Fast Hubbard-Thouless Pumping with Local Counterdiabatic Driving
Abstract
Counterdiabatic (CD) driving suppresses the excitations of fast protocols by adding an auxiliary Hamiltonian, but in many-body and topological systems the exact CD term is generally non-local and multi-body. We study this obstruction for Thouless pumping in the Rice-Mele model, first without and then with interactions. For noninteracting fermions, the exact CD term of the pump is non-local, but the variational framework of Sels and Polkovnikov yields accurate nearest-neighbor approximations. For the spinful Rice-Mele chain with onsite and nearest-neighbor repulsion, in the regime where the competition of the two interactions stabilizes quantized pumping, this approach fails: the infinite-temperature variational action only penalizes the CD amplitudes, and the resulting two-parameter nearest-neighbor term does not prevent the pump from breaking down when the cycle time is reduced from 50/t to 2/t. We trace the failure to the structure of the exact many-body gauge potential, whose amplitude for each hop depends on the interaction energy that the hop costs. Resolving the nearest-neighbor currents by this energy, and fixing the coefficients with a ground-state-weighted action, gives a local ansatz with 14 coefficients that keeps the interacting pump quantized for cycle times T=2/t and T=1/t, with an accuracy per site that does not degrade between rings of 8 and 12 sites.
Related
- Thouless Pumping of Wave Action in Photonic Time Crystals
- Thouless pumping via discrete jumping of the adiabatic Hamiltonian
- Thouless pumping and generation of squeezed Fock-state superpositions in a Fock-state lattice
- Thouless Pumping of One-Dimensional Dark Solitons and Domain Walls
- Inertial Counterdiabatic Driving
BibTeX
@misc{chansky2026fast,
title = {{Fast Hubbard-Thouless Pumping with Local Counterdiabatic Driving}},
author = {Alexander Chansky},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26786},
eprint = {2610.26786},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26786},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Fast Hubbard-Thouless Pumping with Local Counterdiabatic Driving
AU - Alexander Chansky
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.26786
UR - https://arxiv.org/abs/2610.26786
AB - Counterdiabatic (CD) driving suppresses the excitations of fast protocols by adding an auxiliary Hamiltonian, but in many-body and topological systems the exact CD term is generally non-local and multi-body. We study this obstruction for Thouless pumping in the Rice-Mele model, first without and then with interactions. For noninteracting fermions, the exact CD term of the pump is non-local, but the variational framework of Sels and Polkovnikov yields accurate nearest-neighbor approximations. For the spinful Rice-Mele chain with onsite and nearest-neighbor repulsion, in the regime where the competition of the two interactions stabilizes quantized pumping, this approach fails: the infinite-temperature variational action only penalizes the CD amplitudes, and the resulting two-parameter nearest-neighbor term does not prevent the pump from breaking down when the cycle time is reduced from 50/t to 2/t. We trace the failure to the structure of the exact many-body gauge potential, whose amplitude for each hop depends on the interaction energy that the hop costs. Resolving the nearest-neighbor currents by this energy, and fixing the coefficients with a ground-state-weighted action, gives a local ansatz with 14 coefficients that keeps the interacting pump quantized for cycle times T=2/t and T=1/t, with an accuracy per site that does not degrade between rings of 8 and 12 sites.
ER -