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量子耗散与量子输运的级联方程组方法
- 郑晓1, 徐瑞雪1, 许健2, 金锦双3, 胡洁2,4, 严以京*1,2
作者信息
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Hierarchical Equations of Motion for Quantum Dissipation and Quantum Transport
- Zheng Xiao1, Xu Ruixue1, Xu Jian2, Jin Jinshuang3, Hu Jie2,4, Yan Yijing1,2
Author information
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文章历史
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摘要
级联方程已成为研究量子开放系统的稳态性质和动力学过程的重要方法。本文旨在系统综述量子耗散和量子输运的级联方程组方法的建立、发展以及在理论、算法和应用方面的一些最新进展。级联方程形式理论的建立以影响泛函路径积分为基础,并具有数值上的高效性和应用上的灵活性,可用于研究分子体系的复杂动力学过程以及强关联电子体系中的量子输运。其级联耦合结构以非微扰的方式揭示了多体相互作用、体系-环境耦合、非马尔可夫记忆等的综合效应。作为应用示例,我们采用级联方程模拟了生物光富集体系的二维相干动力学光谱以及含时电子输运过程中的动态近藤效应。
Abstract
In this review we give a comprehensive account of a hierarchical equations of motion (HEOM) approach to the characterization ofstationary and dynamic properties of open quantum systems.This approach is rooted at the Feynman-Vernon influence functional path integral formalism, but much more implementable numerically and operationally for the study of various complex molecular dynamics and quantum transport in strongly correlated electronic systems.By construction, HEOM resolves nonperturbatively the combined effects of many-particle interaction, system-bath coupling,and non-Markovian memory.Finally the practicality of HEOM to address physical and chemical problems is exemplified with a model simulation of coherent two-dimensional spectroscopy signals of a biological light-harvesting system and a time-dependent quantum transport system involving dynamic Kondo transition.
关键词
量子耗散 / 量子输运 / 开放体系 / 级联方程组 {{custom_keyword}} /
Key words
quantum dissipation / quantum transport / open system / hierarchical equation of notion (HEOM) {{custom_keyword}} /
中图分类号：
O641.12
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