Abstract
We present a comparative theoretical study of the optical properties in five- (5S1∕2 → 5P3∕2 → 7S1∕2) and seven-level (5S1∕2 → 5P3∕2 → 5D5∕2) Ξ systems for 87Rb atoms using density matrix formalism. We take into account the effect of wavelength mismatching, close proximity of hyperfine levels and various polarization combinations (σ+σ+, σ+σ−, πσ+ and ππ) of the optical fields. These factors modify the Electromagnetically induced transparency (EIT) phenomenon resulting in broadened asymmetric profile. The optical properties vary according to the level structure in both the systems. Furthermore, any change in absorption causes a concomitant modification in the dispersion and the group index.
Graphical abstract
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S.E. Harris, J.E. Field, A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990)
Y. Zhang, B. Anderson, M. Xiao, Phys. Rev. A 77, 061801 (2008)
K.-J. Boller, A. Imamoglu, S.E. Harris, Phys. Rev. Lett. 66, 2593 (1991)
M. Fleischhauer, A. Imamoglu, J.P. Marangos, Rev. Mod. Phys. 77, 633 (2005)
M.O. Scully, M. Fleischhauer, Phys. Rev. Lett. 69, 1360 (1992)
H. Lee, M. Fleischhauer, M.O. Scully, Phys. Rev. A 58, 2587 (1998)
R. Wynands, A. Nagel, Appl. Phys. B 68, 1 (1999)
L.V. Hau, S.E. Harris, Z. Dutton, C.H. Behroozi, Nature 397, 594 (1999)
D.F. Phillips, A. Fleischhauer, A. Mair, R.L. Walsworth, M.D. Lukin, Phys. Rev. Lett. 86, 783 (2001)
D. Das, V. Natarajan, Europhys. Lett. 72, 740 (2005)
A. Krishna, K. Pandey, A. Wasan, V. Natarajan, Europhys. Lett. 72, 221 (2005)
S.E. Harris, Phys. Today 50, 36 (1997)
A.I. Lvovsky, B.C. Sanders, W. Tittel, Nat. Photon. 3, 706 (2009)
M.M. Kash, V.A. Sautenkov, A.S. Zibrov, L. Hollberg, G.R. Welch, M.D. Lukin, Y. Rostovtsev, E.S. Fry, M.O. Scully, Phys. Rev. Lett. 82, 5229 (1999)
C. Liu, Z. Dutton, C.H. Behroozi, L.V. Hau, Nature 409, 490 (2001)
J.P. Marangoes, J. Mod. Optics 45, 471 (1998)
H.J. Metcalf, P. van der Stratten, Laser cooling and trapping (Springer, New York, 1999)
D. McGloin, M.H. Dhunn, D.J. Fulton, Phy. Rev. A 62, 053802 (2000)
H.S. Moon, H.-R. Noh, Phys. Rev. A 84, 033821 (2011)
S.D. Badger, I.G. Hughes, C.S. Adams, J. Phys. B: At. Mol. Opt. Phys. 34, 749 (2001)
K. Pandey, V. Natarajan, J. Phys. B: At. Mol. Opt. Phys. 41, 185504 (2008)
O.S. Mishina, M. Scherman, P. Lombardi, J. Ortalo, D. Felinto, A. S. Sheremet, A. Bramati, D.V. Kupriyanov, J. Laurat, E. Giacobino, Phys. Rev. A 83, 053809 (2011)
V. Bharti, A. Wasan, J. Phys. B: At. Mol. Opt. Phys. 45, 185501 (2012)
J.R. Boon, E. Zekou, D. McGloin, M.H. Dunn, Phys. Rev. A 59, 4675 (1999)
A.B. Mirza, S. Singh, Phys. Rev. A 85, 053837 (2012)
V. Bharti, A. Wasan, Opt. Commun. 324, 238 (2014)
K. Yadav, A. Wasan, Phys. Lett. A 381, 3246 (2017)
M.S. Safronova, U.I. Safronova, Phys. Rev. A 83, 052508 (2001)
H.S. Moon, L. Lee, J.B. Kim, Opt. Exp. 16, 12163 (2008)
H.S. Moon, H.R. Noh, J. Phys. B: At. Mol. Opt. Phys. 44, 055004 (2011)
H.R. Noh, H.S. Moon, Phy. Rev. A 80, 022509 (2009)
J.G.-Banacloche, Y.-q. Li, S.-Z. Jin, M. Xiao, Phys. Rev. A 51, 576 (1995)
G. Vemuri, G.S. Argarwal, B.D.N. Rao, Phys. Rev. A 53, 2842 (1996)
R.R. Moseley, S. Shepherd, D.J. Fulton, B.D. Sinclair, M.H. Dunn, Opt. Commun. 119, 61 (1995)
S. Shepherd, D.J. Fulton, M.H. Dunn, Phys. Rev. A 54, 5394 (1996)
A. Javan, O. Kocharovskya, H. Lee, M.O. Scully, Phys. Rev. A 66, 013805 (2002)
S.M. Iftiquar, G.R. Karve, V. Natarajan, Phys. Rev. A 77, 063807 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yadav, K., Wasan, A. Five- and seven-level inhomogeneously broadened Ξ systems with mismatched wavelengths and polarization effects. Eur. Phys. J. D 72, 125 (2018). https://doi.org/10.1140/epjd/e2018-80715-9
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2018-80715-9