标题： 弱耗散下时间依赖的GGE的准确性 显示英文标题

标题： Accuracy of time-dependent GGE under weak dissipation

摘要： 可积的单元模型通常会退化为一个平稳的广义吉布斯系综（GGE），但在实验实现中，耗散通常会破坏可积性。在本工作中，我们使用最近引入的时间依赖GGE（t-GGE）方法来描述受原子损失和增益影响的玻色气体的开放动力学。我们采用张量网络方法，在绝热耗散极限下提供t-GGE精确性的数值证据，并在弱但有限耗散的范围内提供其准确性的数值证据。通过快速度分布测试了两点函数的准确性，并通过非高斯性度量测试了更复杂的关联。我们将这种描述与广义流体力学相结合，并证明它正确地捕捉了欧拉尺度上的输运。我们的结果表明，t-GGE方法在均匀和非均匀情况下都具有鲁棒性。 显示英文摘要

摘要： Unitary integrable models typically relax to a stationary Generalized Gibbs Ensemble (GGE), but in experimental realizations dissipation often breaks integrability. In this work, we use the recently introduced time-dependent GGE (t-GGE) approach to describe the open dynamics of a gas of bosons subject to atom losses and gains. We employ tensor network methods to provide numerical evidence of the exactness of the t-GGE in the limit of adiabatic dissipation, and of its accuracy in the regime of weak but finite dissipation. That accuracy is tested for two-point functions via the rapidity distribution, and for more complicated correlations through a non-Gaussianity measure. We combine this description with Generalized Hydrodynamics and we show that it correctly captures transport at the Euler scale. Our results demonstrate that the t-GGE approach is robust in both homogeneous and inhomogeneous settings.