Inseparable time-crystal geometries on the M\"obius strip
Quantum Gases
2021-12-24 v3 Atomic Physics
Quantum Physics
Abstract
Description of periodically and resonantly driven quantum systems can lead to solid state models where condensed matter phenomena can be investigated in time lattices formed by periodically evolving Wannier-like states. Here, we show that inseparable two-dimensional time lattices with the M\"obius strip geometry can be realized for ultra-cold atoms bouncing between two periodically oscillating mirrors. Effective interactions between atoms loaded to a lattice can be long-ranged and can be controlled experimentally. As a specific example we show how to realize a Lieb lattice model with a flat band and how to control long-range hopping of pairs of atoms in the model.
Cite
@article{arxiv.2103.03778,
title = {Inseparable time-crystal geometries on the M\"obius strip},
author = {Krzysztof Giergiel and Arkadiusz Kuroś and Arkadiusz Kosior and Krzysztof Sacha},
journal= {arXiv preprint arXiv:2103.03778},
year = {2021}
}
Comments
12 pages, 6 figures, version accepted for publication in Phys. Rev. Lett