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We present a theoretical scheme for conversion from ultracold atoms to heteronuclear tetrameric molecule A3B via Efimov resonace-assisted stimulated Raman adiabatic passage (ER-STIRAP). The dark state solutions of the system are obtianed for two different pathways. For the first pathway, the intermediate state is populated by homonuclear Efimov trimer A3, and the second one by heteronuclear Efimov trimer A2B. The feasibility and the effectiveness of the scheme are also verified. Meanwhile, we investigate the effects of external field parameters, including the intensity of associated laser pulses, its width, magnetic coupling strength and its detuning, on the fomation of heteronuclear tetrameric molecules. By comparison, it is found that the ultimate yield of the tetrameric molecules for the second pathway is less than ones for the first pathway. In addition, the effects of the intrinsic nolinearity of the system and the spontaneous decay in the intermediate state on the tetramer formation are discussed.
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Keywords:
- heteronuclear tetrameric molecule /
- stimulated Raman adiabatic passage /
- adiabatic fidelity /
- conversion efficiency
[1] Carr L D, DeMille D, Krems R V, Ye J 2009 New J. Phys. 11 055049
[2] Chin Cheng, Flambaum V V, Kozlov M G 2009 New J. Phys. 11 055048
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[5] Köhler T, Góral K, Julienne P 2006 Rev. Mod. Phys. 78 1311
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[9] Mackie M, Härkönen K, Collin A, Suominen K A, Javanainen J 2004 Phys. Rev. A 70 013614
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[11] Mackie M 2002 Phys. Rev. A 66 043613
[12] Mackie M, DeBrosse C 2010 Phys. Rev. A 81 043625
[13] Winkler K, Thalhammer G, Theis M, Ritsch H, Grimm R, Denschlag J H 2005 Phys. Rev. Lett. 95 063202
[14] Ling H Y, Pu H, Seaman B 2004 Phys. Rev. Lett. 93 250403
[15] H. Jing, J. Cheng, P. Meystre 2008 Phys. Rev. A 77 043614
[16] Jing H, Jiang Y 2008 Phys. Rev. A 77 065601
[17] Kraemer T, Mark M, Waldburger P, Danzl J G, Chin C, Engeser B, Lange A D, Pilch K, Jaakkola A, Nägerl H C, Grimm R 2006 Nature 440 315
[18] Knoop S, Ferlaino F, Mark M, Berninger M, Schoebel H, Nägerl H C, Grimm R 2009 Nature Phys. 5 227
[19] Ottenstein T B, Lompe T, Kohnen M, Wenz A N, Jochim S 2008 Phys. Rev. Lett. 101 203202
[20] Huckans J H, Williams J R, Hazlett E L, Stites R W, O'Hara K M 2009 Phys. Rev. Lett. 102 165302
[21] Zaccanti M, Deissler B, D'Errico C, Fattori M, Jona-Lasinio M, Muller S, Roati G., Inguscio M, Modugno G. 2009 Nature Phys. 5 586
[22] Barontini G, Weber C, Rabatti F, Catani J, Thalhammer G, Inguscio M, Minardi F 2009 Phys. Rev. Lett. 103 043201
[23] Efimov V 1970 Phys. Lett. B 33 563
[24] Braaten E, Hammer H W 2006 Phys. Rep. 428 259
[25] Bergmann K, Theuer H, Shore B W 1998 Rev. Mod. Phys. 70 1003
