Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase engineering of controlled entangled number states in a single
  component Bose-Einstein condensate in a double well   We propose a model for the creation of entangled number states (Schr\"odinger
cat states) of a Bose-Einstein condensate in a double well through simple phase
engineering. We show that a $\pi$-phase imprinted condensate in a double-well
evolves, with a simultaneous change of barrier height, to number states with
well defined and controlled entanglement. The cat state generation is
understood in terms of the underlying classical phase space dynamics of a
$\pi$-phase displaced coherent state put at the hyperbolic fixed point of the
separatrix of a physical pendulum. The extremity and sharpness of the final cat
state is determined by the initial barrier height and the rate at which it is
ramped during the evolution.

14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat