EIT Four-Level Lambda Scheme of Cold Rubidium Atoms
Brzostowski Bartosz 1, Cao Long V. 1, Khoa Dinh Xuan 2, Grabiec Bogdan 1, Ngoc Sau Vu 2, Żaba Agnieszka 1
1 Quantum Optics and Engineering Division, Institute of Physics,
University of Zielona Góra, ul. Prof. Szafrana 4a, 65-516 Zielona Góra, Poland
e-mail: B.Brzostowski@proton.if.uz.zgora.pl
2 Vinh University, Nghe An, Vietnam
Received:
Received: 29 June 2010; accepted: 13 September 2010
DOI: 10.12921/cmst.2010.SI.02.13-16
OAI: oai:lib.psnc.pl:694
Abstract:
In this paper, using the general master equation in the dipole interaction and the rotating-wave approximation, we will explain the experimental results obtained by Warsaw Group for Electromagnetically Induced Transparency in four-level lambda scheme of cold rubidium atoms. The theoretical calculations are in good agreement with the experimental data.
Key words:
cold Rb atoms in MOT, electromagnetically induced ransparency (EIT), lambda scheme
References:
[1] M.D. Lukin, A. Imamoglu, Nature 413, 273 (2001).
[2] A. Imamoglu, S.E. Harris, Opt. Lett. 14, 1344 (1989).
[3] K.J. Boller, A. Imamoglu, S.E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[4] S.E. Harris, L.V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[5] M. Paternostro, M.S. Kim, B.S. Ham, Phys. Rev. A67, 023811 (2003).
[6] S. Knappe, J. Kitching, L. Hollberg, Appl. Phys. Lett. 81, 553 (2002).
[7] Cao Long Van, Dinh Xuan Khoa, Marek Trippenbach, Introduction to Nonlinear Optics, Vinh 2003.
[8] Y.C. Chen, C.W. Lin, I.A. Yu, Phys. Rev. A61, 053805, (2000).
[9] J. Clarke, H.X. Chen, W.A. van Wijngaarden, Appl. Opt. 40, 2047 (2001).
[10] J. Wang et al., Phys. Lett. A328, 437 (2004).
[11] M.S. Safronova, C.J. Williams, C.W. Clark, Phys. Rev. A69, 022509 (2004).
[12] A.M. Glodz et al., to be published and K. Kowalski, Elektromagnetycznie wymuszona przezroczystość w zimnych atomach rubidu w pułapce magneto-optycznej, PhD thesis (in polish), Institute of Physics, Polish Academy of Sciences, Warsaw 2008.
[13] J.R. Boon, E. Zekou, D. McCloin, M.H. Dunn, Phys. Rev. A59, 4675 (1999).
[14] M. Phillips, H. Wang, Opt. Lett. 28, 831 (2003).
[15] G.B. Serapiglia et al., Phys. Rev. Lett. 84, 1019 (2000).
[16] M.C. Phillips, H. Wang, Phys. Rev. Lett. 89, 186401 (2002).
[17] W.W. Chow, H.C. Schneider, M.C. Phillips, Phys. Rev. A68, 053802 (2003).
[18] M.C. Phillips et al., Phys. Rev. Lett. 91, 183602 (2003).
[19] J. Houmark et al. J. Phys. Conf. Ser. 107, 012005 (2008).
[20] Y. Wu, X. Yang, Phys. Rev. A71, 053806 (2005).
[21] S. Marcinkievicius, A. Gushterov, J.P. Reithmaier, Appl. Phys. Lett. 92, 04113 (2008).
[22] H. Gersen, Phys. Rev. Lett. 94, 073903 (2005).
[23] E. Arimondo, Prog. Opt. 35, 257 (1996).
[24] S.E. Harris, Phys. Today 50, 36 (1997).
[25] J.P. Marangos, J. Mod. Opt 45, 471 (1998).
[26] R.W. Boyd, D.J. Gauthier, Prog. Opt. 43, 497 (2002).
[27] M.D. Lukin, Rev. Mod. Phys. 75, 457 (2003).
[28] M. Fleischhauer, A. Imamoglu, J.P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[29] A. Andre et al., J. Phys. B38, 5589 (2005).
[30] V. Cao Long, K. Dinh Xuan, T. Bui Dinh, H. Nguyen Viet, Comm. in Physics 18, 146 (2008).
[31] K. Kowalski et al., J. of Non-Crystalline Solids, 355, 1295 (2009).
In this paper, using the general master equation in the dipole interaction and the rotating-wave approximation, we will explain the experimental results obtained by Warsaw Group for Electromagnetically Induced Transparency in four-level lambda scheme of cold rubidium atoms. The theoretical calculations are in good agreement with the experimental data.
Key words:
cold Rb atoms in MOT, electromagnetically induced ransparency (EIT), lambda scheme
References:
[1] M.D. Lukin, A. Imamoglu, Nature 413, 273 (2001).
[2] A. Imamoglu, S.E. Harris, Opt. Lett. 14, 1344 (1989).
[3] K.J. Boller, A. Imamoglu, S.E. Harris, Phys. Rev. Lett. 66, 2593 (1991).
[4] S.E. Harris, L.V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[5] M. Paternostro, M.S. Kim, B.S. Ham, Phys. Rev. A67, 023811 (2003).
[6] S. Knappe, J. Kitching, L. Hollberg, Appl. Phys. Lett. 81, 553 (2002).
[7] Cao Long Van, Dinh Xuan Khoa, Marek Trippenbach, Introduction to Nonlinear Optics, Vinh 2003.
[8] Y.C. Chen, C.W. Lin, I.A. Yu, Phys. Rev. A61, 053805, (2000).
[9] J. Clarke, H.X. Chen, W.A. van Wijngaarden, Appl. Opt. 40, 2047 (2001).
[10] J. Wang et al., Phys. Lett. A328, 437 (2004).
[11] M.S. Safronova, C.J. Williams, C.W. Clark, Phys. Rev. A69, 022509 (2004).
[12] A.M. Glodz et al., to be published and K. Kowalski, Elektromagnetycznie wymuszona przezroczystość w zimnych atomach rubidu w pułapce magneto-optycznej, PhD thesis (in polish), Institute of Physics, Polish Academy of Sciences, Warsaw 2008.
[13] J.R. Boon, E. Zekou, D. McCloin, M.H. Dunn, Phys. Rev. A59, 4675 (1999).
[14] M. Phillips, H. Wang, Opt. Lett. 28, 831 (2003).
[15] G.B. Serapiglia et al., Phys. Rev. Lett. 84, 1019 (2000).
[16] M.C. Phillips, H. Wang, Phys. Rev. Lett. 89, 186401 (2002).
[17] W.W. Chow, H.C. Schneider, M.C. Phillips, Phys. Rev. A68, 053802 (2003).
[18] M.C. Phillips et al., Phys. Rev. Lett. 91, 183602 (2003).
[19] J. Houmark et al. J. Phys. Conf. Ser. 107, 012005 (2008).
[20] Y. Wu, X. Yang, Phys. Rev. A71, 053806 (2005).
[21] S. Marcinkievicius, A. Gushterov, J.P. Reithmaier, Appl. Phys. Lett. 92, 04113 (2008).
[22] H. Gersen, Phys. Rev. Lett. 94, 073903 (2005).
[23] E. Arimondo, Prog. Opt. 35, 257 (1996).
[24] S.E. Harris, Phys. Today 50, 36 (1997).
[25] J.P. Marangos, J. Mod. Opt 45, 471 (1998).
[26] R.W. Boyd, D.J. Gauthier, Prog. Opt. 43, 497 (2002).
[27] M.D. Lukin, Rev. Mod. Phys. 75, 457 (2003).
[28] M. Fleischhauer, A. Imamoglu, J.P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[29] A. Andre et al., J. Phys. B38, 5589 (2005).
[30] V. Cao Long, K. Dinh Xuan, T. Bui Dinh, H. Nguyen Viet, Comm. in Physics 18, 146 (2008).
[31] K. Kowalski et al., J. of Non-Crystalline Solids, 355, 1295 (2009).
