论文标题
非平衡量子动力学的界限
Bounds in Nonequilibrium Quantum Dynamics
论文作者
论文摘要
我们回顾了有关几个级别和多体量子系统中平衡动力学不平衡动力学的各种界限。我们主要关注封闭的量子系统，但还将提及开放量子系统和经典随机系统的一些相关结果。我们从速度限制开始，即（量子或经典）动态演变的速度的通用界限。然后，我们转向审查量子系统平衡或热效的范围。之后，我们专注于在多体系统中由当地设定的严格约束，严格形式化为Lieb-Robinson Bound。我们还回顾了与纠缠动态有关的界限，纠缠的动态，即真正的量子特性。除了其他一些其他主题外，还讨论了近似量子动力学的几个显着误差界。虽然远非全面，但该主题评论涵盖了最近的大量进展，因此有望为有兴趣的读者提供便捷的起点和最新指导。
We review various bounds concerning out-of-equilibrium dynamics in few-level and many-body quantum systems. We primarily focus on closed quantum systems but will also mention some related results for open quantum systems and classical stochastic systems. We start from the speed limits, the universal bounds on the speeds of (either quantum or classical) dynamical evolutions. We then turn to review the bounds that address how good and how long would a quantum system equilibrate or thermalize. Afterward, we focus on the stringent constraint set by locality in many-body systems, rigorously formalized as the Lieb-Robinson bound. We also review the bounds related to the dynamics of entanglement, a genuine quantum property. Apart from some other miscellaneous topics, several notable error bounds for approximated quantum dynamics are discussed. While far from comprehensive, this topical review covers a considerable amount of recent progress and thus could hopefully serve as a convenient starting point and up-to-date guidance for interested readers.
