论文标题
库珀对盒阵列中的非线性动力拓扑阶段
Nonlinear dynamical topological phases in Cooper-pair box array
论文作者
论文摘要
系统的拓扑特性通常是静态属性。例如，通过测量状态的局部密度来观察拓扑边缘状态。在这项工作中，我们提出了一个仅由动态揭示的拓扑特性的系统。作为一个具体的示例，我们探索了通过与电容器相连的库珀对盒阵列的淬灭动力学揭示的非线性动力学拓扑相变。由于约瑟夫森效应，它通过耦合的非线性微分方程描述。就静态系统而言，这是微不足道的。但是，淬灭动力学引起的波传播在输入强度方面显示了丰富的拓扑相图。
The topological property of a system is a static property in general. For instance, the topological edge state is observed by measuring the local density of states. In this work we propose a system whose topological property is only revealed by dynamics. As a concrete example, we explore a nonlinear dynamical topological phase transition revealed by a quench dynamics of a Cooper-pair box array connected with capacitors. It is described by coupled nonlinear differential equations due to the Josephson effect. It is trivial as far as the static system is concerned. However, the wave propagation induced by the quench dynamics demonstrates a rich topological phase diagram in terms of the strength of the input.
