Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interferometric approach to measuring band topology in 2D optical
  lattices   Recently, optical lattices with non-zero Berry's phases of Bloch bands have
been realized. New approaches for measuring Berry's phases and topological
properties of bands with experimental tools appropriate for ultracold atoms
need to be developed. In this paper, we propose an interferometric method for
measuring Berry's phases of two dimensional Bloch bands. The key idea is to use
a combination of Ramsey interference and Bloch oscillations to measure Zak
phases, i.e. Berry's phases for closed trajectories corresponding to reciprocal
lattice vectors. We demonstrate that this technique can be used to measure
Berry curvature of Bloch bands, the \pi-Berry's phase of Dirac points, and the
first Chern number of topological bands. We discuss several experimentally
feasible realizations of this technique, which make it robust against
low-frequency magnetic noise.

8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org