Complex dynamics of non-equilibrium quantum systems

这个项目将使用统计力学的新概念和方法来研究原子和凝聚态物理学中感兴趣的开放量子系统的非平衡动力学。特别关注开放量子系统的量子轨迹集合的统计特性，包括具有连续时间动力学（例如由马尔可夫主算子生成）的系统和具有离散动力学（通过量子映射和/或周期性驱动动力学演化）的系统。一个主要的目标将是发现非常规的非平衡相和动态过渡，在这些系统。该项目将涉及分析和计算工作的结合，包括机器学习方法的可能应用。

This project will be about using novel concepts and methods of statistical mechanics to study the non-equilibrium dynamics of open quantum systems of interest in both atomic and condensed matter physics. Particular focus will be put on the statistical properties of ensembles of quantum trajectories of open quantum systems, both for those systems with continuous-time dynamics (for example as generated by Markovian master operators) and those with discrete dynamics (evolving via quantum maps and/or periodically driven dynamics). A main aim will be to uncover unconventional non-equilibrium phases and dynamical transitions in these systems. The project will involve a combination of analytical and computational work, including the possible application of machine learning methods.