Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions   Using the density matrix renormalization group method, we studied the ground
state of the one-dimensional $S=1$ Bose-Hubbard model with local three-body
interactions, which can be a superfluid or a Mott insulator state. We drew the
phase diagram of this model for both ferromagnetic and antiferromagnetic
interaction. Regardless of the sign of the spin-dependent coupling, we obtained
that the Mott lobes area decreases as the spin-dependent strength increases,
which means that the even-odd asymmetry of the two-body antiferromagnetic chain
is absent for local three-body interactions. For antiferromagnetic coupling, we
found that the density drives first-order superfluid-Mott insulator transitions
for even and odd lobes. Ferromagnetic Mott insulator and superfluid states were
obtained with a ferromagnetic coupling, and a tendency to a "long-range" order
was observed.

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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin