论文标题
非平衡动力学和弱损坏的集成性
Non-Equilibrium Dynamics and Weakly Broken Integrability
论文作者
论文摘要
通过在冷原子气体上进行动力学实验的促进，我们开发了一种量子动力学方法，以平衡的弱扰动的可积分模型。使用基础可集成模型的确切矩阵元素，我们建立了一种分析方法来实时动力学。该方法解决了广泛的时间尺度，从预热化的中间状态到延迟升温。预测物理量的时间进化，包括有效的温度和热率。该方法提供了扰动的量子多体动力学与经典的Kolmogorov-Arnold-Moser（KAM）理论之间的概念联系。特别是，我们确定了一个扰动家族，该家族不会在弱扰动状态下引起热化。
Motivated by dynamical experiments on cold atomic gases, we develop a quantum kinetic approach to weakly perturbed integrable models out of equilibrium. Using the exact matrix elements of the underlying integrable model we establish an analytical approach to real-time dynamics. The method addresses a broad range of timescales, from the intermediate regime of pre-thermalization to late-time thermalization. Predictions are given for the time-evolution of physical quantities, including effective temperatures and thermalization rates. The approach provides conceptual links between perturbed quantum many-body dynamics and classical Kolmogorov-Arnold-Moser (KAM) theory. In particular, we identify a family of perturbations which do not cause thermalization in the weakly perturbed regime.
