Advertisement

Spin Squeezing for Two Atoms in an Optical Coherent-State Cavity

  • Xue-Min Bai
  • Xue-Yun Bai
  • Ni Liu
  • Jun-Qi LiEmail author
  • J.-Q. Liang
Article

Abstract

We in this paper investigate the spin squeezing in relation with the phase transition from the normal to superradiant phases for two atoms in an optical cavity. The squeezing vanishes in the normal phase and jumps sharply to the maximum bound above the critical point of phase transition. In the high atom-field coupling regime, the squeezing vanishes again when the atom-field coupling reaches a threshold value. The squeezing alternates between two spin components in the intermediate region of atom-field coupling. An interesting observation is that the two spin components are squeezed alternately with the variation of phase angle of the cavity field. The squeezing factor indeed can be used to probe the phase transition and coherent-field properties as well.

Keywords

Spin squeezing Optical cavity Phase transition 

Notes

Acknowledgments

This work was supported by the Natural Science Foundation of China under Grants Nos. 11105087, 11275118, 11404198 and the natural science foundation of Shanxi Province under Grant No. 201701D221001. This work was also sponsored by the Fund for Shanxi “1331 Project” Key Subjects Construction.

References

  1. 1.
    Ma, J., Wang, X., Sun, C.P., Nori, F.: Phys. Rep. 509, 89 (2011)ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    Wang, X., Sanders, B.C.: Phys. Rev. A 68, 012101 (2003)ADSCrossRefGoogle Scholar
  3. 3.
    Pezzè, L., Smerzi, A., Oberthaler, M.K., Schmied, R., Treutlein, P.: Rev. Mod. Phys. 90, 035005 (2018)ADSCrossRefGoogle Scholar
  4. 4.
    Kitagawa, M., Ueda, M.: Phys. Rev. A 47, 5138 (1993)ADSCrossRefGoogle Scholar
  5. 5.
    Wineland, D.J., Bollinger, J.J., Itano, W.M., Heinzen, D.J.: Phys. Rev. A 50, 67 (1994)ADSCrossRefGoogle Scholar
  6. 6.
    Søensen, A.S., Mømer, K.: Phys. Rev. Lett. 86, 4431 (2001)ADSCrossRefGoogle Scholar
  7. 7.
    Tóth, G., Knapp, C., Gühne, O., Briegel, H.J.: Phys. Rev. Lett. 99, 250405 (2007)ADSCrossRefGoogle Scholar
  8. 8.
    Zhang, Z., Duan, L.M.: New J. Phys. 16, 103037 (2014)ADSCrossRefGoogle Scholar
  9. 9.
    Ye, J., Kimble, H.J., Katori, H.: Science 320, 1734 (2008)ADSCrossRefGoogle Scholar
  10. 10.
    André, A., Sørensen, A.S., Lukin, M.D.: Phys. Rev. Lett. 92, 230801 (2004)ADSCrossRefGoogle Scholar
  11. 11.
    Meiser, D., Ye, J., Holland, M.J.: New J. Phys. 10, 073014 (2008)ADSCrossRefGoogle Scholar
  12. 12.
    Goda, K., Miyakawa, O., Mikhailov, E.E., Saraf, S., Adhikari, R., McKenzie, K., Ward, R., Vass, S., Weinstein, A.J., Mavalvala, N.: Nat. Phys. 4, 472 (2008)CrossRefGoogle Scholar
  13. 13.
    Gühne, O., Tóth, G.: Phys. Rep. 474, 1 (2009)ADSMathSciNetCrossRefGoogle Scholar
  14. 14.
    Muessel, W., Strobel, H., Linnemann, D., Hume, D.B., Oberthaler, M.K.: Phys. Rev. Lett. 113, 103004 (2014)ADSCrossRefGoogle Scholar
