Nonequilibrium Dynamics and Weakly Broken Integrability,Physical Review Letters

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Nonequilibrium Dynamics and Weakly Broken Integrability
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-09-20 , DOI: 10.1103/physrevlett.127.130601
Joseph Durnin ₁ , M J Bhaseen ₂ , Benjamin Doyon ₁

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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 prethermalization 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 theory. In particular, we identify a family of perturbations which do not cause thermalization in the weakly perturbed regime.

中文翻译：

非平衡动力学和弱可积分性

受冷原子气体动力学实验的启发，我们开发了一种量子动力学方法来处理超出平衡的弱微扰可积模型。使用基础可积模型的精确矩阵元素，我们建立了一种实时动态分析方法。该方法涉及广泛的时间尺度，从预热化的中间状态到后期热化。给出了物理量随时间演变的预测，包括有效温度和热化率。该方法提供了扰动量子多体动力学和经典 Kolmogorov-Arnold-Moser 理论之间的概念联系。特别是，我们确定了一系列在弱扰动状态下不会引起热化的扰动。

更新日期：2021-09-20

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