Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing 10 {\mu}K stability and residual drifts in the cross-polarized
  dual-mode stabilization of single-crystal ultrahigh-Q optical resonators   The thermal stability of monolithic optical microresonators is essential for
many mesoscopic photonic applications such as ultrastable laser oscillators,
photonic microwave clocks, and precision navigation and sensing. Their
fundamental performance is largely bounded by thermal instability. Sensitive
thermal monitoring can be achieved by utilizing cross-polarized dual-mode beat
frequency metrology, determined by the polarization-dependent
thermorefractivity of a single-crystal microresonator, wherein the heterodyne
radio-frequency beat pins down the optical mode volume temperature for
precision stabilization. Here, we investigate the correlation between the
dual-mode beat frequency and the resonator temperature with time and the
associated spectral noise of the dual-mode beat frequency in a single-crystal
ultrahigh-Q MgF2 resonator to illustrate that dual-mode frequency metrology can
potentially be utilized for resonator temperature stabilization reaching the
fundamental thermal noise limit in a realistic system. We show a resonator
long-term temperature stability of 8.53 {\mu}K after stabilization and unveil
various sources that hinder the stability from reaching sub-{\mu}K in the
current system, an important step towards compact precision navigation, sensing
and frequency reference architectures.

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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph