论文标题
不均匀浮部系统的几何方法
Geometric approach to inhomogeneous Floquet systems
论文作者
论文摘要
我们提出了一种新的几何方法，用于在1+1维中用不均匀的保形场理论描述的浮标多体系统。 It is based on an exact correspondence with dynamical systems on the circle that we establish and use to prove existence of (non)heating phases characterized by the (absence) presence of fixed or higher-periodic points of coordinate transformations encoding the time evolution: Heating corresponds to energy and excitations concentrating exponentially fast at unstable such points while nonheating to pseudoperiodic motion.我们表明，加热速率（作为这两者之间过渡的顺序参数）甚至在整体加热阶段都可以具有尖缘，并且相位图的丰富结构具有丰富的相图结构，具有不同的加热阶段，可以通过纠结熵中的纠结，让人联想到Lifshitz相变。我们的几何方法将仅使用$ \ Mathfrak {Sl}（2）$代数的类似系统的亚家族概括为一般平滑变形，这些变形需要完整的无限维virasoro代数，我们认为它具有更大的适用性，甚至超出了综合现场理论。
We present a new geometric approach to Floquet many-body systems described by inhomogeneous conformal field theory in 1+1 dimensions. It is based on an exact correspondence with dynamical systems on the circle that we establish and use to prove existence of (non)heating phases characterized by the (absence) presence of fixed or higher-periodic points of coordinate transformations encoding the time evolution: Heating corresponds to energy and excitations concentrating exponentially fast at unstable such points while nonheating to pseudoperiodic motion. We show that the heating rate (serving as the order parameter for transitions between these two) can have cusps, even within the overall heating phase, and that there is a rich structure of phase diagrams with different heating phases distinguishable through kinks in the entanglement entropy, reminiscent of Lifshitz phase transitions. Our geometric approach generalizes previous results for a subfamily of similar systems that used only the $\mathfrak{sl}(2)$ algebra to general smooth deformations that require the full infinite-dimensional Virasoro algebra, and we argue that it has wider applicability, even beyond conformal field theory.
