受驱动量子系统中的热输运：Floquet-Redfield方程与瞬时本征基下主方程的比较
Heat transport in driven quantum systems: Comparison between the Floquet-Redfield equation and the master equation in the instantaneous eigenbasis
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中文总结 AI 辅助
该研究结合主方程与Floquet方法，针对受驱动自旋玻色子模型，对比无近似的Floquet-Redfield方程与含近似的主方程在热输运研究中的结果，还讨论了相关绝热区，为热输运研究提供参考。
中文摘要 AI 辅助
我们结合主方程与Floquet方法，对周期受驱动量子系统中的热输运展开全面研究。给出弱耦合Redfield理论内的精确结果（无马尔可夫或旋波近似），并与含进一步近似的替代方法对比。针对受驱动自旋玻色子模型，提供其对应合适驱动 regime 的数值与解析结果，还讨论了与热机相关的绝热 regime。
英文摘要
We provide a comprehensive study of heat transport in periodically driven quantum systems using a master equation approach in the Floquet basis. Starting from the exact, formal expressions, we obtain, within the weak coupling regime of system-bath coupling, a generalized Floquet-Redfield master equation which does not involve Markovian or secular approximations and the corresponding formula for the heat current. From this approach we derive the standard, full secular master equation. Moreover, we present a master equation for the driven spin-boson model in the instantaneous eigenbasis. The different approaches are compared by applying them to the steady-state heat transport in the driven spin-boson model. An analytical solution is provided for the master equation in the instantaneous eigenbasis which reproduces the numerics and explains the features of the heat current as a function of the drive parameters.
发表机构
- Aalto University School of Science（阿尔托大学科学学院）
- Chalmers University of Technology（查尔姆斯理工大学）
- Pritzker School of Molecular Engineering, University of Chicago（芝加哥大学普里茨克分子工程学院）
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