论文标题
相互作用的Aubry-Andre-Harper模型的非平衡稳态阶段
Non-equilibrium steady state phases of the interacting Aubry-Andre-Harper model
论文作者
论文摘要
在这里，我们研究了在存在较强相互作用的情况下，随着准碘电势的强度有所不同，奥布里·安德烈·马特模型的相图。先前的工作已经确定了在巨大潜在强度下存在多体局部阶段。在这里，我们在以自旋传输和异常相关为特征的离域化方案中找到了丰富的相图。我们通过在矩阵乘积密度运算符上采用时间不断发展的块分解算法来计算边界驱动的强烈相互作用的Aubry-Andre-Harper模型的非平衡稳态。从这些稳态中，我们提取自旋传输，这是系统尺寸和准碘电势强度的函数。该数据表明，在本地化过渡之前，旋转运输从超级延伸到次延伸。与以前的结果相比，我们还发现，运输转变与模型中操作员生长速度观察到的转变不同。我们还研究了稳态的相关结构，并为潜在强度的中间值找到了异常的振荡模式。异常的自旋转运和量子相关结构表明，备受研究的热和多体裂隙相之间的多个动力学阶段。
Here we study the phase diagram of the Aubry-Andre-Harper model in the presence of strong interactions as the strength of the quasiperiodic potential is varied. Previous work has established the existence of many-body localized phase at large potential strength; here, we find a rich phase diagram in the delocalized regime characterized by spin transport and unusual correlations. We calculate the non-equilibrium steady states of a boundary-driven strongly interacting Aubry-Andre-Harper model by employing the time-evolving block decimation algorithm on matrix product density operators. From these steady states, we extract spin transport as a function of system size and quasiperiodic potential strength. This data shows spin transport going from superdiffusive to subdiffusive well before the localization transition; comparing to previous results, we also find that the transport transition is distinct from a transition observed in the speed of operator growth in the model. We also investigate the correlation structure of the steady state and find an unusual oscillation pattern for intermediate values of the potential strength. The unusual spin transport and quantum correlation structure suggest multiple dynamical phases between the much-studied thermal and many-body-localized phases.
