Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Overlaying optical lattices for simulation of complex frustrated
  antiferromagnets   We present design techniques of special optical lattices that allow quantum
simulation of spin frustration in two-dimensional systems. By carefully
overlaying optical lattices with different periods and orientations, we are
able to adjust the ratio between the nearest-neighbor and next-nearest-neighbor
interaction strengths in a square spin lattice and realize frustration effects.
We show that only laser beams of a single frequency is required, and the
parameter space reachable in our design is broad enough to study the important
phases in the $J_1$-$J_2$ frustrated Heisenberg model and checkerboard
antiferromagnet model. By using the polarization spectroscopy for detection,
distinct quantum phases and quantum phase transition points can be
characterized straightforwardly. Our design thus offers a suitable setup for
simulation of frustrated spin systems.

27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat