标题： 局部Lindbladians中的开放系统动力学与混沌谱 显示英文标题

标题： Open system dynamics in local Lindbladians with chaotic spectra

摘要： 我们研究了对于一般的Lindbladians，其谱满足随机矩阵理论（RMT）的物理后果，并比较了在一位空间维度中，空间局部和完全随机Lindblad动力学的后果。 我们发现，其谱由RMT描述的Lindbladians在非线性密度矩阵量的早期时间动力学中表现出准普遍性，即对于通用的、高度纠缠的初始状态，早期时间演化独立于初始状态的选择。 我们数值研究了局域性如何通常对Lindblad本征算符的尺寸依赖性施加约束。 这种尺寸依赖性意味着线性可观测量，如局部算符的期望值，在热力学极限下对光谱主体之外的本征模非常敏感，并在耗散存在时限制算符增长中起着核心作用。 我们发现，当单点耗散占主导时，即使存在两位跳跃算符，算符的退相干也近似与其泡利权重成线性关系。 然而，当仅两位耗散占主导时，这种算符尺寸的普遍趋势可能被打破，导致寿命很长的高泡利权重算符。 显示英文摘要

摘要： We investigate the physical consequences of having a spectrum that satisfies random matrix theory (RMT) for generic Lindbladians, and compare its consequences for spatially local and completely random Lindblad dynamics in one spatial dimension. We find that Lindbladians whose spectrum is described by RMT exhibit quasi-universal early-time dynamics for quantities non-linear in the density matrix, in the sense that for generic, highly entangled initial states, the early time evolution is independent of the choice of initial state. We numerically investigate how locality generically imposes constraints on the size-dependence of Lindblad eigenoperators. This size dependence implies that linear observables, such as expectation values of local operators, are highly sensitive to eigenmodes outside the bulk of the spectrum in the thermodynamic limit, and plays a central role in limiting operator growth in the presence of dissipation. We find that when single-site dissipation dominates, an operator's decoherence scales approximately linearly with its Pauli weight, even in the presence of 2-site jump operators. When two-site only dissipation dominates, however, this generic trend in operator size can be violated, leading to long-lived high Pauli-weight operators.