Frequency Comparison of Two High-Accuracy Al+ Optical Clocks

Abstract

We have constructed an optical clock with a fractional frequency inaccuracy of 8.6e-18, based on quantum logic spectroscopy of an Al+ ion. A simultaneously trapped Mg+ ion serves to sympathetically laser-cool the Al+ ion and detect its quantum state. The frequency of the 1S0->3P0 clock transition is compared to that of a previously constructed Al+ optical clock with a statistical measurement uncertainty of 7.0e-18. The two clocks exhibit a relative stability of 2.8e-15/ sqrt(tau), and a fractional frequency difference of -1.8e-17, consistent with the accuracy limit of the older clock.

4 pages, 2 tables, 3 figures

References in corpus (2)

• Observation of the 1S0 - 3P0 clock transition in 27Al+
• The absolute frequency of the 87Sr optical clock transition

Cited by in corpus (304)

• Trapped-Ion Quantum Computing: Progress and Challenges
• An Optical Lattice Clock with Accuracy and Stability at the $10^{-18}$ Level
• 20 years of developments in optical frequency comb technology and applications
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• An atomic clock with $10^{-18}$ instability
• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• A quantum network of clocks
• A sub-40 mHz linewidth laser based on a silicon single-crystal optical cavity
• Atomic clock performance beyond the geodetic limit
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Single-Ion Atomic Clock with $3\times 10^{-18}$ Systematic Uncertainty
• Hunting for topological dark matter with atomic clocks
• Geodesy and metrology with a transportable optical clock
• Frequency ratio of two optical clock transitions in ${}^{171}$Yb${}^{+}$ and constraints on the time-variation of fundamental constants
• Making optical atomic clocks more stable with $10^{-16}$ level laser stabilization
• A clock network for geodesy and fundamental science
• Searching for dilaton dark matter with atomic clocks
• Gravitational wave detection with optical lattice atomic clocks
• A Single-Ion Nuclear Clock for Metrology at the 19th Decimal Place
• Optical two-way time and frequency transfer over free space
• Highly charged ions: optical clocks and applications in fundamental physics
• Progress in Atomic Fountains at LNE-SYRTE
• Atomic Clocks for Geodesy
• Search for ultralight scalar dark matter with atomic spectroscopy
• Colloquium: Physics of optical lattice clocks
• μW-Level Microresonator Solitons with Extended Stability Range Using an Auxiliary Laser
• Experimenting an optical second with strontium lattice clocks
• High-accuracy optical clock based on the octupole transition in 171Yb+
• A transportable optical lattice clock with $7\times 10^{-17}$ uncertainty
• Frequency ratio of Yb and Sr clocks with $5\times 10^{-17}$ uncertainty at 150 s averaging time
• Comparison of Two Independent Sr Optical Clocks with 1e-17 Stability at 10^3 s
• Seconds-scale coherence in a tweezer-array optical clock
• A strontium lattice clock with $3\times 10^{-17}$ inaccuracy and its frequency
• Multi-Element Logic Gates for Trapped-Ion Qubits
• Compact Optical Atomic Clock Based on a Two-Photon Transition in Rubidium
• Synchronization of Distant Optical Clocks at the Femtosecond Level
• Coherent laser spectroscopy of highly charged ions using quantum logic
• Spin squeezing in a Rydberg lattice clock
• Lattice Induced Frequency Shifts in Sr Optical Lattice Clocks at the $10^{-17}$ Level
• Realization of a time-scale with an accurate optical lattice clock
• Autonomous quantum clocks: does thermodynamics limit our ability to measure time?
