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PreprintCC BY 4.0arXiv

Thouless pumping via discrete jumping of the adiabatic Hamiltonian

  • Lang Yu
  • Yihan Wu
  • Zhen-Yu Wang
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Abstract

Thouless pumping is a celebrated topological effect that enables quantized particle transport and holds promise for applications in quantum technologies. However, the standard adiabatic pumping theory dictate that the Hamiltonian must be varied continuously and slowly throughout the whole pumping process. In this work, we show that Thouless pumping can be realized by using only discrete sampling of the Hamiltonian, removing the conventional constraint of continuous and slow change of control. Specifically, we select particular parameter points of the Hamiltonian for conventional continuous quantum adiabatic evolution, and then apply the Hamiltonian at these parameter points which induces a geodesic evolution for the pseudospin with a given quasimomentum. This realizes an adiabatic evolution for the Thouless pumping according to a necessary and sufficient condition for quantum adiabatic evolution.

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Cite

BibTeXRIS
BibTeX
@misc{yu2026thouless,
  title = {{Thouless pumping via discrete jumping of the adiabatic Hamiltonian}},
  author = {Lang Yu and Yihan Wu and Zhen-Yu Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17116},
  eprint = {2609.17116},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17116},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Thouless pumping via discrete jumping of the adiabatic Hamiltonian
AU  - Lang Yu
AU  - Yihan Wu
AU  - Zhen-Yu Wang
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17116
UR  - https://arxiv.org/abs/2609.17116
AB  - Thouless pumping is a celebrated topological effect that enables quantized particle transport and holds promise for applications in quantum technologies. However, the standard adiabatic pumping theory dictate that the Hamiltonian must be varied continuously and slowly throughout the whole pumping process. In this work, we show that Thouless pumping can be realized by using only discrete sampling of the Hamiltonian, removing the conventional constraint of continuous and slow change of control. Specifically, we select particular parameter points of the Hamiltonian for conventional continuous quantum adiabatic evolution, and then apply the Hamiltonian at these parameter points which induces a geodesic evolution for the pseudospin with a given quasimomentum. This realizes an adiabatic evolution for the Thouless pumping according to a necessary and sufficient condition for quantum adiabatic evolution.
ER  -