  15. 15.
    Gross, C., Zibold, T., Nicklas, E., Estève, J., Oberthaler, M.K.: Nature (London) 464, 1165 (2010)ADSCrossRefGoogle Scholar
  16. 16.
    Bücker, R., Grond, J., Manz, S., Berrada, T., Betz, T., Koller, C., Hohenester, U., Schumm, T., Perrin, A., Schmiedmayer, J.: Nat. Phys. 7, 608 (2011)CrossRefGoogle Scholar
  17. 17.
    Huang, X.Y., Sun, F.X., Zhang, W., He, Q.Y., Sun, C.P.: Phys. Rev. A 95, 013605 (2017)ADSCrossRefGoogle Scholar
  18. 18.
    Masson, S.J., Parkins, S.: Phys. Rev. A 99, 023822 (2019)ADSCrossRefGoogle Scholar
  19. 19.
    Zhang, Y.C., Zhou, X.F., Zhou, X., Guo, G.C., Zhou, Z.W.: Phys. Rev. Lett. 118, 083604 (2017)ADSCrossRefGoogle Scholar
  20. 20.
    Masson, S.J., Barrett, M.D., Parkins, S.: Phys. Rev. Lett. 119, 213601 (2017)ADSCrossRefGoogle Scholar
  21. 21.
    Xia, K., Twamley, J.: Phys. Rev. B 94, 205118 (2016)ADSCrossRefGoogle Scholar
  22. 22.
    Hosten, O., Engelsen, N.J., Krishnakumar, R., Kasevich, M.A.: Nature (London) 529, 505 (2016)ADSCrossRefGoogle Scholar
  23. 23.
    Breuer, H.P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)zbMATHGoogle Scholar
  24. 24.
    Breuer, H.P., Laine, E.M., Piilo, J., Vacchini, B.: Rev. Mod. Phys. 88, 021002 (2016)ADSCrossRefGoogle Scholar
  25. 25.
    de Vega, I., Alonso, D.: Rev. Mod. Phys. 89, 015001 (2017)ADSCrossRefGoogle Scholar
  26. 26.
    Sun, Z.: Phys. Rev. A 84, 052307 (2011)ADSCrossRefGoogle Scholar
  27. 27.
    Mirkhalaf, S.S., Smerzi, A.: Phys. Rev. A 95, 022302 (2017)ADSCrossRefGoogle Scholar
  28. 28.
    Yin, X., Ma, J., Wang, X., Nori, F.: Phys. Rev. A 86, 012308 (2012)ADSCrossRefGoogle Scholar
  29. 29.
    Xiao, X., Fang, M.F., Hu, Y.M.: Phys. Scr. 84, 045011 (2011)ADSCrossRefGoogle Scholar
  30. 30.
    Zou, H.-M., Fang, M.F., Yang, B.Y.: Chin. Phys. B 22, 120303 (2013)CrossRefGoogle Scholar
  31. 31.
    Pichler, T., Caneva, T., Montangero, S., Lukin, M.D., Calarco, T.: Phys. Rev. A 93, 013851 (2016)ADSCrossRefGoogle Scholar
  32. 32.
    Tan, Q.-S., Huang, Y., Kuang, L.-M., Wang, X.: Phys. Rev. A 89, 063604 (2014)ADSCrossRefGoogle Scholar
  33. 33.
    Li, J.-Q., Du, L., Liang, J.-Q.: Laser Phys. 28, 095202 (2018)ADSCrossRefGoogle Scholar
  34. 34.
    Zhong, W.-J., Li, Y.-L., Xiao, X., Xie, Y.-M.: Laser Phys. Lett. 13, 085205 (2016)ADSCrossRefGoogle Scholar
  35. 35.
    Zhao, X., Liu, N., Liang, J.-Q.: Phys. Rev. A 90, 023622 (2014)ADSCrossRefGoogle Scholar
  36. 36.
    Zhao, X., Liu, N., Bai, X., Liang, J.-Q.: Ann. Phys. 378, 448 (2017)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Xue-Min Bai
    • 1
  • Xue-Yun Bai
    • 1
  • Ni Liu
    • 1
  • Jun-Qi Li
    • 1
    Email author
  • J.-Q. Liang
    • 1
  1. 1.Institute of Theoretical Physics, State Key Laboratory of Quantum Optics and Quantum Optics DevicesShanxi UniversityTaiyuanChina

Personalised recommendations