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arXiv 1704.07477physics.chem-ph
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凝聚相非绝热动力学的混合记忆核方法

A hybrid memory kernel approach for condensed phase non-adiabatic dynamics

Diptarka Hait, Michael G. Mavros, Troy Van Voorhis

摘要:

自旋-玻色子模型是一种简化的哈密顿量,常用于研究大型凝聚相系统的非绝热动力学,尽管它还没有完全解析地求解。在这里,我们提出了一个精确的解析表达式的自旋玻色子模型的动力学在无限慢浴极限和推广到近似动力学更快的浴。我们实现后者通过开发一种混合的方法,结合了精确的慢浴结果与流行的NIBA方法,以产生一个内存内核,是正式的精确到二阶非绝热耦合,但也包含高阶的贡献近似从二阶项单独。这个内核具有相同的计算复杂性NIBA,但被发现产生显着优越的动态制度,NIBA打破-如系统与大非绝热耦合或能量偏差。这表明,这种混合方法可以用来廉价地将高阶的影响到二阶方法,并可能被推广到开发替代核重算计划。

英文摘要:

The spin-boson model is a simplified Hamiltonian often used to study non-adiabatic dynamics in large condensed phase systems, even though it has not been solved in a fully analytic fashion. Herein, we present an exact analytic expression for the dynamics of the spin-boson model in the infinitely slow bath limit and generalize it to approximate dynamics for faster baths. We achieve the latter by developing a hybrid approach that combines the exact slow-bath result with the popular NIBA method to generate a memory kernel that is formally exact to second order in the diabatic coupling but also contains higher-order contributions approximated from the second order term alone. This kernel has the same computational complexity as NIBA, but is found to yield dramatically superior dynamics in regimes where NIBA breaks down---such as systems with large diabatic coupling or energy bias. This indicates that this hybrid approach could be used to cheaply incorporate higher order effects into second order methods, and could potentially be generalized to develop alternate kernel resummation schemes.

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