• Performance of a 229 Thorium solid-state nuclear clock
• Heisenberg-limited atom clocks based on entangled qubits
• Frequency-stabilization to 6x10^-16 via spectral-hole burning
• Highly-charged ions as a basis of optical atomic clockwork of exceptional accuracy
• The 87-Sr optical frequency standard at PTB
• Highly-charged ions for atomic clocks, quantum information, and search for $\alpha$-variation
• Long-lived Bell states in an array of optical clock qubits
• Precise determination of micromotion for trapped-ion optical clocks
• Operational Magic Intensity for Sr Optical Lattice Clocks
• Precision calculation of blackbody radiation shifts for optical frequency metrology
• Trapping of Topological-Structural Defects in Coulomb Crystals
• Strong coupling of a single ion to an optical cavity
• A transportable strontium optical lattice clock
• Normal modes of trapped ions in the presence of anharmonic trap potentials
• Frequency measurements of superradiance from the strontium clock transition
• Quantum Variational Optimization of Ramsey Interferometry and Atomic Clocks
• Sympathetic ground state cooling and time-dilation shifts in an ${}^{27}{\text{Al}}^{+}$ optical clock
• Inner-shell clock transition in atomic thulium with small BBR shift
• Sympathetic Cooling of Mixed Species Two-Ion Crystals for Precision Spectroscopy
• ASTROD-GW: Overview and Progress
• A Cold-Strontium Laser in the Superradiant Crossover Regime
• Entanglement and Wigner function negativity of multimode non-Gaussian states
• A transportable 40Ca+ single-ion clock with $7.7\times 10^{-17}$ systematic uncertainty
• Perspective: Tipping the scales - search for drifting constants from molecular spectra
• A neutral atom frequency reference in the deep UV with 10^(-15) range uncertainty
• Entanglement-enhanced detection of single-photon scattering events
• Frequency transfer via a two-way optical phase comparison on a multiplexed fiber network
• Frequency ratios of Sr, Yb and Hg based optical lattice clocks and their applications
• All-optical link for direct comparison of distant optical clocks
• Near Heisenberg limited atomic clocks in the presence of decoherence
• BASE - The Baryon Antibaryon Symmetry Experiment
• Additional clock transitions in neutral ytterbium bring new possibilities for testing physics beyond the Standard Model
• A high-precision rf trap with minimized micromotion for an In+ multiple-ion clock
• Direct comparison of a Ca+ single ion clock against a Sr optical lattice clock
• Blackbody radiation shift assessment for a lutetium ion clock
• Searches for topological defect dark matter via non-gravitational signatures
• Active Stabilization of Ion Trap Radiofrequency Potentials
• Interferometers as Probes of Planckian Quantum Geometry
• Single ions trapped in a one-dimensional optical lattice
• Ion Coulomb Crystals
• Scattering of Cold Atom Coherences by Hot Atoms: Frequency Shifts from Background Gas Collisions
• A Cs-Based Optical Frequency Measurement Using Cross-Linked Optical and Microwave Oscillators
• Eavesdropping time and frequency: phase noise cancellation along a time-varying path, such as an optical fiber
• Strategies for reducing the light shift in atomic clocks
• Magnetic-dipole transitions in highly-charged ions as a basis of ultra-precise optical clocks
• Entanglement-based dc magnetometry with separated ions
• Controlling systematic frequency uncertainties at the $10^{-19}$ level in linear Coulomb crystals
• Resolved-sideband laser cooling in a Penning trap
• Geophysical applicability of atomic clocks: direct continental geoid mapping
• Narrow-line Cooling and Determination of Magic Wavelength of Cd
• Quantum coherence between two atoms beyond Q=10^15
• Field-test of a robust, portable, frequency-stable laser
• Precision spectroscopy by photon-recoil signal amplification
• H2+ and HD+: candidates for a molecular clock
• Towards a Mg lattice clock: Observation of the ${}^1{S}_0-$${}^3{P}_0$ transition and determination of the magic wavelength
• Hydrogen molecular ions for improved determination of fundamental constants
• Prospects for atomic clocks based on large ion crystals
• A far-off-resonance optical trap for a Ba${}^{+}$ ion
