Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum noise thermometry for bosonic Josephson junctions in the mean
  field regime   Bosonic Josephson junctions can be realized by confining ultracold gases of
bosons in multi-well traps, and studied theoretically with the $M$-site
Bose-Hubbard model. We show that canonical equilibrium states of the $M$-site
Bose-Hubbard model may be approximated by mixtures of coherent states, provided
the number of atoms is large and the total energy is comparable to $k_BT$.
Using this approximation, we study thermal fluctuations in bosonic Josephson
junctions in the mean field regime. Statistical estimates of the fluctuations
of relative phase and number, obtained by averaging over many replicates of an
experiment, can be used to estimate the temperature and the tunneling
parameter, or to test whether the experimental procedure is effectively
sampling from a canonical thermal equilibrium ensemble.

26
The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
19
The categories of this paper are: eess
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an