IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v483y2017icp280-292.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117303060
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.04.007?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jiang, Min & Li, Hui & Zhang, Zeng-ke & Zeng, Jia, 2011. "Faithful teleportation of multi-particle states involving multi spatially remote agents via probabilistic channels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 760-768.
    2. Mzaouali, Zakaria & El Baz, Morad, 2019. "Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 119-130.
    3. Candice C Howarth & Polyvios Polyviou, 2012. "Sustainable travel behaviour and the widespread impacts on the local economy," Local Economy, London South Bank University, vol. 27(7), pages 764-781, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:483:y:2017:i:c:p:280-292. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.