Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical optimization of entrainment stability and phase coherence
  in weakly forced quantum limit-cycle oscillators   Optimal entrainment of a quantum nonlinear oscillator to a periodically
modulated weak harmonic drive is studied in the semiclassical regime. By using
the semiclassical phase reduction theory recently developed for quantum
nonlinear oscillators, two types of optimization problems, one for the
stability and the other for the phase coherence of the entrained state, are
considered. The optimal waveforms of the periodic amplitude modulation can be
derived by applying the classical optimization methods to the semiclassical
phase equation that approximately describes the quantum limit-cycle dynamics.
Using a quantum van der Pol oscillator with squeezing and Kerr effects as an
example, the performance of optimization is numerically analyzed. It is shown
that the optimized waveform for the entrainment stability yields faster
entrainment to the driving signal than the case with a simple sinusoidal
waveform, while that for the phase coherence yields little improvement from the
sinusoidal case. These results are explained from the properties of the phase
sensitivity function.

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The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs