原子-异核-三聚物分子转化系统暗态的动力学不稳定性  

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

作　　者：孟少英[1,2] 吴炜[2] 刘彬[1] 

机构地区：[1]中国工程物理研究院北京研究生部,北京100088 [2]辽宁大学物理学院,沈阳110036

出　　处：《物理学报》2009年第10期6902-6907,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10674174;10604009);辽宁省自然科学基金(批准号:20072054)资助的课题~~

摘　　要：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,还与外场扫描速率有关.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 87 Rb and 41 K 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.

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 

分 类 号：O431.2[机械工程—光学工程]