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In this paper, the Raman scattering spectra of cold atomic gas in different environments are closely calculated. Comparing the spectra from the atoms in free and trapped environments, the calculation result gives a right spectrum structure for the free atoms and reveals a distinct high-gain spectrum exhibiting a comb-like structure for the harmonic trapped atoms. The spectral peaks of the trapped spectrum are uniformly distributed and the distance between adjacent spectral peaks exactly equals the frequency of the trap. The nonlinear gain scheme and the gain conditions of the Raman scattering process are clearly given in this paper.
[1] Chu Steven, Hollberg L, Bjorkholm J E, Cable A, Ashkin A 1985 Phys. Rev. Lett. 55 48
[2] Pierre Meystre, Murray Sargent III Elements of Quantum Optics, 4th edition, Springer, Berlin Heidelberg New York, Chapter 9: Saturation Spectroscopy, p223 and Chapter 16: Resonance Fluorescence, p383
[3] Wu F Y, Ezekiel S, Ducloy M, Mollow B R 1997 Phys. Rev. Lett. 38 1077
[4] Guo J, Berman P R, Dubetsky B, Grynberg G 1992 Phys. Rev. A 46 1426 Brzozowski T M, Brzozowska M, Zachorowski J, Zawada M and Gawlik W 2005 Phys. Rev. A 71 013401
[5] Grison D, Lounis B, Salomon C, Courtois J Y, Grynberg G 1991 Europhys. Lett. 15 149
[6] Preston D W 1996 Am. J. Phys. 64 1432
[7] Razdan K, Van Baak D A 1999 Am. J. Phys. 67 832
[8] Bonifacio R, Salvo L De 1994 Nucl. Instrum. Methods Phys. Res. A 341 360 Bonifacio R 1995 Phys. Res. A 50 1716
[9] Berman P R 1999 Phys. Rev. A 59 585
[10] Hemmer P R, Bigelow N P, Katz D P, Shahriar M S, DeSalvo L, Bonifacio R 1996 Phys. Rev. Lett. 77 1468 Inouye S, Löw R F, Gupta S, Pfau T, Görlitz A, Gustavson T L, Pritchard D E, Ketterle W 2000 Phys. Rev. Lett. 85 4225
[11] Slama S, Bux S, Krenz G, Zimmermann C, Courteille P W 2007 Phys. Rev. Lett. 98 053603 Slama S, Krenz G, Bux S, Zimmermann C, Courteille P W 2007 Phys. Rev. A 75 063620
[12] Deng L, Payne M G, Hagley E W 2010 Phys. Rev. Lett. 104 050402
[13] Zhou X J 2009 Phys. Rev. A 80 023818
[14] S. Inouye, Chikkatur A P, Stamper-Kurn DM, Stenger J, Pritchard D E, Ketterle W 1999 Science 285 571
[15] Yang G J, Zhang Lin, Shu W 2003 Phys. Rev. A 68 063802
[16] Zhang L, Kong H Y, Yang G J 2006 Acta Phys. Sin. 55 5122 (in Chinese) [张林, 孔红艳, 杨国健 2006 55 5122]
[17] Abate J A 1974 Opt. Commun. 10 269
[18] Kruse D, Cube C von, Zimmermann C, Courteille Ph W 2003 Phys. Rev. Lett. 91 183601
[19] Horak P, Gheri K M, Ritsch H 1995 Phys. Rev. A 52 554
[20] Guo J, Berman P R, Dubetsky B, Grynberg G 1992 Phys. Rev. A 46 1426
[21] Madey J M 1979 Nuovo Cimento 50 64 Bonifacio R, Meystre P, Moore G T, Scully M O 1980 Phys. Rev. A 21 2009
[22] Deng L, Hagley E W, Cao Q, Wang X R, Luo X Y, Wang R Q, Payne M G, Yang F, Zhou X J, Chen X, Zhan M S 2010 Phys. Rev. Lett. 105 220404
[23] Vogel W, de Matos Filho R L 1995 Phys. Rev. A 52 4214
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[1] Chu Steven, Hollberg L, Bjorkholm J E, Cable A, Ashkin A 1985 Phys. Rev. Lett. 55 48
[2] Pierre Meystre, Murray Sargent III Elements of Quantum Optics, 4th edition, Springer, Berlin Heidelberg New York, Chapter 9: Saturation Spectroscopy, p223 and Chapter 16: Resonance Fluorescence, p383
[3] Wu F Y, Ezekiel S, Ducloy M, Mollow B R 1997 Phys. Rev. Lett. 38 1077
[4] Guo J, Berman P R, Dubetsky B, Grynberg G 1992 Phys. Rev. A 46 1426 Brzozowski T M, Brzozowska M, Zachorowski J, Zawada M and Gawlik W 2005 Phys. Rev. A 71 013401
[5] Grison D, Lounis B, Salomon C, Courtois J Y, Grynberg G 1991 Europhys. Lett. 15 149
[6] Preston D W 1996 Am. J. Phys. 64 1432
[7] Razdan K, Van Baak D A 1999 Am. J. Phys. 67 832
[8] Bonifacio R, Salvo L De 1994 Nucl. Instrum. Methods Phys. Res. A 341 360 Bonifacio R 1995 Phys. Res. A 50 1716
[9] Berman P R 1999 Phys. Rev. A 59 585
[10] Hemmer P R, Bigelow N P, Katz D P, Shahriar M S, DeSalvo L, Bonifacio R 1996 Phys. Rev. Lett. 77 1468 Inouye S, Löw R F, Gupta S, Pfau T, Görlitz A, Gustavson T L, Pritchard D E, Ketterle W 2000 Phys. Rev. Lett. 85 4225
[11] Slama S, Bux S, Krenz G, Zimmermann C, Courteille P W 2007 Phys. Rev. Lett. 98 053603 Slama S, Krenz G, Bux S, Zimmermann C, Courteille P W 2007 Phys. Rev. A 75 063620
[12] Deng L, Payne M G, Hagley E W 2010 Phys. Rev. Lett. 104 050402
[13] Zhou X J 2009 Phys. Rev. A 80 023818
[14] S. Inouye, Chikkatur A P, Stamper-Kurn DM, Stenger J, Pritchard D E, Ketterle W 1999 Science 285 571
[15] Yang G J, Zhang Lin, Shu W 2003 Phys. Rev. A 68 063802
[16] Zhang L, Kong H Y, Yang G J 2006 Acta Phys. Sin. 55 5122 (in Chinese) [张林, 孔红艳, 杨国健 2006 55 5122]
[17] Abate J A 1974 Opt. Commun. 10 269
[18] Kruse D, Cube C von, Zimmermann C, Courteille Ph W 2003 Phys. Rev. Lett. 91 183601
[19] Horak P, Gheri K M, Ritsch H 1995 Phys. Rev. A 52 554
[20] Guo J, Berman P R, Dubetsky B, Grynberg G 1992 Phys. Rev. A 46 1426
[21] Madey J M 1979 Nuovo Cimento 50 64 Bonifacio R, Meystre P, Moore G T, Scully M O 1980 Phys. Rev. A 21 2009
[22] Deng L, Hagley E W, Cao Q, Wang X R, Luo X Y, Wang R Q, Payne M G, Yang F, Zhou X J, Chen X, Zhan M S 2010 Phys. Rev. Lett. 105 220404
[23] Vogel W, de Matos Filho R L 1995 Phys. Rev. A 52 4214
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