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Abstract

This study uses spin coherent states to generate two- and three-partite entangled states. We then investigate the entanglement and correlation of these systems when one component undergoes uniform acceleration. The entanglement of bipartite and tripartite states is quantified using concurrence and 3-tangle, respectively, while the mutual entropy is used to evaluate the system correlation. The findings indicate that the entanglement and correlation decrease as a function of the acceleration parameter. Furthermore, a comparison of entanglement and mutual entropy reveals that the correlation of the bipartite system is predominantly manifested as entanglement. However, the quantum correlation of the tripartite system is of an entanglement type within a certain range of the coherence parameter, but outside this range, it transforms into a classical type.

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References

  1. J Aunretsch, Entangled systems (Wiley-VCH, Weinheim, 2007)

    Google Scholar

  2. A Einstein, B Podolsky and N Rosen, Phys. Rev. 47, 777 (1935)

    ADS Google Scholar

  3. C A Kocher and E D Commins, Phys. Rev. Lett. 18, 575 (1967)

    ADS Google Scholar

  4. B Hensen et alNature 526, 682 (2015)

    ADS Google Scholar

  5. K C Lee et alScience 334, 1253 (2011)

    ADS Google Scholar

  6. N Gisin, G Ribordy, W Tittel and H Zbinden, Rev. Mod. Phys74, 145 (2002)

    ADS Google Scholar

  7. C Bennett and S Wiesner, Phys. Rev. Lett69, 2881 (1992)

    ADS MathSciNet Google Scholar

  8. C Bennett, G Brassard, C Crépeau, R Jozsa, A Peres and W K Wootters, Phys. Rev. Lett70, 1895 (1993)

    ADS MathSciNet Google Scholar

  9. F T Arecchi, E Courtens, R Gilmore and H Thomas, Phys. Rev. A 6, 2211 (1972)

    ADS Google Scholar

  10. M Jafarpour and M Ashrafpour, Quantum Inf. Process12, 761 (2013)

    ADS MathSciNet Google Scholar

  11. G J Milburn and B C Sanders, Phys. Rev. A 62, 052108 (2000)

    ADS Google Scholar

  12. B C Sanders, Phys. Rev. A 45, 6811 (1992)

    ADS Google Scholar

  13. T C Ralph, A Gilchrist, G J Milburn, W J Munro and S Glancy, Phys. Rev. A 68, 042319 (2003)

    ADS Google Scholar

  14. H Jeong, M S Kim and J Lee, Phys. Rev. A 62, 052308 (2001)

    ADS Google Scholar

  15. X Wang, Phys. Rev. A 62, 022302 (2001)

    ADS Google Scholar

  16. D A Rice, G Jaeger and B C Sanders, Phys. Rev. A 62, 012101 (2000)

    ADS Google Scholar

  17. D Wilson, H Jeong and M S Kim, J. Mod. Opt49, 851 (2002)

    ADS Google Scholar

  18. H Jeong and M S Kim, Quantum Inf. Comput2, 208 (2002)

    MathSciNet Google Scholar

  19. M R Hwang, E Jung, D Park, Class. Quantum Gravity 29, 224004 (2012)

    ADS Google Scholar

  20. M D Noia1, F Giraldi and F Petruccione, J. Phys. A: Math. Theor50, 165302 (2017)

    ADS Google Scholar

  21. L Esmaeilifar, Z Harsij and B Mirza, Int. J. Theor. Phys58, 4152 (2019)

    Google Scholar

  22. Ariadna J Torres-Arenasa, Q Dong, G H Sun, W C Qiang and S H Dong, Phys. Lett. B 789, 93105 (2019)

    Google Scholar

  23. K Kim, M C Pak, O S An, U G Ri, M C Ko and N C Kim, Phys. Scr97, 075101 (2022)

    ADS Google Scholar

  24. H Wu and L Chen, Phys. Rev. D 107, 065006 (2023)

    ADS Google Scholar

  25. W G Unruh, Phys. Rev. D 14, 870 (1976)

    ADS Google Scholar

  26. Ø Grøn, Lecture Notes on the General Theory of Relativity. Lecture Notes in Physics (Springer, Berlin, 2009)

    Google Scholar

  27. P. M Alsing and G J Milburn, Quant. Inf. Comp2, 487 (2002)

    Google Scholar

  28. M Czachor and M Wilczewski, Phys. Rev. A 68, 010302 (2003)

    ADS Google Scholar

  29. B S DeWitt, Quantum gravity: The new synthesis, in: General relativity: An Einstein centenary survey (Cambridge University Press, Cambridge, 1979)

  30. M Ziman and V Bužek, Phys. Rev. A 72, 052325 (2005)

    ADS Google Scholar

  31. P M Alsing, I Fuentes-Schuller, R B Mann and T E Tessier, Phys. Rev. A 74, 032326 (2006)

    ADS Google Scholar

  32. S Hill and W K Wootters, Phys. Rev. Lett78, 5022 (1997)

    ADS Google Scholar

  33. William K Wootters, Phys. Rev. Lett80, 2245 (1998)

    ADS Google Scholar

  34. V Coffman, J Kundu and W K Wootters, Phys. Rev. A 61, 052306 (2000)

    ADS Google Scholar

  35. A Kumar, Phys. Rev. A 96, 012332 (2017)

    ADS Google Scholar

  36. I Bengtsson, K Zyczkowski, Geometry of quantum states: An introduction to quantum entanglement (Cambridge University Press, Cambridge, 2006)

    Google Scholar

  37. N Metwally, A Sagheer, Quantum Inf. Process13, 771 (2014)

    ADS MathSciNet Google Scholar

  38. Paul M Alsing and G J Milburn, Phys. Rev. Lett91 180404 (2003)

    ADS Google Scholar

  39. D Mcmahon, Quantum computing explained (Wiley, New York, 2007)

    Google Scholar

  40. Z-H Ma, Z-H Chen, J-L Chen, C Spengler, A Gabriel and M Huber, Phys. Rev. A 83, 062325 (2011)

    ADS Google Scholar

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Correspondence to Mehrzad Ashrafpour.

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Hamzehhofi, R., Ashrafpour, M. & Afshar, D. Quantum correlation of entangled spin-coherent states in non-inertial frames. Pramana – J Phys 99, 98 (2025). https://doi.org/10.1007/s12043-025-02940-5

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  • DOI  https://doi.org/10.1007/s12043-025-02940-5

Keywords

  • Quantum correlation
  • entanglement
  • spin-coherent states

PACS Nos.

  • 03.65.Ud
  • 03.65.Yz
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