• A cavity-stabilized laser with acceleration sensitivity below $10^{-12}$/g
• Absolute frequency measurement of the 1S0 - 3P0 transition of 171Yb
• QED shifts in multivalent heavy ions
• Towards a Transportable Aluminium Ion Quantum Logic Optical Clock
• Laser frequency stabilization based on steady-state spectral-hole burning in Eu${}^{3+}$:Y${}_2$SiO${}_5$
• Detection of the $5p-4f$ orbital crossing and its optical clock transition in Pr${}^{9+}$
• Progress and perspectives on composite laser-pulses spectroscopy for high-accuracy optical clocks
• Analysis of thermal radiation in ion traps for optical frequency standards
• Lorentz and CPT Tests with Clock-Comparison Experiments
• Search for the effect of massive bodies on atomic spectra and constraints on Yukawa-type interactions of scalar particles
• High-Stability Single-Ion Clock with $5.5\times 10^{-19}$ Systematic Uncertainty
• Direct comparison of optical lattice clocks with an intercontinental baseline of 9 000 km
• Optical-Clock-Based Time Scale
• Relativistic general-order coupled-cluster method for high-precision calculations: Application to Al+ atomic clock
• High-precision atomic clocks with highly charged ions: nuclear spin-zero $f^{12}$-shell ions
• Providing 1E-16 short-term stability of a 1.5 μm laser to optical clocks
• Damage-free single-mode transmission of deep-UV light in hollow-core PCF
• Extended coherence time on the clock transition of optically trapped Rubidium
• CPT tests with the antihydrogen molecular ion
• Efficient sympathetic motional ground-state cooling of a molecular ion
• Stability Transfer between Two Clock Lasers Operating at Different Wavelengths for Absolute Frequency Measurement of Clock Transition in 87Sr
• Spectroscopy and frequency measurement of the ${}^{87}$Sr clock transition by laser linewidth transfer using an optical frequency comb
• A highly stable monolithic enhancement cavity for SHG generation in the UV
• Atomic clocks with suppressed blackbody radiation shift
• The unit of time: present and future directions
• Frequency ratio measurement of 171Yb and 87Sr optical lattice clocks
• Oscillating magnetic field effects in high precision metrology
• Modified hyper-Ramsey methods for the elimination of probe shifts in optical clocks
• Quantum Lock-in Force Sensing using Optical Clock Doppler Velocimetry
• Vacuum spin squeezing
• Fiber-coupled single ion as an efficient quantum light source
• Phase locking a clock oscillator to a coherent atomic ensemble
• Multipolar Black Body Radiation Shifts for the Single Ion Clocks
• Optical trapping of ion Coulomb crystals
• Electronically excited cold ion crystals
• ${}^{115}$In${}^{+}$-${}^{172}$Yb${}^{+}$ Coulomb crystal clock with $2.5\times 10^{-18}$ systematic uncertainty
• Polarization-gradient cooling of 1D and 2D ion Coulomb crystals
• Thermal noise limited higher-order mode locking of a reference cavity
• Atomic properties of Cd-like and Sn-like ions for the development of frequency standards and search for the variation of the fine-structure constant
• Sympathetic cooling of molecular ion motion to the ground state
• Radial two-dimensional ion crystals in a linear Paul trap
• Single-ion, transportable optical atomic clocks
• Ion trajectory analysis for micromotion minimization and the measurement of small forces
• Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values
• Sub-milliKelvin spatial thermometry of a single Doppler cooled ion in a Paul trap
• Reducing the effect of thermal noise in optical cavities
• Improved Absolute Frequency Measurement of the 171Yb Optical Lattice Clock at KRISS Relative to the SI Second
• Suppressing inhomogeneous broadening in a lutetium multi-ion optical clock
• Trapping Ions and Atoms Optically
• Demonstration of the nearly continuous operation of an ${}^{171}$Yb optical lattice clock for half a year
• Realization of phase locking in good-bad-cavity active optical clock
• Probing Time Dilation in Coulomb Crystals in a high-precision Ion Trap
• A Single-Ion Trap with Minimized Ion-Environment Interactions
• Shifts of optical frequency references based on spectral-hole burning in Eu:Y2SiO5
• Fiber Based Multiple-Access Optical Frequency Dissemination
