2018
DOI: 10.1103/physreva.97.012501
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Metrology of high- n Rydberg states of molecular hydrogen with Δν/ν=2×1010 accuracy

Abstract: Precision spectroscopy of molecular Rydberg states of high principal quantum number (n ≥ 50) followed by Rydberg series extrapolation currently represents the most accurate method of determining the ionization energies of neutral molecules. Until recently, such determinations relied on the use of pulsed laser radiation and supersonic molecular beams, which limited the spectral linewidths and induced ac-Stark shifts, thus causing undesirable statistical and systematic uncertainties. We report on the combination… Show more

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Cited by 28 publications
(19 citation statements)
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“…For the ionization energies of heavy, multi-electron systems like K and Cs, the achievable experimental accuracy currently exceeds the accuracy of theoretical ab-initio calculations by orders of magnitude. However, apply- ing similar techniques to lighter systems, such as H 2 [3], provides a test bed for the development of theoretical methods [66][67][68][69] and might allow for improved determinations of fundamental constants [9,66]. In addition to the ionization energy, we obtained energy dependent quantum defects for the s, p, d, f and g series in 39 K. This set of quantum defects in 39 K improves previous work [14][15][16] and can be used, e.g., in the calculation of Rydberg-Rydberg interaction potentials [5,6] and of the energy-level structure of long-range Rydberg molecules [4,70].…”
Section: Discussionmentioning
confidence: 99%
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“…For the ionization energies of heavy, multi-electron systems like K and Cs, the achievable experimental accuracy currently exceeds the accuracy of theoretical ab-initio calculations by orders of magnitude. However, apply- ing similar techniques to lighter systems, such as H 2 [3], provides a test bed for the development of theoretical methods [66][67][68][69] and might allow for improved determinations of fundamental constants [9,66]. In addition to the ionization energy, we obtained energy dependent quantum defects for the s, p, d, f and g series in 39 K. This set of quantum defects in 39 K improves previous work [14][15][16] and can be used, e.g., in the calculation of Rydberg-Rydberg interaction potentials [5,6] and of the energy-level structure of long-range Rydberg molecules [4,70].…”
Section: Discussionmentioning
confidence: 99%
“…In this measurement series, the electric-field-compensation configuration I was employed. In a second set of measurements (labelled II below), the ring-dye-laser frequency is directly locked to the frequency comb [3]. In the measurements series II, and for all measurements on s, d, f and g Rydberg states by millimeter-wave spectroscopy, the electric-field-compensation configuration II was used.…”
Section: Methodsmentioning
confidence: 99%
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“…The beat signal measured with the photodiode is filtered by the frequency-comb electronics and is compared with a passive frequency discriminator inside a home-built electronic unit to generate an error signal, as described in Ref. [31]. This signal is used to control the reference cavity of the laser [31] and to ensure, by means of a proportional-integral-derivative (PID) feedback-controlled loop, that the beat frequency is locked at 60 MHz [32].…”
mentioning
confidence: 99%
“…We refer to Ref. [40] for further details concerning the determination of experimental uncertainties.…”
mentioning
confidence: 99%