Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optomechanical Synchronization across Multi-Octaves Frequency Spans   Experimental exploration of synchronization in scalable oscillator micro
systems has unfolded a deeper understanding of networks, collective phenomena,
and signal processing. Cavity optomechanical devices have played an important
role in this scenario, with the perspective of bridging optical and radio
frequencies through nonlinear classical and quantum synchronization concepts.
In its simplest form, synchronization occurs when an oscillator is entrained by
a signal with frequency nearby the oscillator's tone, and becomes increasingly
challenging as their frequency detuning increases. Here, we experimentally
demonstrate entrainment of a silicon-nitride optomechanical oscillator driven
up to the fourth harmonic of its 32 MHz fundamental frequency. Exploring this
effect, we also experimentally demonstrate for the first time a purely
optomechanical RF frequency divider, where we performed frequency division up
to a 4:1 ratio, i.e., from 128 MHz to 32 MHz. Further developments could
harness these effects towards frequency synthesizers, phase-sensitive
amplification and nonlinear sensing.

16
The categories of this paper are: stat
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn