标题： 无相互作用无序链与局部林德布洛德浴的数值研究 显示英文标题

标题： Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath

摘要： 无序可以阻止多体量子系统达到热平衡，导致多体局域相。 近期的研究表明，由低无序区域引起的非微扰效应可能会使局域相不稳定。 然而，相互作用系统的数值模拟通常只能在小系统尺寸下进行，其中有限尺寸效应可能占主导地位。 在这里，我们对与边界处局部林德布拉特定律浴耦合的非相互作用无序自旋链进行了数值研究。 我们的结果揭示了在浴耦合的安德森和阿布里-安德烈-哈珀模型中，林德布拉德间隙存在强烈的有限尺寸效应，导致其随系统尺寸呈现非单调行为。 我们讨论了一个与局部林德布拉特定律浴耦合的简单玩具模型的弛豫特性，并将其特征与其非相互作用局域链的特征联系起来。 我们对这些发现对多体系统的意义进行了评论。 显示英文摘要

摘要： Disorder can prevent many-body quantum systems from reaching thermal equilibrium, leading to a many-body localized phase. Recent works suggest that nonperturbative effects caused by rare regions of low disorder may destabilize the localized phase. However, numerical simulations of interacting systems are generically possible only for small system sizes, where finite-size effects might dominate. Here we perform a numerical investigation of noninteracting disordered spin chains coupled to a local Lindblad bath at the boundary. Our results reveal strong finite-size effects in the Lindbladian gap in both bath-coupled Anderson and Aubry-Andr\'e-Harper models, leading to a non-monotonic behavior with the system size. We discuss the relaxation properties of a simple toy model coupled to local Lindblad baths, connecting its features to those of noninteracting localized chains. We comment on the implications of our findings for many-body systems.