Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measuring the Rydberg Constant Using Circular Rydberg Atoms in an
  Intensity-Modulated Optical Lattice   A method for performing a precision measurement of the Rydberg constant,
$R_{\infty}$, using cold circular Rydberg atoms is proposed. These states have
long lifetimes, as well as negligible quantum-electrodynamics (QED) and no
nuclear-overlap corrections. Due to these advantages, the measurement can help
solve the "proton radius puzzle" [Bernauer, Pohl, Sci. Am. 310, 32 (2014)]. The
atoms are trapped using a Rydberg-atom optical lattice, and transitions are
driven using a recently-demonstrated lattice-modulation technique to perform
Doppler-free spectroscopy. The circular-state transition frequency yields
$R_{\infty}$. Laser wavelengths and beam geometries are selected such that the
lattice-induced transition shift is minimized. The selected transitions have no
first-order Zeeman and Stark corrections, leaving only manageable second-order
Zeeman and Stark shifts. For Rb, the projected relative uncertainty of
$R_{\infty}$ in a measurement under the presence of the Earth's gravity is
$10^{-11}$, with the main contribution coming from the residual lattice shift.
This could be reduced in a future micro-gravity implementation. The
next-important systematic arises from the Rb$^+$ polarizability
(relative-uncertainty contribution of $\approx 3 \times10^{-12}$).

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The categories of this paper are: alg-geom
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
2
The categories of this paper are: math