Chip-Scale, Sub-Hz Fundamental Sub-kHz Integral Linewidth 780 nm Laser through Self-Injection-Locking a Fabry-P\'erot laser to an Ultra-High Q Integrated Resonator

Today's state of the art precision experiments in quantum, gravimetry, navigation, time keeping, and fundamental science have strict requirements on the level and spectral distribution of laser frequency noise. For example, the laser interaction with atoms and qubits requires ultra-low frequency noise at multiple offset frequencies due to hyperfine atomic transitions, motional sidebands, and fast pulse sequencing. Chip-scale integration of lasers that meet these requirements is essential for reliability, low-cost, and weight. Here, we demonstrate a significant advancement in atomic precision light sources by realizing a chip-scale, low-cost, 780 nm laser for rubidium atom applications with record-low 640 mHz (white noise floor at 0.2 Hz$^2$/Hz) fundamental and 732 Hz integral linewidths and a frequency noise that is multiple orders of magnitude lower than previous hybrid and heterogeneous self-injection locked 780 nm lasers and lower noise than bulk microresonator implementations. The laser is a Fabry-P\'erot laser diode self-injection locked to an ultra-high Q photonic integrated silicon nitride resonator. This performance is enabled by a 145 million resonator Q with a 30 dB extinction ratio, the highest Q at 780 nm, to the best of our knowledge. We analyze the impact of our frequency noise on specific atomic applications including atomic frequency references, Rydberg quantum gates, and cold atom gravimeters. The photonic integrated resonator is fabricated using a CMOS foundry-compatible, wafer-scale process, with demonstrated integration of other components showing promise for a full system-on-a-chip. This performance is scalable to other visible atomic wavelengths, opening the door to a variety of transitions across many atomic species and enabling low-power, compact, ultra-low noise lasers impacting applications including quantum sensing, computing, clocks and more

Photonic integrated beam delivery in a rubidium 3D magneto-optical trap

Cold atoms are important for precision atomic applications including timekeeping and sensing. The 3D magneto-optical trap (3D-MOT), used to produce cold atoms, will benefit from photonic integration to improve reliability and reduce size, weight, and cost. These traps require the delivery of multiple, large area, collimated laser beams to an atomic vacuum cell. Yet, to date, beam delivery using an integrated waveguide approach has remained elusive. We report the demonstration of a 87Rb 3D-MOT using a fiber-coupled photonic integrated circuit to deliver all beams to cool and trap > 1 x 10^6 atoms to near 200 {\mu}K. The silicon nitride photonic circuit transforms fiber-coupled 780 nm cooling and repump light via waveguides to three mm-width non-diverging free-space cooling and repump beams directly to the rubidium cell. This planar, CMOS foundry-compatible integrated beam delivery is compatible with other components, such as lasers and modulators, promising system-on-chip solutions for cold atom applications

Fully symmetric controllable integrated three-resonator photonic molecule

Photonic molecules can be used to realize complex optical energy states and modes, analogous to those found in molecules, with properties useful for applications like spectral engineering and quantum optics. It is desirable to implement photonic molecules using high quality factor photonic integrated ring resonators due to their narrow atom-like spectral resonance, tunability, and the ability to scale the number of resonators on a photonic circuit. However, to take full advantage of molecule spectral complexity and tuning degree of freedom, resonator structures should have full symmetry in terms of inter-resonator coupling and resonator-waveguide coupling as well as independent resonance tuning, and low power dissipation operation, in a scalable integration platform. To date, photonic molecule symmetry has been limited to dual- and triple-cavity geometries coupled to single- or dual-busses, and resonance tuning limited to dual resonator molecules. In this paper, we demonstrate a three-resonator photonic molecule, consisting of symmetrically coupled 8.11 million intrinsic Q silicon nitride rings, where each ring is coupled to the other two rings. The resonance of each ring, and that of the collective molecule, is controlled using low power dissipation, monolithically integrated thin-film lead zirconate titanate (PZT) actuators that are integrated with the ultra-low loss silicon nitride resonators. This performance is achieved without undercut waveguides, yielding the highest Q to date for a PZT controlled resonator. This advance leads to full control of complex photonic molecule resonance spectra and splitting in a wafer-scale integration platform. The resulting six tunable supermodes can be fully controlled, including degeneracy, location and splitting as well as designed by a model that can accurately predict the energy modes and transmission spectrum and tunable resonance splitting

Photonic integrated beam delivery for a rubidium 3D magneto-optical trap.

