Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Control of Hybrid Optomechanical Systems for Generating
  Non-Classical States of Mechanical Motion   Cavity optomechanical systems are one of the leading experimental platforms
for controlling mechanical motion in the quantum regime. We exemplify that the
control over cavity optomechanical systems greatly increases by coupling the
cavity also to a two-level system, thereby creating a hybrid optomechanical
system. If the two-level system can be driven largely independently of the
cavity, we show that the non-linearity thus introduced enables us to steer the
extended system to non-classical target states of the mechanical oscillator
with Wigner functions exhibiting significant negative regions. We illustrate
how to use optimal control techniques beyond the linear regime to drive the
hybrid system from the near ground state into a Fock target state of the
mechanical oscillator. We base our numerical optimization on realistic
experimental parameters for exemplifying how optimal control enables the
preparation of decidedly non-classical target states, where naive control
schemes fail. Our results thus pave the way for applying the toolbox of optimal
control in hybrid optomechanical systems for generating non-classical
mechanical states.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg