Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optomechanical analogy for a toy cosmology with a quantized scale factor   The simplest cosmology --- the Friedmann-Robertson-Walker-Lema\^{i}tre (FRW)
model --- describes a spatially homogeneous and isotropic universe where the
scale factor is the only dynamical parameter. Here we consider how quantized
electromagnetic fields become entangled with the scale factor in a toy version
of the FRW model. A system consisting of a photon, source, and detector is
described in such a universe, and we find that the detection of a redshifted
photon by the detector system constrains possible scale factor superpositions.
Thus, measuring the redshift of the photon is equivalent to a weak measurement
of the underlying cosmology. We also consider a potential optomechanical
analogy system that would enable experimental exploration of these concepts.
The analogy focuses on the effects of photon redshift measurement as a quantum
back-action on metric variables, where the position of a movable mirror plays
the role of the scale factor. By working in the rotating frame, an effective
Hubble equation can be simulated with a simple free moving mirror.

36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg