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339.82 -76.566 m S Q
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385.82 -223.566 m S Q
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339.82 -76.566 m S Q
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0 g
BT
14 0 0 -14 469.321988 31.067799 Tm
/f-0-0 1 Tf
(Disappearance, r)Tj
11 0 0 -11 576.321986 38.067799 Tm
(s)Tj
14 0 0 -14 582.321985 31.067799 Tm
(\(D\))Tj
ET
0 0 1 rg
q 1 0 0 -1 0 0 cm
446.922 -25.668 7.801 -7.801 re S Q
0 g
BT
14 0 0 -14 469.321988 52.067799 Tm
/f-0-0 1 Tf
(Appearance, r)Tj
11 0 0 -11 557.321986 59.067799 Tm
(l)Tj
14 0 0 -14 560.321986 52.067799 Tm
(\(D\))Tj
ET
1 0 0 rg
q 1 0 0 -1 0 0 cm
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455.82 -51.566 m S Q
0 g
BT
14 0 0 -14 469.321988 73.067798 Tm
/f-0-0 1 Tf
(1000mW Simulation)Tj
ET
1.1 w
q 1 0 0 -1 0 0 cm
436.32 -69.566 m 466.32 -69.566 l S Q
0.14902 g
0.5 w
2 J
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698.32 -496.066 m 1286.32 -496.066 l S Q
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q 1 0 0 -1 0 0 cm
796.32 -496.066 m 796.32 -490.188 l S Q
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894.32 -496.066 m 894.32 -490.188 l S Q
q 1 0 0 -1 0 0 cm
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q 1 0 0 -1 0 0 cm
1090.32 -496.066 m 1090.32 -490.188 l S Q
q 1 0 0 -1 0 0 cm
1188.32 -496.066 m 1188.32 -490.188 l S Q
q 1 0 0 -1 0 0 cm
1286.32 -496.066 m 1286.32 -490.188 l S Q
q 1 0 0 -1 0 0 cm
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q 1 0 0 -1 0 0 cm
796.32 -7.066 m 796.32 -12.949 l S Q
q 1 0 0 -1 0 0 cm
894.32 -7.066 m 894.32 -12.949 l S Q
q 1 0 0 -1 0 0 cm
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q 1 0 0 -1 0 0 cm
1090.32 -7.066 m 1090.32 -12.949 l S Q
q 1 0 0 -1 0 0 cm
1188.32 -7.066 m 1188.32 -12.949 l S Q
q 1 0 0 -1 0 0 cm
1286.32 -7.066 m 1286.32 -12.949 l S Q
BT
16 0 0 -16 681.821983 514.267787 Tm
/f-0-0 1 Tf
[(-300)-4124(-200)-4124(-100)]TJ
19.125 0 Td
[(0)-5006(100)-4457(200)]TJ
17.8125 0 Td
(300)Tj
18 0 0 -18 880.321978 532.767787 Tm
(detuning, D \(kHz @ 243nm\))Tj
ET
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BT
16 0 0 -16 665.121983 500.567787 Tm
/f-0-0 1 Tf
(-0.2)Tj
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(0)Tj
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(0.2)Tj
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(0.4)Tj
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(0.6)Tj
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(1.2)Tj
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[(Signa normalized to)-278(1000mW)]TJ
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0 g
BT
14 0 0 -14 1143.321971 30.067799 Tm
/f-0-0 1 Tf
(1150mW Simulation)Tj
ET
1 0 0 rg
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0 g
BT
14 0 0 -14 1143.321971 45.567799 Tm
/f-0-0 1 Tf
(1000mW Simulation)Tj
ET
q 1 0 0 -1 0 0 cm
1110.32 -42.066 m 1140.32 -42.066 l S Q
BT
14 0 0 -14 1143.321971 61.067798 Tm
/f-0-0 1 Tf
(900mW Simulation)Tj
ET
0 0 1 rg
q 1 0 0 -1 0 0 cm
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1 g
761.32 22.066 182 180 re f
0.87451 g
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0.14902 g
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BT
14 0 0 -14 773.588981 217.867795 Tm
/f-0-0 1 Tf
[(700)-3246(1000)-2976(1300)]TJ
15 0 0 -15 792.82218 234.367794 Tm
(laser power \(mW\))Tj
ET
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943.32 -22.066 m 941.504 -22.066 l S Q
BT
14 0 0 -14 740.521981 205.567795 Tm
/f-0-0 1 Tf
(50)Tj
0 2.142857 Td
(60)Tj
0 2.142857 Td
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\documentclass[11pt]{article}

\usepackage{hrms}  %% Page settings, style ... for the HRMS abstract book.
\usepackage{graphicx}

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\title{LASER SPECTROSCOPY OF HYDROGEN AND ANTIHYDROGEN: TOWARDS A DIRECT CPT TEST BEYOND 14 SIGNIFICANT FIGURES}