• Multi-Channel Data Acquisition System with Absolute Time Synchronization
• Measurements of ${}^{27}$Al${}^{+}$ and ${}^{25}$Mg${}^{+}$ magnetic constants for improved ion clock accuracy
• Entanglement and spin-squeezing in a network of distant optical lattice clocks
• Atomic Properties of Lu${}^{+}$
• Absolute frequency measurement with uncertainty below $1\times 10^{-15}$ using International Atomic Time
• Quantum Algorithmic Readout in Multi-Ion Clocks
• Efficient photoionization for barium ion trapping using a dipole-allowed resonant two-photon transition
• Combining fiber Brillouin amplification with a repeater laser station for fiber-based optical frequency dissemination over 1400 km
• Absolute frequency measurement of the ${}^2$S${}_{1/2}{\to }^2$F${}_{7/2}$ optical clock transition in ${}^{171}$Yb${}^{+}$ with an uncertainty of $4\times 10^{-16}$ using a frequency link to International Atomic Time
• Compact FPGA-based pulse-sequencer and radio-frequency generator for experiments with trapped atoms
• Simple vibration insensitive cavity for laser stabilization at the 10^{-16} level
• Systematic uncertainty due to background-gas collisions in trapped-ion optical clocks
• Observation of Motion Dependent Nonlinear Dispersion with Narrow Linewidth Atoms in an Optical Cavity
• Evaluation of trap-induced systematic frequency shifts for a multi-ion optical clock at the $10^{-19}$ level
• On the prospects of building optical atomic clocks using Er I or Er III
• Cooling antihydrogen ions for the free-fall experiment GBAR
• Hyperfine-mediated electric quadrupole shifts in Al${}^{+}$ and In${}^{+}$ ion clocks
• Ab initio quantum theory of mass defect and time dilation in trapped-ion optical clocks
• Quadrupole Shifts for the ${}^{171}$Yb${}^{+}$ Ion Clocks: Experiments versus Theories
• Precise determination of the isotope shift of ${}^{88}$Sr - ${}^{87}$Sr optical lattice clock by sharing perturbations
• Laser locking to the 199Hg clock transition with 5.4x10^(-15)/sqrt(tau) fractional frequency instability
• Direct observation of atom-ion non-equilibrium sympathetic cooling
• Robust optical clock transitions in trapped ions
• Optical Atomic Clock Comparison through Turbulent Air
• Evaluation of the systematic shifts of a ${}^{40}{\text{Ca}}^{+}-{}^{27}{\text{Al}}^{+}$ optical clock
• A Prototype of a Compact Rubidium-Based Optical Frequency Reference for Operation on Nanosatellites
• Minimization of ion micromotion using ultracold atomic probes
• Absolute and relative stability of an optical frequency reference based on spectral hole burning in Eu${}^{3+}$:Y${}_2$SiO${}_5$
• Fast quantum control in dissipative systems using dissipationless solutions
• Effect of soil temperature on one-way optical frequency transfer through dense-wavelength-division-multiplexing fibre links
• Optical Barium Ion Qubit
• Optical atomic clocks with suppressed black body radiation shift
• Polarizabilities of Si^{2+}: a benchmark test of theory and experiment
• Uncertainty evaluation of an ${}^{171}$Yb optical lattice clock at NMIJ
• Distributed Raman optical amplification in phase coherent transfer of optical frequencies
• Hyperfine averaging by dynamic decoupling in a multi-ion lutetium clock
• Coherent rotations of qubits within a multi-species ion-trap quantum computer
• The quantum Allan variance
• Observation of an Inner-Shell Orbital Clock Transition in Neutral Ytterbium Atoms
• Digital laser frequency control and phase stabilization loops for a high precision space-borne metrology system
• High-precision spectroscopy of the HD+ molecule at the 1-p.p.b. level
• Synthetic Frequency Protocol in the Ramsey Spectroscopy of Clock Transitions
• Infrared dynamic polarizability of HD+ rovibrational states
• A novel scheme for hundred-hertz linewidth measurements with self-heterodyne method
• Spacecraft Clocks and Relativity: Prospects for Future Satellite Missions
• Time keeping and searching for new physics using metastable states of Cu, Ag and Au
• Yukawa effects on the clock onboard a drag-free satellite
• A tweezer clock with half-minute atomic coherence at optical frequencies and high relative stability
• Ground-state cooling of a trapped ion using long-wavelength radiation
