Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inseparable time-crystal geometries on the M\"obius strip   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.

10
The categories of this paper are: q-bio
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat