Abstract
Pancharatnam phase and Berry phase are investigated and compared for a three-level atom crosses a double cavity with two near resonant fields. The results show that the time-dependent Pancharatnam phase shows a transitive phenomenon during the evolving process of physical system according to both the time and the space, while the Berry phase as a smooth function of space because of the accumulative effect.
Similar content being viewed by others
References
Pancharatnam, S.: Proc. Indian Acad. Sci., A 44, 247 (1956)
Berry, M.V.: Proc. R. Soc. A 392, 45 (1984)
Wang, Z.S., Wu, R.S.: Int. J. Theor. Phys. 48, 1859 (2009)
Aharonov, Y., Anandan, J.: Phys. Rev. Lett. 58, 1593 (1987)
Simon, B.: Phys. Rev. Lett. 51, 2167 (1983)
Wilczek, F., Zee, A.: Phys. Rev. Lett. 52, 2111 (1984)
Li, H.Z.: Phys. Rev. Lett. 58, 539 (1987)
Wang, Z.S., Kwek, L.C., Lai, C.H., Oh, C.H.: Phys. Lett. A 359, 608 (2006)
Wang, Z.S., et al.: Phys. Lett. A 372, 775 (2008)
Arovas, D., Schrieffer, J.R., Wilczek, F.: Phys. Rev. Lett. 53, 722 (1984)
Haldane, F.D., Wu, Y.S.: Phys. Rev. Lett. 55, 2887 (1985)
Wang, Z.S., et al.: Int. J. Theor. Phys. 51, 2850 (2012)
Wang, Z.S., Kwek, L.C., Lai, C.H., Oh, C.H.: Eur. Phys. J., D 33, 285 (2005)
Semenoff, G.W., Sodano, P.: Phys. Rev. Lett. 57, 1195 (1986)
Uhlmann, A.: Rep. Math. Phys. 24, 229 (1986)
Samuel, J., Bhandari, R.: Phys. Rev. Lett. 60, 2339 (1988)
Wang, Z.S., et al.: Phys. Scr. 75, 494 (2007)
Bitter, T., Dubbers, D.: Phys. Rev. Lett. 59, 251 (1987)
Tomita, A., Chiao, R.Y.: Phys. Rev. Lett. 57, 937 (1986)
Suter, D., Mueller, K.T., Pines, A.: Phys. Rev. Lett. 60, 1218 (1988)
Leek, P.J., et al.: Science 318, 1889 (2007)
Möttönen, M., Vartiainen, J.J., Pekola, J.P.: Phys. Rev. Lett. 10, 177201 (2008)
Zanardi, P., Rasetti, M.: Phys. Lett. A 264, 94 (1999)
Wang, Z.S., et al.: Phys. Rev. A 76, 044303 (2007)
Zhu, S.-L., Wang, Z.D.: Phys. Rev. Lett. 91, 187902 (2003)
Wang, Z.S.: Phys. Rev. A 79, 024304 (2009)
Wang, Z.S., Liu, G.Q., Ji, Y.H.: Phys. Rev. A 79, 054301 (2009)
Song, K.-H., Xiang, S.-H., Liu, Q., Lu, D.-H.: Phys. Rev. A 75, 032347 (2007)
Zheng, S.-B.: Phys. Rev. A 74, 032322 (2006)
Du, J., Zou, P., Wang, Z.D.: Phys. Rev. A 74, 020302 (2006)
Ellinas, D., Barnett, S.M., Dupertuis, M.A.: Phys. Rev. A 39, 3228 (1989)
Dattoli, G., Mignani, R., Torre, A.: J. Phys. A 23, 5795 (1990)
Jiang, Y.Y., et al.: Phys. Rev. A 82, 062108 (2010)
Sjöqvist, E., et al.: Phys. Rev. Lett. 85, 2845 (2000)
Carollo, A., Fuentes-Guridi, I., Santos, M.F., Vedral, V.: Phys. Rev. Lett. 90, 160402 (2003)
Fonseca Romero, K.M., Aguiar, A.C., Thomaz, M.T.: Physica A 307, 142 (2002)
Wang, Z.S., Kwek, L.C., Lai, L.C., Oh, C.H.: Europhys. Lett. 74, 958 (2006)
Wang, Z.S., et al.: Phys. Rev. A 75, 024102 (2007)
Wang, Z.S.: Int. J. Theor. Phys. 48, 2353 (2009)
Nazir, A., Spiller, T.P., Munro, W.J.: Phys. Rev. A 65, 042303 (2002)
Whitney, R.S., Gefen, Y.: Phys. Rev. Lett. 90, 190402 (2003)
De Chiara, G., Palma, G.M.: Phys. Rev. Lett. 91, 090404 (2003)
Wang, Z.S.: Int. J. Theor. Phys. 51, 3647 (2012)
Rao, H.-Y., et al.: Acta Phys. Sin. 61, 020302 (2012)
Xu, H.-l., et al.: J. Magn. Reson. 223, 25 (2012)
Orszag, M., Ramírez, R.: Opt. Commun. 101, 377 (1993)
Wang, Z.S., Liu, Q.: Phys. Lett. A (2013). doi:10.1016/j.physleta.2013.10.023
Yu, Y., et al.: Physica C, Supercond. 495, 88 (2013)
Acknowledgements
This work is supported by the Natural Science Foundation of Jiangxi Province, China under Grant No. 2011ZBAB202007, the Foundation of Science and Technology of Education Office of Jiangxi Province under Grant No. GJJ12373 and the Foundation of Science and Technology of Education Office of Anhui Province under Grant No. KJ2013Z189.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rao, H.Y., Xu, H.L., Fu, G.L. et al. Geometric Phase for a Three-Level Atoms Crosses a Double Cavity with Two Near Resonnat Fields. Int J Theor Phys 53, 1033–1039 (2014). https://doi.org/10.1007/s10773-013-1896-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-013-1896-5