Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stationary and traveling solitons via local dissipations in
  Bose-Einstein condensates in ring optical lattices   A model of a Bose-Einstein condensate in a ring optical lattice with atomic
dissipations applied at a stationary or at a moving location on the ring is
presented. The localized dissipation is shown to generate and stabilize both
stationary and traveling lattice solitons. Among many localized solutions, we
have generated spatially stationary quasiperiodic lattice soltions and a family
of traveling lattice solitons with two intensity peaks per potential well with
no counterpart in the discrete case. Collisions between traveling and
stationary lattice solitons as well as between two traveling lattice solitons
display a critical dependence from the lattice depth. Stable counterpropagating
solitons in ring lattices can find applications in gyroscope interferometers
with ultra-cold gases.

21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn