While driven interacting quantum matter is generically subject to heating and scrambling, certain classes of systems evade this paradigm. We study such an exceptional class in periodically driven critical (1 + 1)-dimensional systems with a spatially modulated, but disorder-free time evolution operator. Instead of complete scrambling, the excitations of the system remain well-defined. Their propagation is analogous to the evolution along light cones in a curved space-time obtained by two Schwarzschild black holes. The Hawking temperature serves as an order parameter which distinguishes between heating and non-heating phases. Beyond a time scale determined by the inverse Hawking temperature, excitations are absorbed by the black holes resulting in a singular concentration of energy at their center. We obtain these results analytically within conformal field theory, capitalizing on a mapping to sine-square deformed field theories. Furthermore, by means of numerical calculations for an interacting XXZ spin-1/2 chain, we demonstrate that our findings survive lattice regularization.
Predicted photoinduced pair annihilation of emergent magnetic charges in the organic salt $α$-(BEDT-TTF)$_2$I$_3$ irradiated by linearly polarized light
长期的实验尝试,以找到磁单极子(即,在三维空间中具有孤立磁荷的基本粒子)尚未成功,尽管自1931年狄拉克提出以来进行了大量的努力。粒子物理学家已经预言了两个符号相反的磁荷可能发生碰撞和对湮灭。然而,如果这种湮灭存在,它的实验观测将是困难的,因为它的能量尺度被预测为非常高($\sim$ 10 $^{16}$ GeV)。在目前的工作中,我们理论上预测使用Floquet理论,一对轻微的带隙的Dirac锥带在弱电荷有序的有机导体$α$ -(BEDT-TTF)$_2$ I $_3$,这表现为磁荷在动量空间中具有相反的符号,表现出对湮灭线偏振光照射下。这种光致对湮灭是伴随着一个非拓扑相变的Floquet正常绝缘体相的对比,众所周知的圆偏振光诱导的拓扑相变的Floquet陈省身绝缘体相。我们讨论了$α$ -(BEDT-TTF)$_2$ I $_3$具有能够实现合适的实验条件(即,非共振条件)和提供所需交错位置电势的电荷有序状态,从而提供了可用于观察预测的对湮灭现象的材料的罕见实例。并对实验观测的可行性进行了讨论。
The University of Burdwan(布尔达万大学);Harish-Chandra Research Institute(哈里什-钱德拉研究所);Homi Bhabha National Institute(霍米·巴巴国立研究所);Poornaprajna Institute of Scientific Research(普尔纳普拉尼亚科学研究学院)
Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity
RWTH Aachen University(亚琛工业大学);Technische Universität Braunschweig(布伦瑞克工业大学);Max Planck Institute for the Structure and Dynamics of Matter(马普物质结构动力学研究所)