论文标题
无序浮部系统的流动方程
Flow Equations for Disordered Floquet Systems
论文作者
论文摘要
在这项工作中，我们提出了一种基于流程方程的无序，定期驱动（floquet）量子多体系统的新方法。具体而言，我们在扩展的希尔伯特空间中引入了浮雕操作员的连续统一流，其固定点既是对角线又无关，从而使我们能够直接获得Floquet模式。我们首先将此方法应用于定期驱动的Anderson绝缘子，然后将其扩展到截断的流动方程式中驱动的多体局部系统。特别是，我们计算出了新兴的浮部局部运动积分，该运动表征了定期驱动的多体局部阶段。我们证明，该方法在弱相互交互的方向上仍然可以很好地控制，并使我们能够访问比通过数值精确方法访问的更大的系统大小，这为研究二维驱动的多体系统的研究铺平了道路。
In this work, we present a new approach to disordered, periodically driven (Floquet) quantum many-body systems based on flow equations. Specifically, we introduce a continuous unitary flow of Floquet operators in an extended Hilbert space, whose fixed point is both diagonal and time-independent, allowing us to directly obtain the Floquet modes. We first apply this method to a periodically driven Anderson insulator, for which it is exact, and then extend it to driven many-body localized systems within a truncated flow equation ansatz. In particular we compute the emergent Floquet local integrals of motion that characterise a periodically driven many-body localized phase. We demonstrate that the method remains well-controlled in the weakly-interacting regime, and allows us to access larger system sizes than accessible by numerically exact methods, paving the way for studies of two-dimensional driven many-body systems.
