Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Assessing degrees of entanglement of phonon states in atomic Bose gases
  through the measurement of commuting observables   We show that measuring commuting observables can be sufficient to assess that
a bipartite state is entangled according to either nonseparability or the
stronger criterion of 'steerability'. Indeed, the measurement of a single
observable might reveal the strength of the interferences between the two
subsystems, as if an interferometer were used. For definiteness we focus on the
two-point correlation function of density fluctuations obtained by in situ
measurements in homogeneous one-dimensional cold atomic Bose gases. We then
compare this situation to that found in transonic stationary flows mimicking a
black hole geometry where correlated phonon pairs are emitted on either side of
the sonic horizon by the analogue Hawking effect. We briefly apply our
considerations to two recent experiments.

20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org