PreprintCC BY 4.0arXiv
Thouless Pumping of Wave Action in Photonic Time Crystals
Abstract
A topological pump transports a conserved quantity. Yet temporal modulation exchanges energy with the field, so the transported quantity must be identified from Maxwell's equations. Here we connect band topology to the temporal displacement of conserved Maxwell wave action in a photonic time crystal. The temporal Wannier function of an isolated positive-action band carries unit action with zero net energy flux, and its temporal center is a Berry polarization. Over one adiabatic cycle, that center shifts by the band Chern number: one cell for a rigid translation and two for a two-tone cycle within a single band.
Related
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BibTeX
@misc{kyung2026thouless,
title = {{Thouless Pumping of Wave Action in Photonic Time Crystals}},
author = {Minwook Kyung and Younsung Kim and Kyungmin Lee and Hee Chul Park and Moon Jip Park and Bumki Min},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27586},
eprint = {2609.27586},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27586},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Thouless Pumping of Wave Action in Photonic Time Crystals
AU - Minwook Kyung
AU - Younsung Kim
AU - Kyungmin Lee
AU - Hee Chul Park
AU - Moon Jip Park
AU - Bumki Min
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27586
UR - https://arxiv.org/abs/2609.27586
AB - A topological pump transports a conserved quantity. Yet temporal modulation exchanges energy with the field, so the transported quantity must be identified from Maxwell's equations. Here we connect band topology to the temporal displacement of conserved Maxwell wave action in a photonic time crystal. The temporal Wannier function of an isolated positive-action band carries unit action with zero net energy flux, and its temporal center is a Berry polarization. Over one adiabatic cycle, that center shifts by the band Chern number: one cell for a rigid translation and two for a two-tone cycle within a single band.
ER -