原子-异核-三聚物分子转化系统暗态的动力学不稳定性

研究了受激拉曼绝热过程中原子-异核-三聚物分子转化系统暗态的动力学稳定性.通过将量子哈密顿对应到经典哈密顿，并求解和分析线性化经典运动方程后得到的哈密顿-雅克比矩阵本征值，解析地得到了原子-三聚物暗态的动力学不稳定性发生的条件.并以异核原子⁸⁷Rb和⁴¹K混合凝聚体为例，数值地给出了系统发生动力学不稳定性的区域.研究发现，这种动力学不稳定性是由粒子之间的相互作用带来的.此外，还发现系统动力学不稳定性的发生不仅与哈密顿-雅克比矩阵是否出现实数或复数的本征值有关，还 关键词： 原子-异核-三聚物分子转化系统 暗态 受激拉曼绝热过程 动力学不稳定性

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

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.