Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stabilization of Nonlinear Lattices: A Route to Superfluidity and
  Hysteresis   The Bloch states of a Bose-Einstein condensates (BECs) in pure nonlinear
lattices (NLs) are dynamically unstable, so that they cannot show
superfluidity. We overcome this problem by finding that the two-component BECs
in NLs can be stabilized by the coherent linear coupling. Furthermore, in the
limit of the strong coherent coupling, the lowest Bloch band in the whole
Brillouin zone can be dynamically stable. We also find a hysteretic behavior
with loop-like structure in the Bloch band resembling the so-called
"swallowtail" loop. The dynamical stabilization and hysteretic behavior can be
observed in experiments by current technology.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas