通过Wegner-Wilson流探索与环境耦合的量子系统中的多体局域化
Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows
摘要：
受最近的多体局域系统耦合到环境的实验的启发，我们应用流方程方法来研究无自旋费米子的无序链的问题，通过密度-密度相互作用耦合到第二个干净的无自旋费米子链。特别是，我们专注于我们的模型的清洁部门接近脏的一个多体局部化阶段的发病条件。我们发现，当脏费米子的密度超过一个阈值时，一个多体局域化邻近效应在干净的组件建立。从流动方程方法中我们发现，类似于单链中的多体局域化，多体局域化邻近效应也由一组扩展的运动局部积分来描述。此外，通过调整链间耦合的几何形状，我们表明，该模型的动态统治，在中间的时间尺度上，由一组新兴的准保守电荷。
英文摘要：
Inspired by recent experiments on many-body localized systems coupled to an environment, we apply a Flow Equation method to study the problem of a disorder chain of spinless fermions, coupled via density-density interactions to a second clean chain of spinless fermions. In particular, we focus on the conditions for the onset of a many-body localized phase in the clean sector of our model by proximity to the dirty one. We find that a many-body localization proximity effect in the clean component is established when the density of dirty fermions exceeds a threshold value. From the flow equation method we find that, similar to many-body localization in a single chain, the many-body localization proximity effect is also described by an extensive set of local integrals of motion. Furthermore, by tuning the geometry of the inter-chain couplings, we show that the dynamics of the model is ruled, on intermediate time scales, by an emergent set of quasi-conserved charges.
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