Bound on Eigenstate Thermalization from Transport
Bound on Eigenstate Thermalization from Transport
复制标题
受运输本征态热化的约束
DOI：
10.1103/physrevlett.128.190601
复制
发表时间：
2022
影响因子：
8.6
通讯作者：
Dymarsky, Anatoly
中科院分区：
文献类型：
--
作者：
Dymarsky, Anatoly
我们证明了宏观热化和输运对进入特征态热化假设（ETH）的矩阵元素施加了约束，并要求它们相互关联。通常假设ETH在索利斯能量标度以下可以简化为随机矩阵理论（RMT）。我们证明这种传统的观点是不自洽的。我们证明了RMT行为出现的能量尺度在参数上必须小于与感兴趣的算子耦合的最慢热化模式的逆时间尺度。我们认为，标志着RMT行为开始的时间尺度与流体力学描述输运崩溃的时间尺度是相同的。
We show that macroscopic thermalization and transport impose constraints on matrix elements entering the eigenstate thermalization hypothesis (ETH) ansatz and require them to be correlated. It is often assumed that the ETH reduces to random matrix theory (RMT) below the Thouless energy scale. We show that this conventional picture is not self-consistent. We prove that the energy scale at which the RMT behavior emerges has to be parametrically smaller than the inverse timescale of the slowest thermalization mode coupled to the operator of interest. We argue that the timescale marking the onset of the RMT behavior is the same timescale at which the hydrodynamic description of transport breaks down.