Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loss of coherence of matter-wave interferometer from fluctuating
  graviton bath   In this paper we consider non-relativistic matter-wave interferometer coupled
with a quantum graviton bath $\mathord{-}$ and discuss the loss of coherence in
the matter sector due to the matter-graviton vertex. First of all, such a
process does not lead to any entanglement, but nonetheless the on-shell
scattering diagram can lead to loss of coherence as we will show. Importantly,
we will show that graviton emission is the only one-vertex Feynman-diagram
$\sim\sqrt{G}$ which is consistent with the conservation of energy and momentum
at the dominant order $\sim\mathcal{O}(c^{-2})$. We will find that the
resulting dephasing is extremely mild and hardly places any constraints on
matter-wave interferometers in the mesoscopic regime. In particular, the show
that the corresponding loss of coherence in the recently proposed experiment
which would test quantum aspects of graviton $\mathord{-}$ via entanglement of
two matter-wave interferometers $\mathord{-}$ is completely negligible.

30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an