Skip to main content
Log in

Entanglement in anisotropic expanding spacetime

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We study the effect of space anisotropy in the entanglement generated by expanding universe on spin 0 and 1/2 fields. For massive scalar field we find revivals of entanglement entropy vs. momentum after decreasing from the maximum at k = 0. In massive Dirac field the effect is a slight distortion of the non-monotonic profile giving rise to the maximum of entanglement entropy at k > 0. More interestingly, massless field of both type show that can only get entangled through anisotropy, with a maximum of entanglement entropy occurring at k > 0.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.L. Ball, I.F. Schuller, F.P. Schuller, Phys. Lett. A 359, 550 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  2. S. Moradi, R. Pierini, S. Mancini, Phys. Rev. D 89, 024022 (2014)

    Article  ADS  Google Scholar 

  3. E. Martin-Martinez, N.C. Menicucci, Class. Quantum Grav. 29, 224011 (2012)

    Article  ADS  Google Scholar 

  4. L. Parker, Phys. Rev. Lett. 21, 562 (1968)

    Article  ADS  Google Scholar 

  5. L. Parker, Phys. Rev. 183, 1057 (1969)

    Article  ADS  Google Scholar 

  6. L. Parker, Phys. Rev. D 3, 346 (1971)

    Article  ADS  Google Scholar 

  7. N.D. Birrell, P.C. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982)

  8. R.G. Cai, Y.Z. Ma, B. Tang, Z.L. Tuo, Phys. Rev. D 87, 123522 (2013)

    Article  ADS  Google Scholar 

  9. Z.Q. Sun, F.Y. Wang, Mon. Not. Roy. Astron. Soc. 478, 5153 (2018)

    Article  ADS  Google Scholar 

  10. B. Javanmardi, C. Porciani, P. Kroupa, J. Pflamm-Altemburg, Astrophys. J. 810, 47 (2015)

    Article  ADS  Google Scholar 

  11. Y.A. Zeldovich, A.A. Starobinski, Zh. Exp. Theor. Fiz. 61, 2161 (1971) [Sov. Phys. JETP 34, 1159 (1972)]

    ADS  Google Scholar 

  12. K.H. Lotze, Class. Quantum Grav. 3, 81 (1986)

    Article  ADS  Google Scholar 

  13. K.H. Lotze, Class. Quantum Grav. 2, 351 (1985)

    Article  ADS  Google Scholar 

  14. R. Pierini, S. Moradi, S. Mancini, Nucl. Phys. B 924, 684 (2017)

    Article  ADS  Google Scholar 

  15. R. Pierini, S. Moradi, S. Mancini, Int. J. Theor. Phys. 55, 3059 (2016)

    Article  Google Scholar 

  16. N.D. Birrell, P.C.W. Davies, J. Phys. A: Math. General 13, 2109 (1980)

    Article  ADS  Google Scholar 

  17. N.D. Birrell, Proc. R. Soc. Lond. A 367, 123 (1979)

    Article  ADS  Google Scholar 

  18. G. Mangano et al., Nucl. Phys. B 729, 221 (2005)

    Article  ADS  Google Scholar 

  19. R. Trotta, A. Melchiorri, Phys. Rev. Lett. 95, 011305 (2005)

    Article  ADS  Google Scholar 

  20. B. Follin, L. Knox, M. Millea, Z. Pan, Phys. Rev. Lett. 115, 091301 (2015)

    Article  ADS  Google Scholar 

  21. V. Mukhanov, Physical Foundation of Cosmology (Cambridge University Press, Cambridge, 2005)

  22. G. Ver Steeg, N.C. Menicucci, Phys. Rev. D 79, 044027 (2009)

    Article  ADS  Google Scholar 

  23. D. Rideout et al., Class. Quantum Grav. 29, 224011 (2012)

    Article  ADS  Google Scholar 

  24. I. Fuentes, R.B. Mann, E. Martin-Martinez, S. Moradi, Phys. Rev. D 82, 045030 (2010)

    Article  ADS  Google Scholar 

  25. S. Mancini, R. Pierini, M.M. Wilde, New J. Phys. 16, 123049 (2014)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stefano Mancini.

Additional information

Contribution to the Topical Issue “Quantum Correlations”, edited by Marco Genovese, Vahid Karimipour, Sergei Kulik, and Olivier Pfister.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pierini, R., Moradi, S. & Mancini, S. Entanglement in anisotropic expanding spacetime. Eur. Phys. J. D 73, 33 (2019). https://doi.org/10.1140/epjd/e2019-90463-y

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2019-90463-y

Navigation