Cold atoms are important for precision atomic applications including timekeeping and sensing. The 3D magneto-optical trap (3D-MOT), used to produce cold atoms, will benefit from photonic integration to improve reliability and reduce size, weight, and cost. These traps require the delivery of multiple, large area, collimated laser beams to an atomic vacuum cell. Yet, to date, beam delivery using an integrated waveguide approach has remained elusive. Here we report the demonstration of a 87Rb 3D-MOT using a fiber-coupled photonic integrated circuit to deliver all beams to cool and trap > 1 ×106 atoms to near 200 μK. The silicon nitride photonic circuit transforms fiber-coupled 780 nm cooling and repump light via waveguides to three mm-width non-diverging free-space cooling and repump beams directly to the rubidium cell. This planar, CMOS foundry-compatible integrated beam delivery is compatible with other components, such as lasers and modulators, promising system-on-chip solutions for cold atom applications

Supplementary document for Integrated programmable fully-coupled three bus-ring resonator photonic molecule with ultra-low power piezo-electric control - 6342980.pdf

Supplemental Inf

36 Hz integral linewidth laser based on a photonic integrated 4.0-meter coil resonator

Laser stabilization sits at the heart of many precision scientific experiments and applications, including quantum information science, metrology and atomic timekeeping. These systems narrow the laser linewidth and stabilize the carrier by use of Pound-Drever-Hall (PDH) locking to a table-scale, ultra-high quality factor (Q), vacuum spaced Fabry-Perot reference cavity. Integrating these cavities, to bring characteristics of PDH stabilization to the chip-scale, is critical to reduce their size, cost, and weight, and enable a wide range of portable and system-on-chip applications. We report a significant advance in integrated laser linewidth narrowing, stabilization and noise reduction, by use of a photonic integrated 4.0-meter-long coil resonator to stabilize a semiconductor laser. We achieve a 36 Hz 1/{\pi}-integral linewidth, an Allan deviation (ADEV) of 1.8x10^{-13} at 10 ms measurement time, and a 2.3 kHz/sec drift, to the best of our knowledge the lowest integral linewidth and highest stability demonstrated for an integrated reference cavity. Two coil designs, stabilizing lasers operating at 1550 nm and 1319 nm are demonstrated. The resonator is bus coupled to a 4.0-meter-long coil, with a 49 MHz free spectral range (FSR), a mode volume of 1.0x10^{10} {\mu}m^3 and a 142 million intrinsic Q, fabricated in a CMOS compatible, ultra-low loss silicon nitride waveguide platform. Our measurements and simulations show that the thermorefractive noise floor for this particular cavity is reached for frequencies down to 20 Hz in an ambient environment with simple passive vibration isolation and without vacuum or thermal isolation. The TRN limited performance is estimated to be an 8 Hz 1/{\pi} integral linewidth and ADEV of 5x10^{-14} at 10 ms, opening a stability regime that heretofore has only been available in fundamentally un-integrated systems.Comment: arXiv admin note: text overlap with arXiv:2107.0359

Integrated Reference Cavity for Dual-mode Optical Thermometry and Frequency Stabilization

Optical frequency stabilization is a critical component for precision scientific systems including quantum sensing, precision metrology, and atomic timekeeping. Ultra-high quality factor photonic integrated optical resonators are a prime candidate for reducing their size, weight and cost as well as moving these systems on chip. However, integrated resonators suffer from temperature-dependent resonance drift due to the large thermal response as well as sensitivity to external environmental perturbations. Suppression of the cavity resonance drift can be achieved using precision interrogation of the cavity temperature through the dual-mode optical thermometry. This approach enables measurement of the cavity temperature change by detecting the resonance difference shift between two polarization or optical frequency modes. Yet this approach has to date only been demonstrated in bulk-optic whispering gallery mode and fiber resonators. In this paper, we implement dual-mode optical thermometry using dual polarization modes in a silicon nitride waveguide resonator for the first time, to the best of our knowledge. The temperature responsivity and sensitivity of the dual-mode TE/TM resonance difference is 180.7$\pm$2.5 MHz/K and 82.56 $\mu$K, respectively, in a silicon nitride resonator with a 179.9E6 intrinsic TM mode Q factor and a 26.6E6 intrinsic TE mode Q factor. Frequency stabilization is demonstrated by locking a laser to the TM mode cavity resonance and applying the dual-mode resonance difference to a feedforward laser frequency drift correction circuit with a drift rate improvement to 0.31 kHz/s over the uncompensated 10.03 kHz/s drift rate. Allan deviation measurements with dual-mode feedforward-correction engaged shows that a fractional frequency instability of 9.6E-11 over 77 s can be achieved