• Sideband cooling of small ion Coulomb crystals in a Penning trap
• Microwave control of trapped-ion motion assisted by a running optical lattice
• Searching for New Physics Through AMO Precision Measurements
• A Novel, Robust Quantum Detection Scheme
• Measurement of the Kr XVIII 3d ${}^2{D}_{5/2}$ lifetime at low energy in a unitary Penning trap
• Anomalously small blackbody radiation shift in Tl+ frequency standard
• Maintaining Quantum Coherence in the Presence of Noise through State Monitoring
• Absolute frequency measurement of the 87Sr optical lattice clock at NTSC using International Atomic Time
• New Atomic probes for Dark Matter detection: Axions, Axion-like particles and Topological Defects
• Detecting gravitational decoherence with clocks: Limits on temporal resolution from a classical channel model of gravity
• Accuracy estimation of the 16O2+ transition frequencies targeting the search for the variation in mp/me
• Magic wavelengths for lattice trapped Rubidium four-level active optical clock
• Highly-polarizable ion in a Paul trap
• Improved Frequency Ratio Measurement with 87Sr and 171Yb Optical Lattice Clocks at NMIJ
• Universal ultra-robust interrogation protocol with zero probe-field-induced frequency shift for quantum clocks and high-accuracy spectroscopy
• Simple High-Bandwidth Sideband Locking with Heterodyne Readout
• Annexing magic and tune-out wavelengths to the clock transitions of the alkaline-earth metal ions
• Broadband, unpolarized repumping and clearout light sources for Sr${}^{+}$ single-ion clocks
• Quantum logic inspired techniques for spacetime-symmetry tests with (anti-)protons
• State-selective coherent motional excitation as a new approach for the manipulation, spectroscopy and state-to-state chemistry of single molecular ions
• Suppression of clock shifts at field-insensitive transitions
• Motion and gravity effects in the precision of quantum clocks
• Mass Defect Effects in Atomic Clocks
• Cancellation of Collisional Frequency Shifts in Optical Lattice Clocks with Rabi Spectroscopy
• Sympathetic cooling of ${}^{40}{\text{Ca}}^{+}$ - ${}^{27}{\text{Al}}^{+}$ ion pair crystal in a linear Paul trap
• Residual Phase Noise Measurement of Optical Second Harmonic Generation in PPLN Waveguides
• Generation of vacuum ultraviolet radiation by intracavity high-harmonic generation toward state detection of single trapped ions
• Observation of the ${}^1$S${}_0$ to ${}^3$D${}_1$ clock transition in ${}^{175}$Lu${}^{+}$
• Electric dipole polarizability of group-IIIA ions using PRCC: Large correlation effects from nonlinear terms
• Tunable magic wavelengths for trapping with focused Laguerre-Gaussian beam
• Finite-field calculation of the polarizabilities and hyperpolarizabilities of Al${}^{+}$
• Identity Test of Single NV${}^{-}$ Centers in Diamond at Hz-Precision Level
• Magic polarization for light shift cancellation in two-photon optical clocks
• An Optimized Ion Trap Geometry to Measure Quadrupole Shifts of ${}^{171}$Yb${}^{+}$ Clocks
• Finite field calculations of static polarizabilities and hyperpolarizabilities of In${}^{+}$ and Sr
• Optimizing Passive Quantum Clocks
• The New SI and the Fundamental Constants of Nature
• Simulating Bell violations without quantum computers
• Observation of the 717 nm electric quadrupole transition in triply charged thorium
• Unpolarized, incoherent repumping light for prevention of dark states in a trapped and laser-cooled single ion
• Parallel ion strings in linear multipole traps
• Atomic clocks: new prospects in metrology and geodesy
• Resolving all-order method convergence problems for atomic physics applications
• Influence of cosmological expansion in local experiments
• Application of lasers to ultracold atoms and molecules
• Probing Bosonic Stars with Atomic Clocks
• Time-energy uncertainty relation for noisy quantum metrology
• Robust Polarization Gradient Cooling of Trapped Ions
• Estimation of BBR shift due to Stark effect for the Microwave ${}^{113}$Cd${}^{+}$ Ion Clock
• Direct laser cooling Al+ ions optical clocks
• Effective three particle forces in polyvalent atoms
• Phase-stabilized UV light at 267 nm through twofold second harmonic generation
