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arXiv:2603.22080

Standalone optical frequency-offset locking electronics for atomic physics

K. Shalaby, T. Hunt, S. Moir, P. Trottier, T. Reuschel, B. Barrett

physics.atom-phphysics.ins-detquant-phSubmitted Mar 23, 2026• Announced Mar 24, 2026
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Abstract

We present a standalone frequency-offset locking system for controlling narrow-linewidth lasers using off-the-shelf electronic components. We lock two frequency-doubled 1560 nm lasers to a stable primary laser operating at 780 nm via their optical beat note. This radio-frequency beat note is fed through a broadband variable divider, a frequency-to-voltage converter, and a proportional-integrator controller to lock each follower laser to a tunable offset frequency relative to the primary. This architecture provides a large capture range ($> 1$ GHz), fast response times ($< 1$ ms), and high linearity. We achieve a frequency resolution of 1.9 kHz and a short-term fractional frequency instability $10^{-11}/\sqrt{τ\rm (s)}$ at 780 nm without the need for a dedicated, precise clock reference. We perform high-resolution spectroscopy of cold $^{87}$Rb atoms to demonstrate the tunability and precision of our locking system. We designed the system to be modular and extensible, making it applicable to a wide variety of atomic physics experiments, including laser cooling, spectroscopy, and quantum sensing with atoms, ions, and molecules.

Journal reference
Rev. Sci. Instrum. 97, 033004 (2026)
DOI
10.1063/5.0321289
Comments
9 pages, 8 figures, accepted in Review of Scientific Instruments. Circuit designs are available from the following repository: 10.5281/zenodo.18876772

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We present a standalone frequency-offset locking system for controlling narrow-linewidth lasers using off-the-shelf electronic components. We lock two frequency-doubled 1560 nm lasers to a stable primary laser operating at 780 nm via their optical beat note. This radio-frequency beat note is fed through a broadband variable divider, a frequency-to-voltage converter, and a proportional-integrator controller to lock each follower laser to a tunable offset frequency relative to the primary. This architecture provides a large capture range (>1> 1>1 GHz), fast response times (<1< 1<1 ms), and high linearity. We achieve a frequency resolution of 1.9 kHz and a short-term fractional frequency instability 10−11/τ(s)10^{-11}/\sqrt{τ\rm (s)}10−11/τ(s)​ at 780 nm without the need for a dedicated, precise clock reference. We perform high-resolution spectroscopy of cold 87^{87}87Rb atoms to demonstrate the tunability and precision of our locking system. We designed the system to be modular and extensible, making it applicable to a wide variety of atomic physics experiments, including laser cooling, spectroscopy, and quantum sensing with atoms, ions, and molecules.
We present a scheme to phase-lock a 240 mW, 852 nm distributed Bragg reflector (DBR) laser to a fixed-frequency narrow-linewidth laser with a rapidly tunable frequency offset near 9 GHz. The phase-lock is accomplished by electronic feedback on the beatnote between the two lasers. The frequency offset can be swept 200 MHz in 300 µ s, limited by the feedback loop bandwidth, allowing for its use in complex cooling and state preparation schemes needed in atomic physics experiments. Additionally, we find that the phase-lock reduces the linewidth of the DBR laser below its natural linewidth of ∼400 kHz to ∼100 kHz.
We demonstrate a straightforward frequency-locking technique that employs external modulation saturation absorption spectroscopy to achieve a high-performance 780 nm laser system. By externally modulating the laser frequency through a fiber electro-optic modulator, this scheme can stabilize multiple transitions of the 87Rb D2 line with excellent performance. Experimental results establish fractional frequency instability of 2.21 × 10-13 at 1 s with a linewidth of 1.46 kHz for the cycling transition 5S1/2(Fg = 2) → 5P3/2(Fe = 3). Notably, we have locked the system to the repumping transition 5S1/2(Fg = 1) → 5P3/2(Fe = 2), achieving a record-low instability of 1.98 × 10-12 at 1 s averaging time. This simplified laser system, featuring exceptional short-term frequency stability and multi-frequency locking capability, serves as a critical subsystem for the compact cold-atom optical clock, enabling advanced precision metrology applications. Furthermore, its metrological performance enables immediate applications in other quantum sensors, such as Rydberg electrometry, atomic magnetometry, and matter-wave interferometry.
Quantum information processing using atomic qubits requires narrow linewidth lasers with long-term stability for high fidelity coherent manipulation of Rydberg states. In this paper, we report on the construction and characterization of three continuous-wave (CW) narrow linewidth lasers stabilized simultaneously to an ultra-high finesse Fabry-Perot cavity made of ultra-low expansion (ULE) glass, with a tunable offset-lock frequency. One laser operates at 852~nm while the two locked lasers at 1018~nm are frequency doubled to 509~nm for excitation of 133^{133}133Cs atoms to Rydberg states. The optical beatnote at 509~nm is measured to be 260(5)~Hz. We present measurements of the offset between the atomic and cavity resonant frequencies using electromagnetically induced transparency (EIT) for high-resolution spectroscopy on a cold atom cloud. The long-term stability is determined from repeated spectra over a period of 20 days yielding a linear frequency drift of ∼1\sim1∼1~Hz/s.
We demonstrate a method to simultaneously suppress the linewidths and stabilize the long-term frequency drifts of both 780-nm and 960-nm lasers to the 10-kHz level. We first use an iodine frequency stabilization laser as a frequency reference to stabilize the length of a tunable high-finesse transfer cavity (THFTC). Then two slave lasers of 780 nm and 960 nm are locked to this THFTC. In this way, the linewidths of slave lasers are suppressed to the order of 10 kHz, which are measured by delayed self-heterodyne measurements. Meanwhile, the long-term frequency drifts are stabilized to be less than 22 kHz for 10 h. With the locked lasers, we realize the coherent Rydberg excitation of a single Rb87 atom and keep the exciting stable and repeatable for 10 h, which is essential for Rydberg-mediated single-atom quantum information processing. This dual-laser frequency stabilization and transfer method can also be used in other high-resolution experiments in atomic physics, precision metrology, and molecular spectroscopy.
We use integrated circuit-based frequency-to-voltage conversion of a frequency comb beat signal as the means for laser frequency stabilization that is suitable for narrow-line laser cooling. The method is compared to an atomic beam lock where the laser frequency instability for the new scheme shows an improvement of 2 orders of magnitude at sub-1 s and grants a lock-capture range that is approximately 30 times greater. We employ the locking method on a 1111.6 nm laser that is frequency doubled and used in a dual-wavelength magneto-optical trap for Yb171 atoms, producing atomic cloud temperatures of ∼20 μK.
A simple and robust technique is reported to offset lock a single semiconductor laser to the atom resonance line with a frequency difference easily adjustable from a few tens of megahertz up to tens of gigahertz. The proposed scheme makes use of the frequency modulation spectroscopy by modulating sidebands of a fiber electro-optic modulator output. The short-term performances of a frequency offset locked semiconductor laser are experimentally demonstrated with the Allan variance of around 3.9×10?11 at a 2 s integration time. This method may have many applications, such as in Raman optics for an atom interferometer.