光晶格上分子扩散的有效朗之万方程方法
Effective Langevin Equation Approach to the Molecular Diffusion on Optical Lattices
摘要：
光学微操纵技术已经发展成为一种强有力的工具，可以有效地操纵微观粒子在周期和准周期势上的运动，并由外部电磁场驱动。在这里，分子扩散的动力学光晶格的开放系统的理论框架内进行了分析，极性分子耦合到一个瞬态电磁场。使用正常模式的字段展开，我们推导出一个有效的，广义朗之万方程，它描述了沿分子自由度的系统的运动。本方法是普遍适用的（对于具有非零永久偶极矩的分子），并且它在光晶格上的分子输运机制的控制中打开了广泛的应用。适当的模型外场的数值分析表明，在所产生的朗之万方程中忽略记忆项的可行性。
英文摘要：
Optical micro-manipulation techniques has evolved into powerful tools to efficiently steer the motion of microscopical particles on periodic and quasi-periodic potentials, driven by the external electromagnetic field. Here, the dynamics of molecular diffusion on optical lattices is analysed within the framework of the theory of open systems, for polar molecules coupled to a transient electromagnetic field. Using the normal mode expansion of the field, we derive an effective, generalised Langevin equation which describes the motion of the system along the molecular degrees of freedom. The present approach is universally applicable (for molecules with non-vanishing permanent dipole moment) and it opens a wide spectrum of applications in the control of the molecular transport mechanisms on optical lattices. The numerical analysis of suitable model external fields demonstrates the feasibility of neglecting memory terms in the resulting Langevin equation.
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