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arXiv · 2103.03778

Inseparable time-crystal geometries on the Möbius strip

Krzysztof Giergiel·Arkadiusz Kuroś·Arkadiusz Kosior·Krzysztof Sacha
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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.

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Krzysztof Giergiel, Arkadiusz Kuroś, Arkadiusz Kosior, Krzysztof Sacha. 2021-11-25. Inseparable time-crystal geometries on the Möbius strip. https://doi.org/10.1103/physrevlett.127.263003

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