Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enhancing quadratic optomechanical coupling via nonlinear medium and
  lasers   We propose a scheme to significantly increase quadratic optomechanical
couplings of optomechanical systems with the help of a nonlinear medium and two
driving lasers. The nonlinear medium is driven by one laser and the optical
cavity mode is driven by a strong laser. We derive an effective Hamiltonian
using squeezing transformation and rotating wave approximation. The effective
quadratic optomechanical coupling strength can be larger than the decay rate of
the cavity mode by adjusting the two optical driving fields. The thermal noise
of squeezed cavity mode can be suppressed totally with the help of a squeezed
vacuum field. Then, a driving field is applied to the mechanical mode. We
investigate the equal-time second order correlations and find there are photon,
phonon, and photon-phonon blockades even the original single-photon quadratic
coupling is much smaller than the decay rate of the optical mode. In addition,
the sub-Poissonian window of the two-time second order correlations can be
controlled by the mechanical driving field. Finally, we show the squeezing and
entanglement of the model could be tuned by the driving fields of the nonlinear
medium and mechanical mode.

5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con