Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measuring Chern numbers in Hofstadter strips   Topologically non-trivial Hamiltonians with periodic boundary conditions are
characterized by strictly quantized invariants. Open questions and fundamental
challenges concern their existence, and the possibility of measuring them in
systems with open boundary conditions and limited spatial extension. Here, we
consider transport in Hofstadter strips, that is, two-dimensional lattices
pierced by a uniform magnetic flux which extend over few sites in one of the
spatial dimensions. As we show, an atomic wavepacket exhibits a transverse
displacement under the action of a weak constant force. After one Bloch
oscillation, this displacement approaches the quantized Chern number of the
periodic system in the limit of vanishing tunneling along the transverse
direction. We further demonstrate that this scheme is able to map out the Chern
number of ground and excited bands, and we investigate the robustness of the
method in presence of both disorder and harmonic trapping. Our results prove
that topological invariants can be measured in Hofstadter strips with open
boundary conditions and as few as three sites along one direction.

15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs