A dual-frequency two-photon molecular clock with cold trapped HD+ ions

F. L. Constantin

doi:10.1117/12.2306944

21 May 2018 A dual-frequency two-photon molecular clock with cold trapped HD⁺ ions

F. L. Constantin

Proceedings Volume 10674, Quantum Technologies 2018; 1067403 (2018) https://doi.org/10.1117/12.2306944
Event: SPIE Photonics Europe, 2018, Strasbourg, France

Abstract

This contribution presents a dual-frequency molecular clock with trapped HD⁺ ions based on the two-photon rotational transition (v,L)=(0,1)->(0,3) at 3.268 THz and the two-photon rovibrational transition (v,L)=(0,3)->(9,3) at 207.634 THz which are detected by photodissociation of the (v,L)=(9,3) state. The two-photon transition rates between hyperfine components of HD⁺energy levels and the lightshifts are calculated with the two-photon operator formalism. Temporal dependences of the populations of trapped HD⁺ ions are described by a set of coupled rate equations. The two-photon transitions may be detected efficiently with resolutions at the 10^-13 level. The comparison, with an accuracy estimated at the 10^-12 level, between experimental frequencies of two-photon rotational and rovibrational transitions of selected HD⁺ and H₂⁺ ions and the values derived from quantum electrodynamics calculations may be exploited to determine the Rydberg constant, the proton-to-electron and deuteron-to-proton mass ratios, the proton and the deuteron radii independently on previous results. Depending on possible issues of the proton radius puzzle, measurements of hydrogen molecular ion two-photon transitions may improve the determination of the proton-to-electron and deuteron-to-proton mass ratios beyond the 10^-11 level.

Citation Download Citation

F. L. Constantin "A dual-frequency two-photon molecular clock with cold trapped HD⁺ ions", Proc. SPIE 10674, Quantum Technologies 2018, 1067403 (21 May 2018); https://doi.org/10.1117/12.2306944

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KEYWORDS

Ions

Clocks

Polarization

Molecular quantum electrodynamics

Ion-photon coupling

Multiphoton spectroscopy

Terahertz spectroscopy

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