Inseparable time-crystal geometries on the M\"obius strip
- URL: http://arxiv.org/abs/2103.03778v3
- Date: Thu, 25 Nov 2021 14:33:22 GMT
- Title: Inseparable time-crystal geometries on the M\"obius strip
- Authors: Krzysztof Giergiel, Arkadiusz Kuro\'s, Arkadiusz Kosior, Krzysztof
Sacha
- Abstract summary: 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.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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