论文标题
非平衡电子偶联系统的随机半古老理论
Stochastic semiclassical theory for non-equilibrium electron-phonon coupled systems
论文作者
论文摘要
我们讨论了一种在非平衡动力学平均场理论中为电子静态模型解决量子杂质模型的半经典方法。电子波动对声子的影响保持在eHrenfest动力学之外，从而导致随机的声子演化，并以阻尼和噪声项为单位，这些术语由波动声子场中的电子相关函数自我确定。连同基于非扰动量子玻尔兹曼方程的电子模型的解决方案，该方法可用于在光诱导的相换过程中解决电子和晶格的耦合动力学。 Anderson-Holstein模型的结果根据数值精确的量子蒙特卡洛数据进行了基准测试。我们发现在与电荷排序温度相当的温度下，声子分布函数的良好一致性。一般公式可以扩展到具有电子 - 电子相互作用或多轨系统的模型。
We discuss a semiclassical approach to solve the quantum impurity model within non-equilibrium dynamical mean-field theory for electron-lattice models. The effect of electronic fluctuations on the phonon is kept beyond Ehrenfest dynamics, leading to a stochastic phonon evolution with damping and noise terms that are self-consistently determined by the electronic correlation functions in the fluctuating phonon field. Together with a solution of the electronic model based on a non-perturbative quantum Boltzmann equation, the approach can be used to address the coupled dynamics of the electrons and the lattice during photo-induced phase transitions. Results for the Anderson-Holstein model are benchmarked against numerically exact quantum Monte Carlo data. We find good agreement for the phonon distribution function at temperatures comparable to the charge ordering temperature. The general formulation can be extended to models with electron-electron interactions or multi-orbital systems.