• Vector polarizability of atomic state induced by a linearly polarized vortex beam: External control of magic, tune-out wavelengths, and heteronuclear spin oscillations
• Evaluation of blackbody radiation shift with temperature associated fractional uncertainty at 10E-18 level for 40Ca+ ion optical clock
• Fock-space relativistic coupled-cluster calculation of hyperfine induced ${}^1{\mathbf{S}}_0\to {}^3{\mathbf{P}}_0^{\mathbf{o}}$ clock transition in Al${}^{+}$
• Measurement of the Speed of Gravity
• Using atomic clocks to detect local dark matter halos
• Many-Body Physics with Trapped Ions
• Relativistic semiempirical-core-potential calculations in Ca${}^{+}$, Sr${}^{+}$, and Ba${}^{+}$ ions on Lagrange meshes
• Fock-space perturbed relativistic coupled-cluster theory for electric dipole polarizability of one-valence atomic systems: Application to Al and In
• Role of hyperfine interaction in Landé $g$-factors of ${}^3{P}_0^o$ clock states
• Gravitational clock compass in General Relativity
• Blackbody radiation shift of B${}^{+}$ clock transition
• CIRCUS: an autonomous control system for antimatter, atomic and quantum physics experiments
• Improved estimate of the collisional frequency shift in Al${}^{+}$ optical clocks
• Motional state analysis of a trapped ion by ultra-narrowband composite pulses
• Explicit, analytical radio-frequency heating formulas for spherically symmetric nonneutral plasmas in a Paul trap
• Steady state phonon occupation of EIT cooling: higher order calculations
• A simple method for characterization of the magnetic field in an ion trap using Be+ ions
• Quantum logic spectroscopy with ions in thermal motion
• Optomechanical Entanglement between an Ion and an Optical Cavity Field
• The higher-order black-body radiation shift of atomic energy-levels
• Analytically exploiting noise correlations inside the feedback loop to improve locked-oscillator performance
• Precise many-body calculations and hyperfine interaction effect on dynamic polarizabilities at the low-lying energy levels of Y${}^{2+}$
• Interactions and charge transfer dynamics of an Al${}^{+}$ ion immersed in ultracold Rb and Sr atoms
• Square Kilometer Array Telescope - Precision Reference Frequency Synchronisation via 1f-2f Dissemination
• Accurate determination of the Boltzmann constant by Doppler spectroscopy: Towards a new definition of the kelvin
• Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza-Klein (Jordan-Thiry) Theory
• Experimental demonstration of a surface-electrode multipole ion trap
• Entanglement-enhanced Synchronous differential comparison
• Black-body radiation shift of the Ga${}^{+}$ clock transition
• Femtosecond wavepacket interferometry using the rotational dynamics of a trapped cold molecular ion
• Cold Atoms in Space: Community Workshop Summary and Proposed Road-Map
• A microresonator frequency comb optical clock
• Is it possible to distinguish between different black hole solutions using the Shapiro time delay?
• Quantum Sensing Using Atomic Clocks for Nuclear and Particle Physics
• Ground state EIT cooling of ${}^{171}$Yb${}^{+}$ ion
• Clock frequency estimation under spontaneous emission
• Coupling atoms to cavities with narrow linewidth optical transitions: Applications to frequency metrology
• Electrostatic Time Dilation and Redshift
• Gravitational clock compass and the detection of gravitational waves
• Astronomical relativistic reference systems with multipolar expansion: the global one
• Phase Stabilization of a Frequency Comb using Multipulse Quantum Interferometry
• Detection Techniques for Trapped Ions
• Time-dependent quantum harmonic oscillator: a continuous route from adiabatic to sudden changes
• Development and Characterization of a 171Yb+ Miniature Ion Trap Frequency Standard
• Extended gravitational clock compass: new exact solutions and simulations
• Modelling of transient interference phenomena in collinear laser spectroscopy
• Investigating the $4D_{3/2}|3,\pm 2⟩$--$4D_{5/2}|3,\pm 2⟩$ transition in Nb${}^{4+}$ for a THz atomic clock
• Incorporating an Optical Clock into a Time Scale
• Endcap-Type Paul Trap for Precision Spectroscopy and Studies of Controlled Interactions