论文标题
带有夹具的经典质量弹簧链中的拓扑绝热动态
Topological adiabatic dynamics in classical mass-spring chains with clamps
论文作者
论文摘要
检查了具有夹具的经典谐波链中绝热进化的路径依赖性。结果表明，切割和连接链可能会编织绝热正常模式频率。因此，具有相同终点的不同绝热路径可能会将正常模式传输到另一种模式，而绝热循环泵泵的动作变量，即，可集成的经典系统的绝热不变性。夹具引起的人造边缘模式的另一个绝热泵显示为应用。概述了对完全集成系统和量子系统的扩展。
The path dependence of adiabatic evolution in classical harmonic chains with clamps is examined. It is shown that cutting and joining a chain may braid adiabatic normal mode frequencies. Accordingly, different adiabatic paths with the same endpoints may transport a normal mode to a different one, and an adiabatic cycle pumps action variables, i.e., the adiabatic invariants of integrable classical systems. Another adiabatic pump for artificial edge modes induced by clamps is shown as an application. Extensions to completely integrable systems and quantum systems are outlined.
