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Geometric Population Inversion in Rabi Oscillation

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Abstract

The relations between geometric phases and population inversion in Rabi oscillation are investigated for all possible cases. The results show that the population inverse is an elliptically symmetric distribution as a function of the difference of geometric phases so as resiliently to rebut certain types of computational and experiment errors in geometric quantum computation.

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References

  1. Pancharatnam, S.: Proc. Ind. Acad. Sci. A 44, 1225 (1956)

    Google Scholar 

  2. Berry, M.V.: Proc. R. Soc. Lond., Ser. A 392, 45 (1984)

    Article  MATH  ADS  Google Scholar 

  3. Aharonov, Y., Anandan, J.: Phys. Rev. Lett. 58, 1593 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  4. Simon, B.: Phys. Rev. Lett. 51, 2167 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  5. Wang, Z.S., et al.: Phys. Scr. 75, 494 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. Wang, Z.S., et al.: Eur. Phys. J. D 33, 285 (2005)

    Article  ADS  Google Scholar 

  7. Byrd, M.: J. Math. Phys. 39, 6125 (1998)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Strahov, E.: J. Math. Phys. 42, 2008 (2001)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. Wang, Z.S., et al.: Europhys. Lett. 74, 958 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  10. Wang, Z.S., et al.: Phys. Rev. A 75, 024102 (2007)

    Article  ADS  Google Scholar 

  11. Wang, Z.S.: Int. J. Theor. Phys. 48, 2353 (2009)

    Article  MATH  Google Scholar 

  12. Suter, D., Mueller, K.T., Pine, A.: Phys. Rev. Lett. 60, 1218 (1988)

    Article  ADS  Google Scholar 

  13. Bhandari, R., Samuel, J.: Phys. Rev. Lett. 60, 1211 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  14. Chiao, R.Y., et al.: Phys. Rev. Lett. 60, 1214 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  15. Zanardi, P., Rasetti, M.: Phys. Lett. A 264, 94 (1999)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  16. Wang, Z.S., et al.: Phys. Rev. A 76, 044303 (2007)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  18. Wang, Z.S., Liu, G.Q., Ji, Y.H.: Phys. Rev. A 79, 054301 (2009)

    Article  ADS  Google Scholar 

  19. Bennett, C.H., DiVincenzo, D.P.: Nature (London) 404, 247 (2000)

    Article  ADS  Google Scholar 

  20. Barenco, A., Deutsch, D., Ekert, A., Jozsa, R.: Phys. Rev. Lett. 74, 4083 (1995)

    Article  ADS  Google Scholar 

  21. Gammon, D., et al.: Science 273, 87 (1996)

    Article  ADS  Google Scholar 

  22. Bayer, M., et al.: Nature (London) 405, 923 (2000)

    Article  ADS  Google Scholar 

  23. Chen, G.: Science 289, 1906 (2000)

    Article  ADS  Google Scholar 

  24. Bonadeo, N.H., et al.: Science 282, 1473 (1998)

    Article  Google Scholar 

  25. Zrenner, A., et al.: Nature (London) 418, 612 (2002)

    Article  ADS  Google Scholar 

  26. Borri, P.: Phys. Rev. B 66, 081306(R) (2002)

    Article  ADS  Google Scholar 

  27. Stievater, T.H.: Phys. Rev. Lett. 87, 133603 (2001)

    Article  ADS  Google Scholar 

  28. Wang, Q.Q., et al.: Phys. Rev. B 72, 035306 (2005)

    Article  ADS  Google Scholar 

  29. Sjöqvist, E., et al.: Phys. Rev. Lett. 85, 2845 (2000)

    Article  ADS  Google Scholar 

  30. Carollo, A., Fuentes-Guridi, I., Franca Santos, M., Vedral, V.: Phys. Rev. Lett. 90, 160402 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  31. Fonseca Romero, K.M., et al.: Physica A 307, 142 (2002)

    Article  MATH  ADS  Google Scholar 

  32. Nazir, A., et al.: Phys. Rev. A 65, 042303 (2003)

    Article  ADS  Google Scholar 

  33. Whitney, R.S., Gefen, Y.: Phys. Rev. Lett. 90, 190402 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  34. De Chiara, G., Palma, M.: Phys. Rev. Lett. 91, 090404 (2003)

    Article  Google Scholar 

  35. Whitney, R.S., et al.: Phys. Rev. Lett. 94, 070407 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  36. Wang, Z.S., Wu, R.S.: Int. J. Theor. Phys. 48, 1859 (2009)

    Article  MATH  Google Scholar 

  37. Wang, Z.S., et al.: Phys. Lett. A 359, 608 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  38. Wang, Z.S., et al.: Phys. Lett. A 372, 775 (2008)

    Article  ADS  Google Scholar 

  39. Leibfried, D., et al.: Nature 422, 422 (2003)

    Article  ADS  Google Scholar 

  40. Zhu, S.L., Wang, Z.D.: Phys. Rev. Lett. 91, 187902 (2003)

    Article  ADS  Google Scholar 

  41. Chen, C.Y., Feng, M., Zhang, X.L., Gao, K.L.: Phys. Rev. A 73, 032344 (2006)

    Article  ADS  Google Scholar 

  42. Fuentes-Guridi, I., Bose, S., Vedral, V.: Phys. Rev. Lett. 85, 5018 (2000)

    Article  ADS  Google Scholar 

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Correspondence to Z. S. Wang.

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Liu, D., Chen, Z.Q. & Wang, Z.S. Geometric Population Inversion in Rabi Oscillation. Int J Theor Phys 49, 497–505 (2010). https://doi.org/10.1007/s10773-009-0228-2

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  • DOI: https://doi.org/10.1007/s10773-009-0228-2

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