Inseparable time-crystal geometries on the Möbius strip
arXiv:2103.03778 · doi:10.1103/PhysRevLett.127.263003
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 Möbius 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.
arXiv comment12 pages, 6 figures, version accepted for publication in Phys. Rev. Lett
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