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Dynamics of Quantum Fisher Information in Two Component Bose-Einstein Condensate

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Abstract

We investigate quantum Fisher information dynamics in two component Bose-Einstein condensate interacting spins with an external field. Approximate analytical expressions of quantum Fisher information is presented. Our analysis shows that quantum Fisher information is controlled by adjusting the strength of the external field and the total atomic number. It is shown that the maximal mean quantum Fisher information is occurred and the phase estimation is enhanced to the Heisenberg limit under some conditions.

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References

  1. Li, S.S., Huang, Y.B.: Int. J. Quantum Inf. 6, 561 (2008)

    Article  MATH  Google Scholar 

  2. Li, S.S., Nie, Y.Y., Hong, Z.H., Yi, X.J., Huang, Y.B.: Commun. Theor. Phys. 50, 633 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  3. Huang, Y.B., Li, S.S., Nie, Y.Y.: Int. J. Theor. Phys. 48, 95 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  4. Wang, Z.S., Wu, C., Feng, X.-L., Kwek, L.C., Lai, C.H., Oh, C.H., Vedral, V.: Phys. Rev. A 76, 044303 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  5. Wang, Z.S.: Phys. Rev. A 79, 024304 (2009)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  7. Braunstein, S.L., Caves, C.M.: Phys. Rev. Lett. 72, 3439 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Helstrom, C.W.: Quantum Detection and Estimation Theory. Academic Press, New York (1976). Chap. VIII

    Google Scholar 

  9. Wootters, W.K.: Phys. Rev. D 23, 357 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  10. Ma, J., Wang, X.: Phys. Rev. A 80, 012318 (2009)

    Article  ADS  Google Scholar 

  11. Boixo, S., Monras, A.: Phys. Rev. Lett. 100, 100503 (2008)

    Article  ADS  Google Scholar 

  12. Liu, W.-F., Xiong, H.-N., Ma, J., Wang, X.: Int. J. Theor. Phys. 49, 1073 (2010)

    Article  MATH  Google Scholar 

  13. Law, C.K., Ng, H.T., Leung, P.T.: Phys. Rev. A 63, 055601 (2001)

    Article  ADS  Google Scholar 

  14. Jin, G.R., Wang, X.W., Li, D., Lu, Y.W.: J. Phys. B 43, 045301 (2010)

    Article  ADS  Google Scholar 

  15. Gordon, D., Savage, C.M.: Phys. Rev. A 59, 4623 (1999)

    Article  ADS  Google Scholar 

  16. Li, S.S.: Int. J. Theor. Phys. 50, 767 (2011)

    Article  MATH  Google Scholar 

  17. Rahavan, S., Pu, H., Meystre, P., Bigelow, N.P.: Opt. Commun. 188, 149 (2000)

    Article  ADS  Google Scholar 

  18. Gerry, C.C., Campos, R.A.: Phys. Rev. A 68, 025602 (2003)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, Jiangxi Institute of Education, Nanchang, 330029, People’s Republic of China

    Song-Song Li & Zhen-Ya Liu

  2. Department of Physics, Hunan Normal University, Changsha, 410081, People’s Republic of China

    Yong-Jun Xiao

Authors
  1. Song-Song Li
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  2. Zhen-Ya Liu
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  3. Yong-Jun Xiao
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Correspondence to Song-Song Li.

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Li, SS., Liu, ZY. & Xiao, YJ. Dynamics of Quantum Fisher Information in Two Component Bose-Einstein Condensate. Int J Theor Phys 51, 1323–1328 (2012). https://doi.org/10.1007/s10773-011-1008-3

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  • DOI: https://doi.org/10.1007/s10773-011-1008-3

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