Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Full quantum distribution of contrast in interference experiments
  between interacting one dimensional Bose liquids   We analyze interference experiments for a pair of independent one dimensional
condensates of interacting bosonic atoms at zero temperature. We show that the
distribution function of fringe amplitudes contains non-trivial information
about non-local correlations within individual condensates and can be
calculated explicitly using methods of conformal field theory. We point out
interesting relations between these distribution functions, the partition
function for a quantum impurity in a one-dimensional Luttinger liquid, and
transfer matrices of conformal field theories. We demonstrate the connection
between interference experiments in cold atoms and a variety of statistical
models ranging from stochastic growth models to two dimensional quantum
gravity. Such connection can be used to design a quantum simulator of unusual
two-dimensional models described by nonunitary conformal field theories with
negative central charges.

13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph