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Nils Nemitz

Publications and source records attributed to Nils Nemitz.

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An Accessible Formulation for Defining the SI Second Based on Multiple Atomic Transitions

The atomic transitions employed in the best of today's optical clocks are a strong foundation for the upcoming redefinition of the SI second. Including multiple transitions in the definition offers increased accuracy, a robust diversity of implementations and would drive continuous performance validation through frequency comparisons. The cost is that such a definition is more complex to articulate and feared to be challenging to implement. We show that it can be made more approachable to intuition, illustration and implementation through formulating this ensemble definition of the SI second in terms of the weighted arithmetic mean of normalized atomic transition frequencies. This definition produces the same results as the presently discussed option up to second order terms of order 10^-30 or below.

physics.atom-ph

Frequency ratio of an $^{115}$In$^+$ ion clock and a $^{87}$Sr optical lattice clock

We report on the first frequency ratio measurement of an $^{115}$In+ single ion clock and a $^{87}$Sr optical lattice clock. A hydrogen maser serves as a reference oscillator to measure the ratio by independent optical combs. Over more than 90 000 seconds of measurement time, the frequency ratio $f_{\rm{In^+}}/f_{\rm{Sr}}$ is determined to be 2.952 748 749 874 863 4(21) with relative uncertainty of $7.0 \times 10^{-16}$. The measurement creates a new connection in the network of frequency ratios of optical clocks.

physics.atom-ph

Absolute frequency of $^{87}\mathrm{Sr}$ at $1.8 \times 10^{-16}$ uncertainty by reference to remote Primary Frequency Standards

The optical lattice clock NICT-Sr1 regularly reports calibration measurements of the international timescale TAI. By comparing measurement results to the reports of eight Primary Frequency Standards, we find the absolute frequency of the $^{87}\mathrm{Sr}$ clock transition to be f(Sr)=$429\,228\,004\,229\,873.082(76)$, with a fractional uncertainty of less than 1.8x10$^{-16}$ approaching the systematic limits of the best realization of SI second. Our result is consistent with other recent measurements and further supported by the loop closure over the absolute frequencies of $^{87}\mathrm{Sr}$, $^{171}\mathrm{Yb}$ and direct optical measurements of their ratio.

physics.atom-ph

Modeling light shifts in optical lattice clocks

We present an extended model for the lattice-induced light shifts of the clock frequency in optical lattice clocks, applicable to a wide range of operating conditions. The model extensions cover radial motional states with sufficient energies to invalidate the harmonic approximation of the confining potential. We reevaluate lattice-induced light shifts in our Yb optical lattice clock with an uncertainty of 6.1E-18 under typical clock operating conditions.

physics.atom-ph

Decomposed description of Ramsey spectra under atomic interactions

We introduce a description of Ramsey spectra under atomic interactions as a sum of decomposed components with differing dependence on interaction parameters. This description enables intuitive understanding of the loss of contrast and asymmetry of Ramsey spectra. We derive a quantitative relationship between the asymmetry and atomic interaction parameters, which enables their characterization without changing atom density. The model is confirmed through experiments with a Yb optical lattice clock.

physics.atom-ph

Frequency ratio of Yb and Sr clocks with $5 \times 10^{-17}$ uncertainty at 150 s averaging time

Transition frequencies of atoms and ions are among the most accurately accessible quantities in nature, playing important roles in pushing the frontiers of science by testing fundamental laws of physics, in addition to a wide range of applications such as satellite navigation systems. Atomic clocks based on optical transitions approach uncertainties of $10^{-18}$, where full frequency descriptions are far beyond the reach of the SI second. Frequency ratios of such super clocks, on the other hand, are not subject to this limitation. They can therefore verify consistency and overall accuracy for an ensemble of super clocks, an essential step towards a redefinition of the second. However, with the measurement stabilities so far reported for such frequency ratios, a confirmation to $1 \times 10^{-18}$ uncertainty would require an averaging time $τ$ of multiple months. Here we report a measurement of the frequency ratio of neutral ytterbium and strontium clocks with a much improved stability of $4 \times 10^{-16} (τ/s)^{-1/2}$. Enabled by the high stability of optical lattice clocks interrogating hundreds of atoms, this marks a 90-fold reduction in the required averaging time over a previous record-setting experiment that determined the ratio of Al+ and Hg+ single-ion clocks to an uncertainty of $5.2 \times 10^{-17}$. For the Yb/Sr ratio, we find R = 1.207 507 039 343 337 749(55), with a fractional uncertainty of $4.6 \times 10^{-17}$.

physics.atom-ph

Frequency ratios of Sr, Yb and Hg based optical lattice clocks and their applications

This article describes the recent progress of optical lattice clocks with neutral strontium ($^{87}$Sr), ytterbium ($^{171}$Yb) and mercury ($^{199}$Hg) atoms. In particular, we present frequency comparison between the clocks locally via an optical frequency comb and between two Sr clocks at remote sites using a phase-stabilized fibre link. We first review cryogenic Sr optical lattice clocks that reduce the room-temperature blackbody radiation shift by two orders of magnitude and serve as a reference in the following clock comparisons. Similar physical properties of Sr and Yb atoms, such as transition wavelengths and vapour pressure, have allowed our development of a compatible clock for both species. A cryogenic Yb clock is evaluated by referencing a Sr clock. We also report on a Hg clock, which shows one order of magnitude less sensitivity to blackbody radiation, while its large nuclear charge makes the clock sensitive to the variation of fine-structure constant. Connecting all three types of clocks by an optical frequency comb, the ratios of the clock frequencies are determined with uncertainties smaller than possible through absolute frequency measurements. Finally, we describe a synchronous frequency comparison between two Sr-based remote clocks over a distance of 15 km between RIKEN and the University of Tokyo, as a step towards relativistic geodesy.

physics.atom-ph

Atomic trajectory characterization in a fountain clock based on the spectrum of a hyperfine transition

We describe a new method to determine the position of the atomic cloud during its interaction with the microwave field in the cavity of a fountain clock. The positional information is extracted from the spectrum of the F=3,mF=0 to F=4,mF=-1 hyperfine transition, which shows a position dependent asymmetry when the magnetic C-field is tilted by a few degrees with respect to the cavity axis. Analysis of this spectral asymmetry provides the horizontal center-of-mass position for the ensemble of atoms contributing to frequency measurements. With an uncertainty on the order of 0.1 mm, the obtained information is useful for putting limits on the systematic uncertainty due to distributed cavity phase gradients. The validity of the new method is demonstrated through experimental evidence.

physics.atom-ph