Two-dimensional Thouless pumping in time-space crystalline structures
Quantum Gases
2022-10-05 v2 Quantum Physics
Abstract
Dynamics of particle in a resonantly driven quantum well can be interpreted as that of a particle in a crystal-like structure, with the time playing the role of the coordinate. By introducing an adiabatically varied phase in the driving protocol, we demonstrate a realization of the Thouless pumping in such a time crystalline structure. Next, we extend the analysis beyond a single quantum well by considering a driven one-dimensional optical lattice, thereby engineering a 2D time-space crystalline structure. Such a setup allows us to explore adiabatic pumping in the spatial and the temporal dimensions separately, as well as to simulate simultaneous time-space pumping.
Keywords
Cite
@article{arxiv.2206.14804,
title = {Two-dimensional Thouless pumping in time-space crystalline structures},
author = {Y. Braver and C. -h. Fan and G. Žlabys and E. Anisimovas and K. Sacha},
journal= {arXiv preprint arXiv:2206.14804},
year = {2022}
}
Comments
11 pages; version accepted for publication in Phys. Rev. B