Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic phases of bosons with synthetic spin-orbit coupling in optical
  lattices   We investigate magnetic properties in the superfluid and Mott-insulating
states of two-component bosons with spin-orbit (SO) coupling in 2D square
optical lattices. The spin-independent hopping integral $t$ and SO coupled one
$\lambda $are fitted from band structure calculations in the continuum, which
exhibit oscillations as increasing SO coupling strength. The magnetic
superexchange model is derived in the Mott-insulating state with one-particle
per-site, characterized by the Dzyaloshinsky-Moriya (DM) interaction. In the
limit of $|\lambda|\ll |t|$, we find a spin spiral Mott state whose pitch value
is the same as that in the incommensurate superfluid state, while in the
opposite limit $|t| \ll |\lambda|$, the ground state can be found by a dual
transformation to the $|\lambda|\ll|t|$ limit.

19
The categories of this paper are: eess
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an