We study quantum quenches in the transverse-field Ising model defined on different lattice geometries such as chains, two- and three-leg ladders, and two-dimensional square lattices. Starting from fully polarized initial states, we consider the dynamics of the transverse and the longitudinal magnetization for quenches to weak, strong, and critical values of the transverse field. To this end, we rely on an efficient combination of numerical linked cluster expansions (NLCEs) and a forward propagation of pure states in real time. As a main result, we demonstrate that NLCEs comprising solely rectangular clusters provide a promising approach to study the real-time dynamics of two-dimensional quantum many-body systems directly in the thermodynamic limit. By comparing to existing data from the literature, we unveil that NLCEs yield converged results on time scales which are competitive to other state-of-the-art numerical methods.

中文翻译：

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横向场伊辛模型中的量子猝灭动力学：链接的矩形簇中的数值展开

我们在横向场Ising模型中研究了量子猝灭，该模型是在不同晶格几何结构（例如链，两腿和三腿梯子和二维方格子）上定义的。从完全极化的初始状态开始，我们考虑了横向和纵向磁化的动力学，从而将淬火激化为横向场的弱，强和临界值。为此，我们依赖于数值链接簇扩展（NLCE）和实时纯正向传播的有效组合。作为主要结果，我们证明了仅由矩形簇组成的NLCE提供了一种有前途的方法，可以直接在热力学极限条件下研究二维量子多体系统的实时动力学。通过与文献中的现有数据进行比较，