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Protecting Spin Squeezing with Square Noise

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Abstract

Here we provide two schemes to eliminate the square noise in the collective angular momentum during the generation of one-axis twisting (OAT) squeezed spin states (SSSs) by using the Radio frequency (RF) pulses. The first scheme can effectively overcome the detrimental noise and gives us a bare OAT Hamiltonian at last. The second one may also remove the noise well enough and finally offers us a two-axis twisting (TAT) Hamiltonian. In other words, it can both protect and enhance the OAT Hamiltonian. The corresponding theoretical analysis and numerical simulations are presented in the paper.

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References

  1. Kitagawa, M., Ueda, M.: Phys. Rev. A 47, 5138 (1993)

    Article  ADS  Google Scholar 

  2. Wineland, D.J., Bollinger, J.J., Itano, W.M., Moore, F.L., Heinzen, D.J.: Phys. Rev. A 46, R6797 (1992)

    Article  ADS  Google Scholar 

  3. Wineland, D.J., Bollinger, J.J., Itano, W.M., Heinzen, D.J.: Phys. Rev. A 50, 67 (1994)

    Article  ADS  Google Scholar 

  4. Ma, J., Wang, X.G., Sun, C.P., Nori, F.: Phys. Rep. 509, 89 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  5. Bollinger, J.J., Itano, W.M., Wineland, D.J., Heinzen, D.J.: Phys. Rev. A 54, R4649 (1996)

    Article  ADS  Google Scholar 

  6. Leibfried, D., Barrett, M.D., Schaetz, T., Britton, J., Chiaverini, J., Itano, W.M., Jost, J.D., Langer, C., Wineland, D.J.: Science 304, 1476 (2004)

    Article  ADS  Google Scholar 

  7. Polzik, E.S.: Nature 453, 45 (2008)

    Article  ADS  Google Scholar 

  8. Cronin, A.D., Schmiedmayer, J., Pritchard, D.E.: Rev. Mod. Phys. 81, 1051 (2009)

    Article  ADS  Google Scholar 

  9. Appel, J., Windpassinger, P.J., Oblak, D., Hoff, U.B., Kjaergaard, N., Polzik, E.S.: Proc. Natl. Acad. Sci. 106, 10960 (2009)

    Article  ADS  Google Scholar 

  10. Gross, C., Zibold, T., Nicklas, E., Estève, J., Oberthaler, M.K.: Nature 464, 1165 (2010)

    Article  ADS  Google Scholar 

  11. Riedel, M.F., Böhi, P., Li, Y., Hänsch, T.W., Sinatra, A., Treutlein, P.: Nature 464, 1170 (2010)

    Article  ADS  Google Scholar 

  12. Sørensen, A., Duan, L.M., Cirac, J.I., Zoller, P.: Nature 409, 63 (2001)

    Article  ADS  Google Scholar 

  13. Bigelow, N.: Nature 409, 27 (2001)

    Article  ADS  Google Scholar 

  14. Sørensen, A.S., Mølmer, K.: Phys. Rev. Lett. 86, 4431 (2001)

    Article  ADS  Google Scholar 

  15. Korbicz, J.K., Cirac, J.I., Lewenstein, M.: Phys. Rev. Lett. 95, 120502 (2005)

    Article  ADS  Google Scholar 

  16. Wang, D., Hu, Y.D., Wang, Z.Q., Ye, L.: Quantum Inf. Process. 14, 2135 (2015)

    Article  ADS  Google Scholar 

  17. Amico, L., Fazio, R., Osterloh, A., Vedral, V.: Rev. Mod. Phys. 80, 517 (2008)

    Article  ADS  Google Scholar 

  18. Pezzé, L., Smerzi, A.: Phys. Rev. Lett. 102, 100401 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  19. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Rev. Mod. Phys. 81, 865 (2009)

    Article  ADS  Google Scholar 

  20. Gühne, O., Tóth, G.: Phys. Rep. 474, 1 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  21. Lee, T.E., Chan, C.K.: Phys. Rev. A 88, 063811 (2013)

    Article  ADS  Google Scholar 

  22. Huang, W., Zhang, Y.L., Zou, C.L., Xu, B.Z., Guo, C.C.: Phys. Rev. A 91, 043642 (2015)

    Article  ADS  Google Scholar 

  23. Opatrny, T., Kolar, M., Das, K.K.: Phys. Rev. A 91, 053612 (2015)

    Article  ADS  Google Scholar 

  24. Kajtoch, D., Witkkowska, E.: Phys. Rev. A 92, 013623 (2015)

    Article  ADS  Google Scholar 

  25. Hosten, O., Engelsen, N.J., Krishnakumar, R., Kasevich, M.A.: Nature 529, 16176 (2016)

    Article  Google Scholar 

  26. Davis, E., Bentsen, G., Schleier-Smith, M.: Phys. Rev. Lett. 116, 053601 (2016)

    Article  ADS  Google Scholar 

  27. Auccaise, R., Araujo-Ferreira, A.G., Sarthour, R.S., Oliveira, I.S., Bonagamba, T.J., Roditi, I.: Phys. Rev. Lett. 114, 043604 (2015)

    Article  ADS  Google Scholar 

  28. Muessel, W., Strobel, H., Linnemann, D., Hume, D.B., Oberthaler, M.K.: Phys. Rev. Lett. 113, 103004 (2014)

    Article  ADS  Google Scholar 

  29. Bohnet, J.G., Cox, K.C., Norcia, M.A., Weiner, J.M., Chen, Z., Thompson, J.K.: Nature Photonics. 8, 731 (2014)

    Article  ADS  Google Scholar 

  30. Liu, Y.C., Xu, Z.F., Jin, G.R., You, L.: Phys. Rev. Lett. 107, 013601 (2011)

    Article  ADS  Google Scholar 

  31. Shen, C., Duan, L.M.: Phys. Rev. A 87, 051801 (2013)

    Article  ADS  Google Scholar 

  32. Zhang, J.Y., Zhou, X.F., Guo, G.C., Zhou, Z.W.: Phys. Rev. A 90, 013604 (2014)

    Article  ADS  Google Scholar 

  33. Chaudhry, A.Z., Gong, J.B.: Phys. Rev. A 86, 012311 (2012)

    Article  ADS  Google Scholar 

  34. Suzuki, M.: J. Math. Phys. 32, 400 (1991)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Acknowledgments

This work was funded by National Natural Science Foundation of China (Grant No.11547244 and No.11547208) and Science and Technology Research Project of Hubei Provincial Department of Education (Grant No.B2014067).

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Correspondence to Ji-Ying Zhang.

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Zhang, JY., Zhang, YC., Wu, S. et al. Protecting Spin Squeezing with Square Noise. Int J Theor Phys 56, 521–529 (2017). https://doi.org/10.1007/s10773-016-3194-5

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