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Acta Physica Sinica

Dynamical stability of the dark state in an atom-heteronuclear-trimer conversion system

Shao-Ying Meng, Wu Wei, Bin Liu, (1)辽宁大学物理学院，沈阳 110036; (2)中国工程物理研究院北京研究生部，北京 100088; (3)中国工程物理研究院北京研究生部，北京 100088；辽宁大学物理学院，沈阳 110036

Published Jan 1, 2009• 6 citations

Abstract

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.

DOI: 10.7498/aps.58.6902

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