An optical atomic clock based on a highly charged ion.

Optical atomic clocks are the most accurate measurement devices ever constructed and have found many applications in fundamental science and technology1-3. The use of highly charged ions (HCI) as a new class of references for highest-accuracy clocks and precision tests of fundamental physics4-11 has long been motivated by their extreme atomic properties and reduced sensitivity to perturbations from external electric and magnetic fields compared with singly charged ions or neutral atoms. Here we present the realization of this new class of clocks, based on an optical magnetic-dipole transition in Ar13+. Its comprehensively evaluated systematic frequency uncertainty of 2.2 × 10-17 is comparable with that of many optical clocks in operation. From clock comparisons, we improve by eight and nine orders of magnitude on the uncertainties for the absolute transition frequency12 and isotope shift (40Ar versus 36Ar) (ref. 13), respectively. These measurements allow us to investigate the largely unexplored quantum electrodynamic (QED) nuclear recoil, presented as part of improved calculations of the isotope shift, which reduce the uncertainty of previous theory14 by a factor of three. This work establishes forbidden optical transitions in HCI as references for cutting-edge optical clocks and future high-sensitivity searches for physics beyond the standard model.

End-to-end topology for fiber comb based optical frequency transfer at the 10-21 level: erratum.

In this erratum we correct errors in the scaling and caption of Fig. 4 in the original manuscript [1].

End-to-end topology for fiber comb based optical frequency transfer at the 10-21 level.

We introduce a simple and robust scheme for optical frequency transfer of an ultra-stable source light field via an optical frequency comb to a field at a target optical frequency, where highest stability is required, e.g., for the interrogation of an optical clock. The scheme relies on a topology for end-to-end suppression of the influence of optical path-length fluctuations, which is attained by actively phase-stabilized delivery, combined with common-path propagation. This approach provides a robust stability improvement without the need for additional isolation against environmental disturbances such as temperature, pressure or humidity changes. We measure residual frequency transfer instabilities by comparing the frequency transfers carried out with two independent combs simultaneously. Residual fractional frequency instabilities between two systems of 8 × 10-18 at 1 s and 3 × 10-21 at 105 s averaging time are observed. We discuss the individual noise contributions to the residual instability. The presented scheme is technically simple, robust against environmental parameter fluctuations and enables an ultra-stable frequency transfer, e.g., to optical clock lasers or to lasers in gravitational wave detectors.

Phase noise of frequency doublers in optical clock lasers.

Frequency doublers are widely used in high-resolution spectroscopy to shift the operation wavelength of a laser to a more easily accessible or otherwise preferable spectral region. We investigate the use of a periodically-poled lithium niobate (PPLN) waveguide frequency doubler in an optical clock. We focus on the phase evolution between the fundamental (1396 nm) and frequency-doubled (698 nm) light and its effect on clock performance. We find that the excess phase noise of the doubler under steady-state operation is at least two orders of magnitude lower than the noise of today's best interrogation lasers. Phase chirps related to changes of the optical power in the doubler unit and their influence on the accuracy of optical clocks are evaluated. We also observe substantial additional noise when characterizing the doubler unit with an optical frequency comb instead of using two identical waveguide doublers.

946-nm Nd:YAG digital-locked laser at 1.1 × 10-16 in 1 s and transfer-locked to a cryogenic silicon cavity.

We present a Nd:YAG ultra-stable laser system operating at 946 nm and demonstrate a fractional frequency instability of 1.1×10-16 at 1 s by pre-stabilizing it to a 30-cm-long ULE cavity at room temperature. All key analog components have been replaced by FPGA-based digital electronics. To reach an instability below the 10-16 level, we transfer the stability of a 1542 nm laser stabilized to a cryogenic silicon cavity exhibiting a fractional frequency instability of 4×10-17at 1 s to the laser at 946 nm.

Phase-predictable tuning of single-frequency optical synthesizers.

We investigate the tuning behavior of a novel type of single-frequency optical synthesizers by phase comparison of the output signals of two identical devices. We achieve phase-stable and cycle-slip free frequency tuning over 28.1 GHz with a maximum zero-to-peak phase deviation of 62 mrad. In contrast to previous implementations of single-frequency optical synthesizers, no comb line order switching is needed when tuned over more than one comb line spacing range of the employed frequency comb.

High contrast, low noise selection and amplification of an individual optical frequency comb line.

We present a frequency-selective amplifier for optical frequency combs based on stimulated Brillouin scattering and the effect of a Brillouin dynamic grating. A user defined individual frequency comb line is amplified while the other comb lines are efficiently suppressed, rendering a frequency-stable clean-up oscillator unnecessary. A measured signal to noise ratio of 89 dBc/Hz proves the suitability of the method for phase coherent measurements. The overall noise figure is 6 dB.

Robust interferometric frequency lock between cw lasers and optical frequency combs.

A transfer interferometer is presented which establishes a versatile and robust optical frequency locking link between a tunable single frequency laser and an optical frequency comb. It enables agile and continuous tuning of the frequency difference between both lasers while fluctuations and drift effects of the transfer interferometer itself are widely eliminated via common mode rejection. Experimental results will be presented for a tunable extended-cavity 1.5 µm laser diode locked to an Er-fiber based frequency comb.

Endless frequency shifting of optical frequency comb lines.

The functional principle of a novel technique for frequency shifting lines of an optical frequency comb is demonstrated. The underlying principle is to shift the carrier frequency by changing the carrier phase within the time span between subsequent pulses of a mode-locked laser used as comb generator. This universal frequency shifter does not require intrusion into the comb generator and provides high agility for arbitrary temporal frequency evolutions.

Small third-order optical-nonlinearity detection free of laser parameters.

We demonstrate a novel, versatile method for sensitive measurement of nonresonant third-order optical nonlinearities in waveguides. The measurement is referenced to a bulk sample with well-known nonlinear optical properties, thus ruling out the influence of laser pulse parameters like duration, contrast, and spectral phase or amplitude. Since the generated mixing product is heterodyne detected, extremely small third-order optical nonlinearities, e.g., from air-filled short waveguides, can be measured.

Characterization of ultrashort optical pulse properties by amplitude-modulation-balanced heterodyne gating.

We present a general approach for the measurement of the properties of optical pulses by exploiting features of the optical carrier domain. We demonstrate the principle of a novel balanced detection scheme that avoids the difficulties associated with homodyne detection in the baseband used in linear optical sampling methods so far. The residual timing instability of the repetition rate synchronization between mode-locked lasers is measured with the new detection technique.

Circumvention of noise contributions in fiber laser based frequency combs.

We investigate the performance of an Er:fiber laser based femtosecond frequency comb for precision metrological applications. Instead of an active stabilization of the comb, the fluctuations of the carrier-envelope offset phase, the repetition phase, and the phase of the beat from a comb line with an optical reference are synchronously detected. We show that these fluctuations can be effectively eliminated by exploiting their known correlation. In our experimental scheme, we utilize two identically constructed frequency combs for the measurement of the fluctuations, rejecting the influence of a shared optical reference. From measuring a white frequency noise level, we demonstrate that a fractional frequency instability better than 1.4 x 10(-14) for 1 s averaging time can be achieved in frequency metrology applications using the Er:fiber based frequency comb.