[26] Meng S Y, Fu L B, Chen J, Liu J 2009 Phys. Rev. A 79 063415
[27] Meng S Y, Fu L B, Liu J 2008 Phys. Rev. A 78 053410
[28] Lu L H, Li Y Q 2008 Phys. Rev. A 77 053611
[29] Meng S Y, Wu W 2009 Acta Phys. Sin. 58 5311 (in Chinese) [孟少英, 吴炜 2009 58 5311]
[30] Meng S Y, Wu W, Liu B 2009 Acta Phys. Sin. 58 6902 (in Chinese) [孟少英, 吴炜, 刘彬 2009 58 6902]
[31] Meng S Y, Wu W, Liu B, Ye D F, Fu L B 2009 Chin. Phys. B 18 3844
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[1] Carr L D, DeMille D, Krems R V, Ye J 2009 New J. Phys. 11 055049
[2] Chin Cheng, Flambaum V V, Kozlov M G 2009 New J. Phys. 11 055048
[3] Cronin A D, Schmiedmayer J, Pritchard D E 2009 Rev. Mod. Phys. 81 1051
[4] Jones K M, Tiesinga E, Lett P D, Julienne P 2006 Rev. Mod. Phys. 78 483
[5] Köhler T, Góral K, Julienne P 2006 Rev. Mod. Phys. 78 1311
[6] Chin Cheng, Grimm R, Julienne P, Tiesinga E 2010 Rev. Mod. Phys. 82 1225
[7] Mackie M, Kowalski R, Javanainen J 2000 Phys. Rev. Lett. 84 3803
[8] Drummond P D, Kheruntsyan K V, Heinzen D J, Wynar R H 2002 Phys. Rev. A 65 063619
[9] Mackie M, Härkönen K, Collin A, Suominen K A, Javanainen J 2004 Phys. Rev. A 70 013614
[10] Meng S Y, Liu J 2010 Prog. Phys. 30 280 (in Chinese) [孟少英, 刘杰 2010 物理学进展 30 280]
[11] Mackie M 2002 Phys. Rev. A 66 043613
[12] Mackie M, DeBrosse C 2010 Phys. Rev. A 81 043625
[13] Winkler K, Thalhammer G, Theis M, Ritsch H, Grimm R, Denschlag J H 2005 Phys. Rev. Lett. 95 063202
[14] Ling H Y, Pu H, Seaman B 2004 Phys. Rev. Lett. 93 250403
[15] H. Jing, J. Cheng, P. Meystre 2008 Phys. Rev. A 77 043614
[16] Jing H, Jiang Y 2008 Phys. Rev. A 77 065601
[17] Kraemer T, Mark M, Waldburger P, Danzl J G, Chin C, Engeser B, Lange A D, Pilch K, Jaakkola A, Nägerl H C, Grimm R 2006 Nature 440 315
[18] Knoop S, Ferlaino F, Mark M, Berninger M, Schoebel H, Nägerl H C, Grimm R 2009 Nature Phys. 5 227
[19] Ottenstein T B, Lompe T, Kohnen M, Wenz A N, Jochim S 2008 Phys. Rev. Lett. 101 203202
[20] Huckans J H, Williams J R, Hazlett E L, Stites R W, O'Hara K M 2009 Phys. Rev. Lett. 102 165302
[21] Zaccanti M, Deissler B, D'Errico C, Fattori M, Jona-Lasinio M, Muller S, Roati G., Inguscio M, Modugno G. 2009 Nature Phys. 5 586
[22] Barontini G, Weber C, Rabatti F, Catani J, Thalhammer G, Inguscio M, Minardi F 2009 Phys. Rev. Lett. 103 043201
[23] Efimov V 1970 Phys. Lett. B 33 563
[24] Braaten E, Hammer H W 2006 Phys. Rep. 428 259
[25] Bergmann K, Theuer H, Shore B W 1998 Rev. Mod. Phys. 70 1003
[26] Meng S Y, Fu L B, Chen J, Liu J 2009 Phys. Rev. A 79 063415
[27] Meng S Y, Fu L B, Liu J 2008 Phys. Rev. A 78 053410
[28] Lu L H, Li Y Q 2008 Phys. Rev. A 77 053611
[29] Meng S Y, Wu W 2009 Acta Phys. Sin. 58 5311 (in Chinese) [孟少英, 吴炜 2009 58 5311]
[30] Meng S Y, Wu W, Liu B 2009 Acta Phys. Sin. 58 6902 (in Chinese) [孟少英, 吴炜, 刘彬 2009 58 6902]
[31] Meng S Y, Wu W, Liu B, Ye D F, Fu L B 2009 Chin. Phys. B 18 3844
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