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Journal of Physics B Atomic Molecular and Optical Physics

Instability, adiabaticity and controlling effects of external fields for the dark state in a heteronuclear atom–tetramer conversion system

Shao-Ying Meng, Xihao Chen, Shuang-Ning Ning, Jiamei Wen, Libin Fu

Published Sep 11, 2014• 3 citations
Publisher

Abstract

Instability, adiabaticity and controlling effects of external fields for the dark state in a heteronuclear atom–tetramer conversion system, Meng, Shao-Ying, Chen, Xi-Hao, Ning, Shuang-Ning, Wen, Jia-Mei, Fu, Li-Bin
DOI
10.1088/0953-4075/47/18/185303

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In the present paper, we investigate the instability, adiabaticity, and controlling effects of external fields for a dark state in a homonuclear atom–tetramer conversion that is implemented by a generalized stimulated Raman adiabatic passage. We analytically obtain the regions for the appearance of dynamical instability and study the adiabatic evolution by a newly defined adiabatic fidelity. Moreover, the effects of the external field parameters and the spontaneous emissions on the conversion efficiency are also investigated.
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We investigate the dynamical stability of a dark state of the atom-heteronuclear-trimer conversion system in a stimulated Raman adiabatic passage process. By casting the quantum Hamiltonian into an effective classical one and analyzing the eigenvalues of the Hamiltonian-Jacobi matrix obtained by linearizing the equations of motion around the fixed point corresponding to the dark state, we analytically obtain the condition for the occurrence of the dynamical instability of the atom-trimer dark state. Taking heteronuclear atoms of 87Rb and 41K as an example, we numerically give the unstable region. We find that the dynamical instability is induced by the interparticle interactions. Moreover，the occurrence of the dynamical instability depends on not only the emergence of the real or complex eigenvalues of the Hamiltonian-Jacobi matrix but also the scanning rate of the external fields.