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Chin. Phys. B, 2012, Vol. 21(4): 040308    DOI: 10.1088/1674-1056/21/4/040308
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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
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.
Keywords:  linear instability      adiabaticity      dark state      atom-molecule conversion  
Received:  28 October 2011      Revised:  05 December 2011      Accepted manuscript online: 
PACS:  03.75.Mn (Multicomponent condensates; spinor condensates)  
  03.75.Nt (Other Bose-Einstein condensation phenomena)  
  03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)  
Fund: 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)
Corresponding Authors:  Fu Li-Bin, E-mail:lbfu@iapcm.ac.cn     E-mail:  lbfu@iapcm.ac.cn

Cite this article: 

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 2012 Chin. Phys. B 21 040308

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