%% Note that \author and \address macros must be paired.
%% The names of authors must also appear IN CAPITALS.
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\author{\underline{\FirstName C. \LastName LENZ CESAR}}
\address{Instituto de Fisica - UFRJ, Cidade Universitaria, Rio de Janeiro, RJ 21941-909 - Brazil}

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\usepackage{fancyhdr}
%\usepackage{fancy}
\fancyhead[C]{{\footnotesize \textit{HRMS, 28th Colloquium, Dijon, France, Aug. 28 - Sept. 1, 2023}}}
\fancyfoot[C]{}
\renewcommand{\headrulewidth}{0.6pt}
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\usepackage[colorlinks=true,urlcolor=blue,linkcolor=blue,citecolor=blue]{hyperref}
\voffset -.65 cm

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\category {14,13}
\begin{document}

\maketitle  %% This will also build the list of author(s) and addresse(s).

%% Index macro(s): see the abstract samples and the instructions
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%% \index{Item1}
%% \index{Item2}
\index{Hydrogen Spectroscopy}
\index{Antihydrogen Spectroscopy}
\index{Cold Anions}


%% Place the body of your abstract below.

The Doppler-free 1S$_d$-2S$_d$ spectroscopy of trapped hydrogen at 400~$\mu$K obtained at MIT\footnote{\href{https://link.aps.org/doi/10.1103/PhysRevLett.77.255}{doi:10.1103/PhysRevLett.77.255}, C. L. Cesar et al., Two-Photon Spectroscopy of Trapped Atomic Hydrogen, \emph{ Phys. Rev. Lett.} \textbf{77}, 255 (1996)} in 1995 can be compared (see figure below) to that of trapped antihydrogen  at $\approx$ 300~mK obtained in 2018 at the ALPHA experiment\footnote{\href{https://doi.org/10.1038/s41586-018-0017-2}{doi:10.1038/s41586-018-0017-2}, M. Ahmadi, B. X. R. Alves, et al., Characterization of the 1S?2S transition in antihydrogen, \emph{Nature} \textbf{557}, 71 (2018)} at CERN. The frequency measurement of the trapped antihydrogen transition compared to that of hydrogen obtained in a beam at Garching\footnote{\href{https://link.aps.org/doi/10.1103/PhysRevLett.107.203001}{doi:10.1103/PhysRevLett.107.203001}, Parthey, C.G. et al., Improved measurement of the hydrogen 1S--2S transition frequency, {\em Phys. Rev. Lett.} {\bf 107}, 203001 (2011)}, extrapolated to the ALPHA conditions of magnetic field in the trap sets a comparison of the two species to 2 parts in 10$^{12}$. This is the most precise comparison of matter and antimatter to date. Observing the figures below it is clear that this comparison can be pushed beyond 14 significant figures if systematic effects -- such as the magnetic field environment, laser intensity and its AC Stark shift -- are controlled. Since this comparison is meant to a test of the Charge-Parity-Time symmetry, even being in the same geographical position symultaneously is relevant.The route for this is to introduce hydrogen atoms in the same antihydrogen trap and let it be subjected to the same magnetic fields, and laser. I will discuss a prospective solution for loading hydrogen atoms in the ALPHA trap by a recently developed technique where we produce trapped cold hydrogen anions\footnote{\href{https://doi.org/10.1038/s42005-023-01228-7}{doi:10.1038/s42005-023-01228-7}, Azevedo, L.O.A., Costa, R.J.S., Wolff, W. et al., Adaptable platform for trapped cold electrons, hydrogen and lithium anions and cations, {\em Commun. Phys.}  {\bf 6}, 112 (2023) }. These H$^-$ anions, at ultra-high vacuum condition, can be guided to the ALPHA trap -- a Penning and superposed magnetic trap -- and can then be neutralized by near-threshold photodetachment resulting in a fraction of trapped low temperature hydrogen atoms. A scheme for detecting laser spectroscopy on H atoms trapped in the ALPHA experiment has already been presented\footnote{\href{https://doi.org/10.1088/0953-4075/49/7/074001}{doi:10.1088/0953-4075/49/7/074001}, C. L. Cesar, A sensitive detection method for high resolution spectroscopy of trapped antihydrogen, hydrogen and other trapped species, {\em J. Phys. B} {\bf 49}, 074001 (2016)}. 

\begin{figure}[h]
\centering
\includegraphics[width=5cm]{FigH.eps} 
\includegraphics[trim=0 0 24cm 0,clip, width=7cm]{FigHbar.eps}  
\caption{\small {Doppler-Free 1S-2S spectrum of trapped hydrogen$^1$ (left) and antihydrogen$^2$ (right).}}
\label{fig:Hspec}
\end{figure}

%\centerline{\psfig{figure=FigH.eps,width=4.5cm} 
%\caption{\small {Doppler-Free 1S-2S spectrum of trapped hydrogen$^1$ (left) and antihydrogen$^2$ (right).}}
%\label{fig:Hspec}}

}

\end{document}
