Control of Group Velocity via Spontaneous Generated Coherence and Kerr Nonlinearity

Hazrat Ali; Iftikhar Ahmad; Ziauddin

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理论物理通讯 ›› 2014, Vol. 62 ›› Issue (03) : 410-416.

Control of Group Velocity via Spontaneous Generated Coherence and Kerr Nonlinearity

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Control of Group Velocity via Spontaneous Generated Coherence and Kerr Nonlinearity

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摘要

A four-level N-type atomic medium is considered to study the effect of spontaneous generated coherence (SGC) and Kerr nonlinearity on light pulse propagation. A light pulse is propagating inside the medium where each atom follows four-level N-type atom-field configuration of rubidium (⁸⁵Rb) atom. The atom-field interaction leads to electromagnetically induced transparency (EIT) process. The atom-field interaction is accompanied by normal dispersion and in the presence of SGC and Kerr nonlinearity the dispersion property of the proposed atomic medium is modified, which leads to enhancement of positive group index of the medium. The enhancement of positive group index then leads to slow group velocity inside the medium. A more slow group velocity is also investigated by incorporated the collective effect of SGC and Kerr nonlinearity. The control of group velocity inside a four-level N-type atomic medium via collective effect of SGC and Kerr nonlinearity is the major part of this work.

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导出引用

Hazrat Ali, Iftikhar Ahmad, Ziauddin. Control of Group Velocity via Spontaneous Generated Coherence and Kerr Nonlinearity[J]. 理论物理通讯, 2014, 62(03): 410-416

Hazrat Ali, Iftikhar Ahmad, Ziauddin. Control of Group Velocity via Spontaneous Generated Coherence and Kerr Nonlinearity[J]. Communications in Theoretical Physics, 2014, 62(03): 410-416

中图分类号： 42.65.An 42.50.Gy 42.65.-k

参考文献

[1] S.E. Harris, J.E. Field, and A. Imamo?lu, Phys. Rev. Lett. 64 (1990) 1107.

[2] M. Xiao, Y.Q. Li, S.Z. Jin, and J.G. Banacloche, Phys. Rev. Lett. 74 (1995) 666.

[3] C. Liu, Z. Dutton, C.H. Behroozi, and L.V. Hau, Nature (London) 409 (2001) 490.

[4] O. Kocharovskaya, Y. Rostovtsev, and M.O. Scully, Phys. Rev. Lett. 86 (2001) 628.

[5] L.V. Hau, S. E. Harris, Z. Dutton, and C.H. Behroozi, Nature (London) 397 (1999) 594.

[6] M.M. Kash, V.A. Sautenkov, A.S. Zibrov, L. Hollberg, George R. Welch, M.D. Lukin, Y. Rostovtsev, E.S. Fry, and M.O. Scully, Phys. Rev. Lett. 82 (1999) 5229.

[7] M.S. Bigelow, N.N. Lepeshkin, and R.W. Boyd, Phys. Rev. Lett. 90 (2003) 113903.

[8] R.W. Boyd, Nonlinear Optics, 2nd edition, Academic, San Diego (2003).

[9] J.F. Roch, K. Vigneron, Ph. Grelu, A. Sinatra, J.-Ph. Poizat, and Ph. Grangier, Phys. Rev. Lett. 78 (1997) 634.

[10] Q.A. Turchette, C.J. Hood, W. Lange, H. Mabuchi, and H.J. Kimble, Phys. Rev. Lett. 75 (1995) 4710.

[11] C. Ottaviani, D. Vitali, M. Artoni, F. Cataliotti, and P. Tombesi, Phys. Rev. Lett. 90 (2003) 197902.

[12] C. Hang, Y. Li, L. Ma, and G. Huang, Phys. Rev. A 74 (2006) 012319.

[13] S.E. Harris and Y. Yamamoto, Phys. Rev. Lett. 81 (1998) 3611.

[14] B. He, Y. Ren, and J.A. Bergou, Phys. Rev. A 79 (2009) 052323.

[15] Y.B. Sheng, L. Zhou, S.M. Zhao, and B.Y. Zheng, Phys. Rev. A 85 (2012) 012307.

[16] Y.B. Sheng, L. Zhou, and S.M. Zhao, Phys. Rev. A 85 (2012) 042302.

[17] Q. Lin and B. He, Phys. Rev. A 80 (2009) 042310.

[18] K. Nemoto and W.J. Munro, Phys. Rev. Lett. 93 (2004) 250502.

[19] H. Jeong, Phys. Rev. A 72 (2005) 034305.

[20] B. He, M. Nadeem, and J.A. Bergou, Phys. Rev. A 79 (2009) 035802.

[21] B. He, A.V. Sharypov, J. Sheng, C. Simon, and M. Xiao, Phys. Rev. Lett. 112 (2014) 133606.

[22] Julio Gea-Banacloche, Phys. Rev. A 81 (2010) 043823.

[23] B. He, Q. Lin, and C. Simon, Phys. Rev. A 83 (2011) 053826.

[24] B. He and A. Scherer, Phys. Rev. A 85 (2012) 033814.

[25] M. Fleischhauer, A. Imamo?lu, and J. P. Marangos, Rev. Mod. Phys. 77 (2005) 633.

[26] Y. Wu and L. Deng, Phys. Rev. Lett. 93 (2004) 143904.

[27] Y. Wu and L. Deng, Opt. Lett. 29 (2004) 2064.

[28] G. Huang, L. Deng, and M.G. Payne, Phys. Rev. E 72 (2005) 016617.

[29] L. Deng, M.G. Payne, G. Huang, and E.W. Hagley, Phys. Rev. E 72 (2005) 055601(R).

[30] T.N. Dey, and G.S. Agarwal, Phys. Rev. A 76 (2007) 015802.

[31] H. Schmidt and A. Imamo?lu, Opt. Lett. 21 (1996) 1936.

[32] Y. Wu and L. Deng, Phys. Rev. Lett. 93 (2004) 143904.

[33] G. Huang, L. Deng, and M.G. Payne, Phys. Rev. E 72 (2005) 016617.

[34] Y.P. Niu and S.Q. Gong, Phys. Rev. A 73 (2006) 053811.

[35] J. Javanainen, Europhys. Lett. 17 (1992) 407.

[36] P. Zhou and S. Swain, Phys. Rev. Lett. 77 (1996) 3995.

[37] H. Ali, Ziauddin, and I. Ahmad, Commun. Theor. Phys. 60 (2013) 87.

[38] H. Ali, Ziauddin, and I. Ahmad, Laser Phys. 24 (2014) 025201.

[39] M. Abbas, Ziauddin, and S. Qamar, Laser Phys. Lett. 11 (2014) 015201.

[40] S. Menon and G.S. Agarwal, Phys. Rev. A 57 (1998) 4041.

[41] H. Kang and Y. Zhu, Phys. Rev. Lett. 91 (2003) 093601.

[42] M.O. Scully and M.S. Zubairy, Quantum Optics, Cambridge University Press, Cambridge (1997).

[43] Sunish Menon and G.S. Agarwal, Phys. Rev. A 57 (1998) 4014.

[44] J.E. Heebner, R.W. Boyd, and Q. Park, Phys. Rev. E 65 (2002) 2629.

[45] M.D. Lukin and A. Imamo?lu, Phys. Rev. Lett. 84 (2000) 1419.

[46] C. Liu, Z. Dutton, C.H. Behroozi, and L.V. Hau, Nature (London) 409 (2001) 490.

[47] Z. Shi, R.W. Boyd, D.J. Gauthier, and C.C. Dudley, Opt. Lett. 32 (2007) 915.

[48] S.T. Johns, D.D. Norton, C.W. Keefer, R. Erdmann, and R.A. Soref, Electronics Lett. 29 (1993) 555.

[49] R.D. Esman, M.Y. Frankel, J.L. Dexter, L. Goldberg, M.G. Parent, D. Stilwell, and D.G. Cooper, IEEE Photon. Tech. Lett. 5 (1993) 1347.

[50] M. Saharai, H. Tajalli, K.T. Kapale, and M.S. Zubairy, Phys. Rev. A 70 (2004) 023813.