Skip to main content
Log in

Entanglement and Spin Squeezing in the Evolution of a Resonant Field in a Kell-Like Medium

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We investigate entanglement and spin squeezing in the evolution of a resonant field in a Kell-like medium. With perturbation techniques, we first obtain the approximate analytical solution of the wave function, and then we further analytically and numerically calculate two mode entangled parameter and spin squeezing parameter. Its shows that the stronger entanglement and more squeezing may be achieved by increasing the coupling strength.

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.

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Einstein, A., Podolsky, B., Rosen, N.: Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Phys. Rev. 47, 777–780 (1935)

    Article  ADS  Google Scholar 

  2. Kitagawa, M., Ueda, M.: Squeezed spin states. Phys. Rev. A. 47, 5138–5143 (1993)

    Article  ADS  Google Scholar 

  3. Sørensen, A., Duan, L.M., Cirac, J.I., Zoller, P.: Many-particle entanglement with Bose–Einstein condensates. Nature. 409, 63–66 (2001)

    Article  ADS  Google Scholar 

  4. Wineland, D.J., Bollinger, J.J., Itano, W.M., Heinzen, D.J.: Squeezed atomic states and projection noise in spectroscopy. Phys. Rev. A. 50, 67–88 (1994)

    Article  ADS  Google Scholar 

  5. Jin, G.-R., Liu, Y.-C., Liu, W.-M.: Spin squeezing in a generalized one-axis twisting model. New J. Phys. 11, 073049 (2009)

    Article  ADS  Google Scholar 

  6. Wang, X., Sanders, B.C.: Spin squeezing and pairwise entanglement for symmetric multiqubit states. Phys. Rev. A. 68, 012101 (2003)

    Article  ADS  Google Scholar 

  7. Wang, X., Miranowicz, A., Liu, Y.-x., Sun, C.P., Nori, F.: Phys. Rev. A. 81, 022106 (2010)

    Article  ADS  Google Scholar 

  8. Santarelli, G., Laurent, P., Lemonde, P., Clairon, A.: Quantum Projection Noise in an Atomic Fountain: A High Stability Cesium Frequency Standard. Phys. Rev. Lett. 82, 4619–4622 (1999)

    Article  ADS  Google Scholar 

  9. Rudner, M.S., Vandersypen, L.M.K., Vuleti, V., Levitov, L.S.: Generating Entanglement and Squeezed States of Nuclear Spins in Quantum Dots. Phys. Rev. Lett. 107, 206806 (2011)

    Article  ADS  Google Scholar 

  10. Xia, K., Twamley, J.: Generating spin squeezing states and Greenberger-Horne-Zeilinger entanglement using a hybrid phonon-spin ensemble in diamond. Phys. Rev. B. 94, 205118 (2016)

    Article  ADS  Google Scholar 

  11. Polzik, E.S., Ye, J.: Phys. Rev. A. 93(R), 021404 (2016)

    Article  ADS  Google Scholar 

  12. Bhattacherjee, A., Sharma, D.: Enhanced spin squeezing and quantum entanglement near the critical point of the Jaynes–Cummings–Dicke model. Int. J. Mod. Phys. B. 31, 1750062 (2017)

    Article  ADS  Google Scholar 

  13. Abad, T., Mølmer, K., Karimipour, V.: Sequentially generated entanglement, macroscopicity, and squeezing in a spin chain. Phys. Rev. A. 96, 042337 (2017)

    Article  ADS  Google Scholar 

  14. Agarwal, G.S., Puri, R.R.: Collapse and revival phenomenon in the evolution of a resonant field in a Kerr-like medium. Phys. Rev. A. 39, 2969–2977 (1989)

    Article  ADS  Google Scholar 

  15. Sudheesh, C., Lakshmibala, S., Balakrishnan, V.: Wave packet dynamics of entangled two-mode states. J. Phys. B Atomic Mol. Phys. 39, 3345–3359 (2006)

    Article  ADS  Google Scholar 

  16. Butler, M., Drummond, P.D.: Squeezed States in a Cooperative Dicke System. Optica Acta: International Journal of Optics. 33, 1–5 (1986)

    Article  Google Scholar 

  17. Sergi, A., Zloshchastiev, K.G.: Non-hermitian quantum dynamics of a two-level system and models of dissipative environments. Int. J. Mod. Phys. B. 27, 1350163 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  18. Hillery, M., Zubairy, M.S.: Phys. Rev. Lett. 96, 050503 (2006)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Acknowledgements

We acknowledge support from the Science and Technology project of Jiangxi provincial Department of Education (No. GJJ180447).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhiyong Liu.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Z. Entanglement and Spin Squeezing in the Evolution of a Resonant Field in a Kell-Like Medium. Int J Theor Phys 59, 2249–2254 (2020). https://doi.org/10.1007/s10773-020-04504-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-020-04504-2

Keywords

Navigation