2026-09-22 中国科学院物理研究所
Fig. 1. Wave scattering at spatial and temporal boundaries. (Image by Institute of Physics)
＜関連情報＞
- https://english.iop.cas.cn/rh/rp/202609/t20260922_1201101.html
- https://www.pnas.org/doi/10.1073/pnas.2613876123
時間境界散乱とトポロジカル共鳴透過 Time-boundary scattering and topological resonant transmissions
Haiping Hu
Proceedings of the National Academy Sciences Published:September 18, 2026
DOI:https://doi.org/10.1073/pnas.2613876123
Abstract
Time boundaries (TBs), temporal analogues of spatial interfaces, offer a powerful handle to engineer quantum systems. However, unlike the well-developed stationary scattering theory at spatial interfaces, a unified framework for quantum scattering at TBs has been missing. Here we develop a Bloch-wave scattering theory for TBs by introducing a temporal scattering matrixS between incoming and outgoing Bloch channels. We uncover topological resonant transmissions (RTs)—poles of S that yield perfect interband transmission and dynamical freezing of the quantum state. We establish a bulk–time–boundary correspondence for all integer Altland-Zirnbauer classes: the number of RTs equals the jump of the bulk topological invariant across the TB. In one dimension this gives a time-domain Levinson’s theorem. A topological analysis further reveals a striking dimensional dependence. In even dimensions RTs are robust to temporal modulations and disorder, whereas in odd dimensions they can be destroyed by dynamical symmetry breaking. Our work places temporal and spatial scattering on the same footing and opens avenues for engineering and probing quantum dynamics.
