Linear instability and adiabaticity of a dark state during conversion of two species of fermionic atoms to stable molecules

doi:10.1088/1674-1056/21/4/040308

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 40308-040308.doi: 10.1088/1674-1056/21/4/040308

孟少英¹,陈希浩¹,吴炜¹,傅立斌² ³

收稿日期:2011-10-28 修回日期:2011-12-05 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 傅立斌, E-mail:lbfu@iapcm.ac.cn E-mail:lbfu@iapcm.ac.cn

Linear instability and adiabaticity of a dark state during conversion of two species of fermionic atoms to stable molecules

Meng Shao-Ying(孟少英)^a), Chen Xi-Hao(陈希浩)^a) , Wu Wei(吴炜)^a), and Fu Li-Bin(傅立斌)^b)c)†

a. Department of Physics, Liaoning University, Shenyang 110036, China;
b. Science and Technology Computation Physics Laboratory, Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China;
c. Center for Applied Physics and Technology, Peking University, Beijing 100871, China

Received:2011-10-28 Revised:2011-12-05 Online:2012-02-29 Published:2012-02-29
Contact: Fu Li-Bin, E-mail:lbfu@iapcm.ac.cn E-mail:lbfu@iapcm.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China(Grants No.11005055,10725521,and 11075020),theNational Fundamental Research of China(Grant No.2011CB921503),the Ph.D.Program Foundation of the Science and Tech-nology Bureau of Liaoning Province of China(Grant No.20111034),the Higher School Excellent Researcher Award Programfrom the the Educational Department of Liaoning Province of China(Grant No.LJQ2011005),and the Youth Fund Project ofLiaoning University(Grant No.2010LDQN17)

摘要/Abstract

Abstract: In the present paper, we investigate the linear instability and adiabaticity of a dark state during conversion of two species of fermionic atoms to stable molecules through the stimulated Raman adiabatic passage aided by Feshbach resonance. We analytically obtain the regions for the appearance of linear instability. Moreover, taking ⁴⁰K and ⁶Li atom-molecule conversion systems as examples, we give the unstable regions numerically. We also attempt to obtain the adiabatic criterion for this nonlinear system with classical adiabatic dynamics and study the adibaticity of the dark state with the adiabatic condition.

Key words: linear instability, adiabaticity, dark state, atom-molecule conversion

中图分类号: (Multicomponent condensates; spinor condensates)

03.75.Mn

03.75.Nt (Other Bose-Einstein condensation phenomena) 03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

孟少英, 陈希浩, 吴炜, 傅立斌. [J]. 中国物理B, 2012, 21(4): 40308-040308.

Meng Shao-Ying(孟少英), Chen Xi-Hao(陈希浩) , Wu Wei(吴炜), and Fu Li-Bin(傅立斌) . Linear instability and adiabaticity of a dark state during conversion of two species of fermionic atoms to stable molecules[J]. Chin. Phys. B, 2012, 21(4): 40308-040308.

参考文献 33

[1]	Greiner M, Regal C A and Jin D S 2003 Nature 426 537
[2]	Regal C A, Ticknor C, Bohn J L and Jin D S 2003 Nature 424 47
[3]	Drummond P D and Kheruntsyan K V 1998 Phys. Rev. Lett. 81 3055
[4]	Wynar R, Freeland R S, Han D J, Ryu C and Heinzen D J 2000 Science 287 1016
[5]	Gerton J M, Strekalov D, Prodan I and Hulet R G 2000 Nature 408 692
[6]	Qi R, Yu X L, Li Z B and Liu W M 2009 Phys. Rev. Lett. 102 185301
[7]	Ji A C, Sun Q, Xie X C and Liu W M 2009 Phys. Rev. Lett. 102 023602
[8]	Ji A C, Liu W M, Song J L and Zhou F 2008 Phys. Rev. Lett. 101 010402
[9]	Bergmann K, Theuer H and Shore B W 1998 Rev. Mod. Phys. 70 1003
[10]	Viteau M, Chotia A, Allegrini M, Bouloufa N, Dulieu O, Comparat D and Pillet P 2008 Science 321 232
[11]	Deiglmayr J, Repp M, Grochola A, et al 2008 arXiv/: 0812.1002v1 [physics: atom-ph]
[12]	Feshbach H 1992 Theoretical Nulear Physics (New York: Wiley)
[13]	Köhler T, Góral K and Julienne P S 2006 Rev. Mod. Phys. 78(4) 1311, and references therein
[14]	Ni K K, Ospelkaus S, de Miranda M H G, Pe閞 A, Neyenhuis B, Zirbel J J, Kotochigova S, Julienne P S, Jin D S and Ye J 2008 Science 322 231
[15]	Regal C A, Ticknor C, Bohn J L and Jin D S 2003 Nature 424 47
[16]	Jochim S, Bartenstein M, Altmeyer A, Hendl G, Riedl S, Chin C, Denschlag J H and Grimm R 2003 Science 302 2101
[17]	Mackie M, Kowalski R and Javanainen J 2000 Phys. Rev. Lett. 84 3803
[18]	Drummond P D, Kheruntsyan K V, Heinzen D J and Wynar R H 2002 Phys. Rev. A 65 063619
[19]	Meng S Y, Fu L B and Liu J 2008 Phys. Rev. A 78 053410
[20]	Meng S Y and Wu W 2009 Acta Phys. Sin. 58 5311 (in Chinese)
[21]	Ling H Y, Pu H and Seaman B 2004 Phys. Rev. Lett. 93 250403
[22]	Lu L H and Li Y Q 2007 Phys. Rev. A 76 053608
[23]	Lu L H and Li Y Q 2008 Phys. Rev. A 77 053611
[24]	Winkler K, Thalhammer G, Theis M, Ritsch H, Grimm R and Denschlag J H 2005 Phys. Rev. Lett. 95 063202
[25]	Gaubatz U, Rudecki P, Schiemann S, Kulz M and Bergmann K 1988 Chem. Phys. Lett. 149 463
[26]	Wu B and Niu Q 2001 Phys. Rev. A 64 061603(R)
[27]	Meng S Y, Fu L B and Liu J 2009 Phys. Rev. A 79 063415
[28]	Chen H J, Li G Q and Xue J K 2011 Acta Phys. Sin. 60 040304 (in Chinese)
[29]	Meng S Y, Wu W, Chen X H and Fu L B 2011 Chin. Phys. B 20 080309
[30]	Liu J, Wu B and Niu Q 2003 Phys. Rev. Lett. 90 170404
[31]	Wang G F, Ye D F, Fu L B, Chen X Z and Liu J 2006 Phys. Rev. A 74 033414
[32]	Meng S Y, Fu L B and Liu J 2009 Int. J. Mod. Phys. C 20 1011
[33]	Landau L D and Lifshitz E M 1976 Mechanics 3rd edn. (Oxford: Pergamon)

Linear instability and adiabaticity of a dark state during conversion of two species of fermionic atoms to stable molecules

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