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

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

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