Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective Hamiltonian approach to the Kerr nonlinearity in an
  optomechanical system   Using the Born-Oppenheimer approximation, we derive an effective Hamiltonian
for an optomechanical system that leads to a nonlinear Kerr effect in the
system's vacuum. The oscillating mirror at one edge of the optomechanical
system induces a squeezing effect in the intensity spectrum of the cavity
field. A near-resonant laser field is applied at the other edge to drive the
cavity field, in order to enhance the Kerr effect. We also propose a
quantum-nondemolition-measurement setup to monitor a system with two cavities
separated by a common oscillating mirror, based on our effective Hamiltonian
approach.

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The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
19
The categories of this paper are: eess
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph