通过二分拓扑循环产生量子化激发的来源
Sources of quantized excitations via dichotomic topological cycles
AI总结：
本研究在一维拓扑绝热循环链中发现新型拓扑泵浦现象，推导了关联体陈数与转移电子数的高阶体边对应关系，通过K理论证明并以Rice-Mele模型示例，探讨了实验实现方案。
摘要：
我们证明了在经历拓扑绝热循环的一维链中，存在一种概念上截然不同的拓扑泵浦现象。具体而言，对于两条沿相反方向循环、且在一条边缘处通过能隙势耦合的半无限链堆叠结构，我们推导了一种高阶体边对应关系：该关系将单条无限链绝热循环对应的体陈数，与两条半无限链之间转移的电子数关联起来。该关系利用两个投影的相对指标表述，并通过K理论计算得到证明。我们以Rice-Mele模型为例阐释了这一现象，同时讨论了利用经典和量子自由度开展实验实现的可行方案。
英文摘要：
We demonstrate the existence of a conceptually distinct topological pumping phenomenon in one-dimensional chains undergoing topological adiabatic cycles. Specifically, for a stack of two semi-infinite chains cycled in opposite directions and coupled at one edge by a gapping potential, we derive a higher-order bulk-boundary correspondence that relates the bulk Chern number associated with the adiabatic cycle of a single infinite chain and the number of electrons transferred between the semi-infinite chains. The relation is formulated using the relative index of two projections and proven using K-theoretic calculations. The phenomenon is exemplified using the Rice-Mele model and possible experimental implementations with classical and quantum degrees of freedom are discussed.
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