Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trimer superfluid and supersolid on two-dimensional optical lattices   By the photoassociation method, the trimer superfluid phase disappears in the
one dimensional state-dependent optical lattice if the ratio of the three-body
interaction $W$ to the trimer tunneling $J$is kept at $W/J=12$ [Phys Rev A.
{\bf 90}, 033622(2014)]. To search for a trimer superfluid and trimer
supersolid, we load the cold atom into two-dimensional lattices, whose
coordinate number $z$ and kinetic energy $-zJ$ are respectively larger and
lower than those of a one dimensional lattice. Herein, we study the
Bose-Hubbard model, which has an additional trimer tunneling term, a three-body
interaction and a next-nearest repulsion. The on-site trimer and trimer
superfluid exist if the on-site two-body repulsion and three-body repulsion are
smaller than some thresholds. With atom-tunneling terms, the phase transitions
from trimer superfluid phase to both atom superfluid and atom supersolid phases
are first order. With $W/J=12$, in a one dimensional lattice, the trimer
superfluid phase does not exist at all. In contrast, the trimer superfluid
phase, exists in the lower density regions $0 \textless \rho \textless2$ on the
square lattice if $J$ is not very large. The trimer superfluid phase emerges in
a wider range $0 \textless \rho \textless3$ in the triangular lattice, or in
the cubic lattice ($z=6$). When the three-body interaction is turned on, a
trimer supersolid phase emerges due to the classical degeneracy between the
quasi trimer solid and the trimer solid being broken by the quantum
fluctuation. The phase transitions from the trimer supersolid phase to quasi
trimer solid are first order and the phase transition from the trimer
supersolid phase to trimer solid is continuous. Our results, obtained by
mean-field and quantum Monte Carlo methods, will be helpful in realizing the
trimer superfluid and supersolid by cold atom experiments.

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The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nlin