标题： 准粒子图像在高维纠缠哈密顿量中的应用 显示英文标题

标题： Quasiparticle Picture for Entanglement Hamiltonians in Higher Dimensions

摘要： 我们采用纠缠演化的准粒子图景，以获得在自由费米系统中经过量子淬火后的非平衡纠缠哈密顿量在流体力学尺度的有效描述，这些系统在两个或更多空间维度中。 具体来说，我们在几何允许的情况下应用维数约简技术，直接建立在二维系统已有的结果之上。 随后，我们将分析推广到涵盖更广泛的几何结构。 我们得到了适用于弹道尺度的纠缠哈密顿量的解析表达式，这些表达式再现了已知的准粒子图景对Renyi熵和完整计数统计的预测。 我们还通过考虑几种初始配置的量子淬火，以极高的精度对结果进行了数值验证。 显示英文摘要

摘要： We employ the quasiparticle picture of entanglement evolution to obtain an effective description for the out-of-equilibrium Entanglement Hamiltonian at the hydrodynamical scale following quantum quenches in free fermionic systems in two or more spatial dimensions. Specifically, we begin by applying dimensional reduction techniques in cases where the geometry permits, building directly on established results from one-dimensional systems. Subsequently, we generalize the analysis to encompass a wider range of geometries. We obtain analytical expressions for the entanglement Hamiltonian valid at the ballistic scale, which reproduce the known quasiparticle picture predictions for the Renyi entropies and full counting statistics. We also numerically validate the results with excellent precision by considering quantum quenches from several initial configurations.