-2261.
    3. Fumani, Fatemeh Khastehdel & Nemati, Somayyeh & Mahdavifar, Saeed & Darooneh, Amir Hosein, 2016. "Magnetic entanglement in spin-1/2 XY chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 256-263.
    4. Li, Chun-Xian & Wang, Cheng-Zhi & Lin, Xiu-Min & Guo, Guang-Can, 2006. "Thermal entanglement versus mixture in a spin chain: Generation of maximally entangled mixed states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 430-440.
    5. An, Jun-Hong & Wang, Shun-Jin & Luo, Hong-Gang, 2007. "Entanglement dynamics of qubits in a common environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 753-764.
    6. Mahmoudi, M. & Mahdavifar, S. & Soltani, M.R., 2016. "Effect of the Dzyaloshinskii–Moriya interaction on the propagation velocity of the entanglement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 176-182.
    7. Şahintaş, Alev & Akyüz, Cenk, 2016. "Entanglement in a four qubit J1–J2 Heisenberg XXZ system with Dzialoshinskii–Moriya interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 10-20.
    8. Gebremariam, Tesfay & Li, Wenlin & Li, Chong, 2016. "Dynamics of quantum correlation of four qubits system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 437-442.
    9. Wang, Ting & Wang, Xiaoguang & Sun, Zhe, 2007. "Entanglement oscillations in open Heisenberg chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 316-324.
    10. Cao, Zhuo-Liang & Song, Wei, 2005. "Teleportation of a two-particle entangled state via W class states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 177-183.
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    Cited by:

    1. 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).

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